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AIMS AND SCOPE Proc. R. Soc. A publishes research articles across the mathematical,physical and engineering sciences. The emphasis is on high-quality,original, fundamental articles of interest to a wide range of scientists,in emerging and interdisciplinary areas as well as established disci-plines.

M. V. Berry FRS, Editor, HH Wills PhysicsLaboratory, University of Bristol

C. W. Anderson, Department ofProbability and Statistics, University ofSheffield

S. Bandyopadhyay, Department ofElectrical Engineering, VirginiaCommonwealth University

L. Botten, Department of MathematicalSciences, University of Technology, Sydney

O. Bruno, Applied ComputationalMathematics, California Institute ofTechnology

S. Carlip, Department of Physics,University of California, Davis

C. R. A. Catlow FRS, Department ofChemistry, University College London

M. Chai, Department of Chemistry,Central Michigan University

D. Crowdy, Department of Mathematics,Imperial College London

M. Destrade, School of Mathematics,Statistics and Applied Mathematics,National University of Ireland, Galway

D. Deutsch FRS, Centre for QuantumComputation, University of Oxford

J.-M. Fourneau, PRiSM, Université deVersailles St Quentin

M. S. Freund, Department of Chemistry,University of Manitoba

E. Gelenbe, Electronic and ElectricalEngineering, Imperial College London

M. Green, Department of Physics, King’s College London

A. L. Greer, Department of Materials Scienceand Metallurgy, University of Cambridge

D. J. Higham, Department of Mathematicsand Statistics, University of Strathclyde

A. Hirsa, Department of Mechanical,Aerospace and Nuclear Engineering,Rensselaer Polytechnic Institute

C. J. Howls, School of Mathematics,University of Southampton

J. W. Hutchinson, Division of Engineeringand Applied Sciences, Harvard University

O. E. Jensen, School of MathematicalSciences, University of Nottingham

M. Lakshmanan, Centre for NonlinearDynamics, Bharathidasan University

P. F. Linden FRS, Department ofMechanical and Aerospace Engineering,University of California, San Diego

R. MacKay FRS, Mathematics Institute,University of Warwick

D. McKenzie, School of Physics, Universityof Sydney

K. Nakamura, Department of AppliedPhysics, Osaka City University

D. W. Noid, Chemical and AnalyticalScience Division, Oak Ridge NationalLaboratory

T. Palmer FRS, ECMWF

D. Phillips, Department of Chemistry,Imperial College London

M. Plenio, Department of Physics, Imperial College London

J. J. Rice, Functional Genomics and Systems Biology, IBM TJ Watson Research Center

B. Rustem, Department of Computing,Imperial College London

P. Sammonds, Department of EarthSciences, University College London

P. Sheng, Institute of Nano Science andTechnology, Hong Kong University ofScience and Technology

A. Sousa, Department of MechanicalEngineering, University of New Brunswick

S. Sparks FRS, Department of EarthSciences, University of Bristol

S. Spector, Department of Mathematics,Southern Illinois University

D. M. A. Stuart, Department of AppliedMathematics and Theoretical Physics,University of Cambridge

Z. Suo, School of Engineering and AppliedSciences, Harvard University

A. Tate, Artificial Intelligence ApplicationsInstitute, University of Edinburgh

J. M. Thomas FRS, Department ofMaterials Science and Metallurgy,University of Cambridge

G. Wake FRSNZ, Institute of Informationand Mathematical Sciences, MasseyUniversity

T. Wei, Department of Mechanical,Aerospace and Nuclear Engineering,Rensselaer Polytechnic Institute

R. Wong, Department of Mathematics,City University of Hong Kong

J. Woodhouse FRS, Department of EarthSciences, University of Oxford

N. Yao, Imaging and Analysis Center,Princeton Institute for the Science andTechnology of Materials

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Front cover: A model of the interface between 45S5 Bioglass (R) and liquid water, highlighting the extended network ofwater–water and water–glass hydrogen bonds. Image courtesy of Antonio Tilocca. See Proc. R. Soc. A (2011), 467, 2102–2111(doi:10.1098/rspa.2010.0519).

GUIDANCE FOR AUTHORS

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Proceedings ofthe Royal Society A

Mathematical, Physical andEngineering Sciences

VOLUME 4672011

Published byTHE ROYAL SOCIETY

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ISSN 1364–5021

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Except as otherwise permitted under the Copyright, Designs and Patents Act, 1988,this publication may only be reproduced, stored or transmitted, in any form or by any means,

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Proc. R. Soc. A (2011)

Contents

No. 1 8 January 2011

Comments and invited repliesComment on Makarieva et al. ‘A critique of some modern applications of the Carnot heatengine concept: the dissipative heat engine cannot exist’

By M. Bister, N. Renno, O. Pauluis & K. Emanuel 1

Research articlesTipping points in Cattaneo–Christov thermohaline convection

By B. Straughan 7Hydrodynamic object recognition using pressure sensing

By R. Bouffanais, G. D. Weymouth & D. K. P. Yue 19A Gibbs-potential-based formulation for obtaining the response functions for a class ofviscoelastic materials

By K. R. Rajagopal & A. R. Srinivasa 39The electrodynamics of inhomogeneous rotating media and the Abraham and Minkowskitensors. I. General theory

By S. Goto, R. W. Tucker & T. J. Walton 59The electrodynamics of inhomogeneous rotating media and the Abraham and Minkowskitensors. II. Applications

By S. Goto, R. W. Tucker & T. J. Walton 79Four-branch vibrational spectrum of double-walled carbon nanotube model

By M. A. Shubov & M. Rojas-Arenaza 99A first integral of Navier–Stokes equations and its applications

By M. Scholle, A. Haas & P. H. Gaskell 127An acoustic analogy formulation for moving sources in uniformly moving media

By A. Najafi-Yazdi, G. A. Brès & L. Mongeau 144Charge-density waves arising from two electron bands

By D. W. Buker 166Crust formation in drying colloidal suspensions

By R. W. Style & S. S. L. Peppin 174Moisture dynamics in walls: response to micro-environment and climate change

By C. Hall, A. Hamilton, W. D. Hoff, H. A. Viles & J. A. Eklund 194Quantum statistics on graphs

By J. M. Harrison, J. P. Keating & J. M. Robbins 212Extraordinary ductility in Al-bearing δ-TRIP steel

By H. L. Yi, K. Y. Lee & H. K. D. H. Bhadeshia 234The expected lifetime of an extraction project

By G. W. Evatt, P. V. Johnson, P. W. Duck, S. D. Howell & J. Moriarty 244On the convergence of second-order spectra and multiplicity

By L. Boulton & M. Strauss 264Triangular buckling patterns of twisted inextensible strips

By A. P. Korte, E. L. Starostin & G. H. M. van der Heijden 285

Proc. R. Soc. A (2011) iii

iv Contents

No. 2 8 February 2011

Comments and invited repliesA linguist’s comment on ‘Pictish symbols revealed as a written language throughapplication of Shannon entropy’

By A. Fournet 305Reply to Fournet: Pictish symbols revealed as a written language through application ofShannon entropy

By R. Lee, P. Jonathan & P. Ziman 309

Research articlesInversion of higher order isotropic tensors with minor symmetries and solution of higherorder heterogeneity problems

By V. Monchiet & G. Bonnet 314Generalized Heine’s identity for complex Fourier series of binomials

By H. S. Cohl & D. E. Dominici 333Doubly periodic array of bubbles in a Hele-Shaw cell

By A. M. P. Silva & G. L. Vasconcelos 346Vibration of spinning discs and powder formation in centrifugal atomization

By H. Deng & H. Ouyang 361Large-scale simulation of normal grain growth via diffusion-generated motion

By M. Elsey, S. Esedoglu & P. Smereka 381The Föppl-von Kármán equations for plates with incompatible strains

By M. Lewicka, L. Mahadevan & M. R. Pakzad 402Anisotropic spin system, quantized Dirac monopole and the Berry phase

By P. Bandyopadhyay 427Auxetic behaviour from connected different-sized squares and rectangles

By J. N. Grima, E. Manicaro & D. Attard 439Classical simulation of commuting quantum computations implies collapse of thepolynomial hierarchy

By M. J. Bremner, R. Jozsa & D. J. Shepherd 459Estimation of upper bounds for the applicability of non-linear similarity functionsfor non-dimensional wind and temperature profiles in the surface layer in verystable conditions

By M. Sharan & P. Kumar 473Rayleigh surface waves and their canonically associated quasi-particles

By M. Rousseau & G. A. Maugin 495Mixed diffusion-controlled growth of pearlite in binary steel

By A. S. Pandit & H. K. D. H. Bhadeshia 508A simple expression for fluid inertia force acting on micro-plates undergoing squeezefilm damping

By S. Huang, D.-A. Borca-Tasciuc & J. A. Tichy 522A numerical study of hydrologically driven glacier dynamics and subglacial flooding

By S. Pimentel & G. E. Flowers 537Nanoscale thermodynamics of biological interfacial tension

By A. Fernández 559


Contents v

Dynamics of an electrostatically charged elastic rod in fluidBy S. Lim, Y. Kim & D. Swigon 569

Luminescence from hydrodynamic cavitationBy M. Farhat, A. Chakravarty & J. E. Field 591

No. 3 8 March 2011

Research articlesSolutions to Eshelby’s problems of non-elliptical thermal inclusions and cylindrical elasticinclusions of non-elliptical cross section

By W.-N. Zou, Q.-S. Zheng & Q.-C. He 607Validation of the energy-balance approach to curve-shaped shear-band propagation in soil

By E. Saurer & A. M. Puzrin 627Skimming impacts and rebounds on shallow liquid layers

By P. D. Hicks & F. T. Smith 653Three-dimensional secondary instability of a spatially developing von Kármán vortexstreet in a far wake

By J. T. C. Liu & X. Yu 675Minimal energy for elastic inclusions

By H. Knüpfer & R. V. Kohn 695Approximating intrinsic noise in continuous multispecies models

By M. Scott, F. J. Poulin & H. Tang 718Thermal dynamics in general relativity

By C. S. Lopez-Monsalvo & N. Andersson 738Simple shearing of soft biological tissues

By C. O. Horgan & J. G. Murphy 760The evolution of large non-breaking waves in intermediate and shallow water. I.Numerical calculations of uni-directional seas

By V. Katsardi & C. Swan 778Microstructure reconstruction using entropic descriptors

By R. Piasecki 806Quantum matchgate computations and linear threshold gates

By M. Van den Nest 821Freeform surface filtering using the diffusion equation

By X. Jiang, P. Cooper & P. J. Scott 841Dynamic modelling of a single-walled carbon nanotube for nanoparticledelivery

By H.-L. Lee & W.-J. Chang 860Flexural waves in structured elastic plates: Mindlin versus bi-harmonic models

By N. V. Movchan, R. C. McPhedran & A. B. Movchan 869Four bugs on a rectangle

By S. J. Chapman, J. Lottes & L. N. Trefethen 881An application of compound Poisson modelling to biological dosimetry

By P. Puig & J. F. Barquinero 897


vi Contents

No. 4 8 April 2011

Research articlesA fully nonlinear, dynamically consistent numerical model for solid-body ship motion. I.Ship motion with fixed heading

By R.-Q. Lin & W. Kuang 911

A computational study of the molecular and crystal structure and selected physicalproperties of octahydridosilasequioxane–(Si2O3H2)4. I. Electronic and structural aspects

By C. J. H. Schutte & J. A. Pretorius 928

Asymptotic estimates for Stieltjes constants: a probabilistic approachBy J. A. Adell 954

Waves and damage in structured solids with multi-scale resonatorsBy I. S. Jones, A. B. Movchan & M. Gei 964

Collapse mechanism maps for a hollow pyramidal latticeBy S. M. Pingle, N. A. Fleck, V. S. Deshpande & H. N. G. Wadley 985

An alternative criterion in heat transfer optimizationBy Q. Chen, H. Zhu, N. Pan & Z.-Y. Guo 1012

Analytical treatment of cold field electron emission from a nanowall emitter, includingquantum confinement effects

By X.-Z. Qin, W.-L. Wang, N.-S. Xu, Z.-B. Li & R. G. Forbes 1029

Hybrid approach to analysis of β-sheet structures based on signal processing andstatistical consideration

By V. Vojisavljevic, E. Pirogova, D. M. Davidovic & I. Cosic 1052

Uniform asymptotics of the coefficients of unitary moment polynomialsBy G. A. Hiary & M. O. Rubinstein 1073

Optimum structure to carry a uniform load between pinned supports: exact analyticalsolution

By A. Tyas, A. V. Pichugin & M. Gilbert 1101

Gaussian curvature from flat elastica sheetsBy C. D. Modes, K. Bhattacharya & M. Warner 1121

Applying the method of normal forms to second-order nonlinear vibration problemsBy S. A. Neild & D. J. Wagg 1141

Resonant instability in two-dimensional vortex arraysBy P. Luzzatto-Fegiz & C. H. K. Williamson 1164

A study on the principle of maximum dissipation for coupled and non-couplednon-isothermal processes in materials

By K. Hackl, F. D. Fischer & J. Svoboda 1186The helicity and vorticity of liquid-crystal flows

By F. Gay-Balmaz & C. Tronci 1197

CorrectionsFractal solids, product measures and fractional wave equations

By J. Li & M. Ostoja-Starzewski 1214


Contents vii

No. 5 8 May 2011

Research articlesReynolds averaged Navier–Stokes modelling of long waves induced by a transient wavegroup on a beach

By J. L. Lara, A. Ruju & I. J. Losada 1215Excitability in ramped systems: the compost-bomb instability

By S. Wieczorek, P. Ashwin, C. M. Luke & P. M. Cox 1243Compressive dynamic scission of carbon nanotubes under sonication: fracture byatomic ejection

By H. B. Chew, M.-W. Moon, K.-R. Lee & K.-S. Kim 1270A Mars hopping vehicle propelled by a radioisotope thermal rocket: thermofluid designand materials selection

By H. R. Williams, R. M. Ambrosi & N. P. Bannister 1290Anisotropy of the static dipole polarizability induced by the spin–orbit interaction: theS-state atoms N–Bi, Cr, Mo and Re

By A. A. Buchachenko 1310Stress measurement in East Asian lacquer thin films owing to changes in relativehumidity using phase-shifting interferometry

By A. E. Elmahdy, P. D. Ruiz, R. D. Wildman, J. M. Huntley & S. Rivers 1329A two-layer approach to modelling the transformation of dilute pyroclastic currents intodense pyroclastic flows

By E. E. Doyle, A. J. Hogg & H. M. Mader 1348Numerical study of shearing of a microfibre during friction testing of a microfibre array

By A. Kumar & C.-Y. Hui 1372Solar System tests of Horava–Lifshitz gravity

By T. Harko, Z. Kovács & F. S. N. Lobo 1390The mechanism of porosity formation during solvent-mediated phase transformations

By C. Raufaste, B. Jamtveit, T. John, P. Meakin & D. K. Dysthe 1408Green fireballs and ball lightning

By S. Hughes 1427A polymer–solvent model of biofilm growth

By H. F. Winstanley, M. Chapwanya, M. J. McGuinness & A. C. Fowler 1449Point vortex equilibria and optimal packings of circles on a sphere

By P. K. Newton & T. Sakajo 1468On the ‘high spots’ of fundamental sloshing modes in a trough

By T. Kulczycki & N. Kuznetsov 1491On a bifurcation structure mimicking period adding

By B. Schenke, V. Avrutin & M. Schanz 1503

No. 6 8 June 2011

Review articlesSequential games and optimal strategies

By M. Escardo & P. Oliva 1519


viii Contents

Research articlesOn the inverse spectral problem for Euclidean triangles

By P. R. S. Antunes & P. Freitas 1546Strong and weak divergence in finite time of Euler’s method for stochastic differentialequations with non-globally Lipschitz continuous coefficients

By M. Hutzenthaler, A. Jentzen & P. E. Kloeden 1563On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian

By P. R. S. Antunes & A. Henrot 1577Duality of privacy amplification against quantum adversaries and data compression withquantum side information

By J. M. Renes 1604Stress concentrations, diffusionally accommodated grain boundary sliding and theviscoelasticity of polycrystals

By L. C. Lee, S. J. S. Morris & J. Wilkening 1624Electrokinetic self-propulsion by inhomogeneous surface kinetics

By E. Yariv 1645Elastohydrodynamics of wet bristles, carpets and brushes

By A. Gopinath & L. Mahadevan 1665Structures buckling under tensile dead load

By D. Zaccaria, D. Bigoni, G. Noselli & D. Misseroni 1686The ‘non-Kerrness’ of domains of outer communication of black holes and exteriors ofstars

By T. Bäckdahl & J. A. Valiente Kroon 1701Scale-invariant filtering design and analysis for edge detection

By S. Mahmoodi 1719The origin of similarity fields in steady elastoplastic crack propagation under K–T loading

By J. B. Park, T. Sabuwala & G. Gioia 1739Effective Willis constitutive equations for periodically stratified anisotropic elastic media

By A. L. Shuvalov, A. A. Kutsenko, A. N. Norris & O. Poncelet 1749Information erasure without an energy cost

By J. A. Vaccaro & S. M. Barnett 1770Streaming by leaky surface acoustic waves

By J. Vanneste & O. Bühler 1779Feedback-induced instability in tapping mode atomic force microscopy: theory andexperiment

By O. Payton, A. R. Champneys, M. E. Homer, L. Picco & M. J. Miles 1801

No. 7 8 July 2011

Research articlesScalar evolution equations for shear waves in incompressible solids: a simple derivation ofthe Z, ZK, KZK and KP equations

By M. Destrade, A. Goriely & G. Saccomandi 1823Classification of Sturm–Liouville differential equations with complex coefficients andoperator realizations

By J. Qi, Z. Zheng & H. Sun 1835


Contents ix

A ballistic-diffusive heat conduction model extracted from Boltzmann transport equationBy M. Xu & H. Hu 1851

Effective constitutive relations for waves in composites and metamaterialsBy J. R. Willis 1865

Special featureHigh-performance computing in the chemistry and physics of materials

By S. M. Woodley & C. R. A. Catlow 1880The decomposition of H2O2 over the components of Au/TiO2 catalysts

By A. Thetford, G. J. Hutchings, S. H. Taylor & D. J. Willock 1885Characterization of hydrogen dissociation over aluminium-doped zinc oxide using anefficient massively parallel framework for QM/MM calculations

By T. W. Keal, P. Sherwood, G. Dutta, A. A. Sokol & C. R. A. Catlow 1900Phase separation and surface segregation in ceria–zirconia solid solutions

By R. Grau-Crespo, N. H. de Leeuw, S. Hamad & U. V. Waghmare 1925The intrinsic interfacial structure of ionic surfactant monolayers at water–oil andwater–vapour interfaces

By H. Martínez, E. Chacón, P. Tarazona & F. Bresme 1939A density functional theory study of the adsorption of uracil on the Au(100) surface

By S. Irrera & N. H. de Leeuw 1959Effects of reduced dimensionality on the electronic structure and defect chemistry ofsemiconducting hybrid organic–inorganic PbS solids

By A. Walsh 1970A computer simulation study of the interaction between passivated and bare goldnanoclusters

By M. Lal, M. Plummer, J. Purton & W. Smith 1986Study of 40-atom Pt–Au clusters using a combined empirical potential-density functionalapproach

By D. T. Tran & R. L. Johnston 2004Atomistic and electronic structure of (X2O3)n nanoclusters; n = 1–5, X = B, Al, Ga, Inand Tl

By S. M. Woodley 2020Electron and hole trapping in polycrystalline metal oxide materials

By K. P. McKenna & A. L. Shluger 2043An ab initio study of the effect of charge localization on oxygen defect formation andmigration energies in magnesium oxide

By J. Mulroue & D. M. Duffy 2054Models of stoichiometric and oxygen-deficient surfaces of subnanoporous 12CaO · 7Al2O3

By P. V. Sushko, A. L. Shluger, Y. Toda, M. Hirano & H. Hosono 2066Binding of glycosaminoglycan saccharides to hydroxyapatite surfaces: a densityfunctional theory study

By I. Streeter & N. H. de Leeuw 2084The initial stages of bioglass dissolution: a Car–Parrinello molecular-dynamics study ofthe glass–water interface

By A. Tilocca & A. N. Cormack 2102


x Contents

Parallel implementation of the ab initio CRYSTAL program: electronic structurecalculations for periodic systems

By I. J. Bush, S. Tomic, B. G. Searle, G. Mallia, C. L. Bailey, B. Montanari,L. Bernasconi, J. M. Carr & N. M. Harrison 2112

No. 8 8 August 2011

Research articlesSlowing the evolution of insecticide resistance in mosquitoes: a mathematical model

By S. A. Gourley, R. Liu & J. Wu 2127Resonant oscillations of an inhomogeneous gas between concentric spheres

By B. R. Seymour, M. P. Mortell & D. E. Amundsen 2149Relative equilibria of point vortices and the fundamental theorem of algebra

By H. Aref 2168Criteria for convective versus absolute string instability in car-following models

By J. A. Ward & R. E. Wilson 2185A mechanism for enhanced static sliding resistance owing to surface waviness

By J. F. Waters & P. R. Guduru 2209Variational estimates for the effective response and field statistics in thermoelasticcomposites with intra-phase property fluctuations

By N. Lahellec, P. Ponte Castañeda & P. Suquet 2224An investigation into the feasibility of internal strain measurement in solids bycorrelation of ultrasonic images

By A. I. Bowler, B. W. Drinkwater & P. D. Wilcox 2247Identifying the ‘inorganic gene’ for high-temperature piezoelectric perovskites throughstatistical learning

By P. V. Balachandran, S. R. Broderick & K. Rajan 2271The effect of shear on acoustic cloaking

By J. D. Smith & P. E. Verrier 2291Quantification of fibre polymerization through Fourier space image analysis

By A. Nekouzadeh & G. M. Genin 2310The influence of disorder on deformations in semiflexible networks

By J. R. Blundell & E. M. Terentjev 2330The time machine: a simulation approach for stochastic trees

By A. Jasra, M. De Iorio & M. Chadeau-Hyam 2350The number and types of all possible rotational symmetries for flexoelectric tensors

By H. Le Quang & Q.-C. He 2369Random search with k-prototypes algorithm for clustering mixed datasets

By D.-T. Pham, M. M. Suarez-Alvarez & Y. I. Prostov 2387Canards and curvature: the ‘smallness of ε‘ in slow–fast dynamics

By M. Desroches & M. R. Jeffrey 2404

CorrectionsA study on the principle of maximum dissipation for coupled and non-couplednon-isothermal processes in materials

By K. Hackl, F. D. Fischer & J. Svoboda 2422On the two-dimensional sloshing problem

By V. Kozlov, N. Kuznetsov & O. Motygin 2427


Contents xi

No. 9 8 September 2011

PerspectiveChallenges in geographical information science

By M. F. Goodchild 2431

Research articlesProgressive failure of a constrained creeping landslide

By A. M. Puzrin & A. Schmid 2444The Riemann hypothesis and the zero distribution of angular lattice sums

By R. C. McPhedran, L. C. Botten, D. J. Williamson & N.-A. P. Nicorovici 2462High orders of Weyl series for the heat content

By I. Travenec & L. Šamaj 2479Lateral and transverse shifts in reflected dipole radiation

By M. V. Berry 2500Heat waves and phonon–wall collisions in nanowires

By D. Jou, A. Sellitto & F. X. Alvarez 2520Reaction-layer asymptotics and the electrochemical pickling of steel

By M. Vynnycky & N. Ipek 2534A solution for folding rigid tall shopping bags

By W. Wu & Z. You 2561Maximum-likelihood estimation of damage location in guided-wave structural healthmonitoring

By E. B. Flynn, M. D. Todd, P. D. Wilcox, B. W. Drinkwater & A. J. Croxford 2575Perturbations of dark solitons

By M. J. Ablowitz, S. D. Nixon, T. P. Horikis & D. J. Frantzeskakis 2597Three-dimensional Green’s functions for two-dimensional quasi-crystal bimaterials

By Y. Gao & A. Ricoeur 2622The linear stability of oscillatory Poiseuille flow in channels and pipes

By C. Thomas, A. P. Bassom, P. J. Blennerhassett & C. Davies 2643The singular terms in the fundamental matrix of crystal optics

By P. Wagner 2663Approximation properties of the q-sine bases

By L. Boulton & G. Lord 2690Cointegration: a novel approach for the removal of environmental trends in structuralhealth monitoring data

By E. J. Cross, K. Worden & Q. Chen 2712

CorrectionsExcitability in ramped systems: the compost-bomb instability

By S. Wieczorek, P. Ashwin, C. M. Luke & P. M. Cox 2733

No. 10 8 October 2011

PerspectiveThe First Stars: clues from quasar absorption systems

By M. Pettini 2735


xii Contents

Review articlesMaximum-principle-satisfying and positivity-preserving high-order schemes forconservation laws: survey and new developments

By X. Zhang & C.-W. Shu 2752

Research articlesCloud base height and cosmic rays

By R. G. Harrison, M. H. P. Ambaum & M. Lockwood 2777The modified Sutherland–Einstein relation for diffusive non-equilibria

By M. Baiesi, C. Maes & B. Wynants 2792Approximation of potential-driven flow dynamics in large-scale self-similar tree networks

By J. Mayes & M. Sen 2810Gain from the two-envelope problem via information asymmetry: on the suboptimality ofrandomized switching

By M. D. McDonnell, A. J. Grant, I. Land, B. N. Vellambi, D. Abbott & K. Lever 2825Elastohydrodynamics induced by a rapidly moving microscopic body

By R. J. Clarke & S. Potnis 2852Dispersion and localization of elastic waves in materials with microstructure

By D. J. Colquitt, I. S. Jones, N. V. Movchan & A. B. Movchan 2874Stress and couple-stress invariance in non-centrosymmetric micropolar planar elasticity

By H. Joumaa & M. Ostoja-Starzewski 2896Chaitin’s halting probability and the compression of strings using oracles

By G. Barmpalias & A. E. M. Lewis 2912Transmission coefficients for the exact triangular barrier: an exact general analyticaltheory that can replace Fowler & Nordheim’s 1928 theory

By R. G. Forbes & J. H. B. Deane 2927Diffusion-controlled growth of pearlite in ternary steels

By A. S. Pandit & H. K. D. H. Bhadeshia 2948Propagation of elastic waves through a lattice of cylindrical cavities

By S. Guo & P. McIver 2962A numerical implementation of Fokas boundary integral approach: Laplace’s equation ona polygonal domain

By B. Fornberg & N. Flyer 2983Did the Draupner wave occur in a crossing sea?

By T. A. A. Adcock, P. H. Taylor, S. Yan, Q. W. Ma & P. A. E. M. Janssen 3004Revealing competitive behaviours in music by means of the multifractal detrendedfluctuation analysis: application to Bach’s Sinfonias

By L. Telesca & M. Lovallo 3022

CorrectionsA multiplicity result for a nonlinear degenerate problem arising in the theory ofelectrorheological fluids

By M. Mihailescu & V. Radulescu 3033Supporting electrolyte asymptotics and the electrochemical pickling of steel

By M. Vynnycky 3035


Contents xiii

No. 11 8 November 2011

Research articlesRecovery by triple junction motion in aluminium deformed to ultrahigh strains

By T. Yu, N. Hansen & X. Huang 3039Turbulent transition in a truncated one-dimensional model for shear flow

By J. H. P. Dawes & W. J. Giles 3066Generalized methods and solvers for noise removal from piecewise constant signals. I.Background theory

By M. A. Little & N. S. Jones 3088Generalized methods and solvers for noise removal from piecewise constant signals. II.New methods

By M. A. Little & N. S. Jones 3115Thermal stability of retained austenite in bainitic steel: an in situ study

By A. Saha Podder, I. Lonardelli, A. Molinari & H. K. D. H. Bhadeshia 3141Analytical solution of the Poisson–Nernst–Planck–Stokes equations in a cylindricalchannel

By P. Berg & J. Findlay 3157Effects of finite chain extensibility on the stress fields near the tip of a mode III crack

By R. Long & C.-Y. Hui 3170Stochastic modelling of phytoremediation

By S. Manzoni, A. Molini & A. Porporato 3188Extensions of Noether’s Second Theorem: from continuous to discrete systems

By P. E. Hydon & E. L. Mansfield 3206Exploring isospectral spring–mass systems with firefly algorithm

By R. Dutta, R. Ganguli & V. Mani 3222An extended thermodynamic model of transient heat conduction at sub-continuum scales

By G. Lebon, H. Machrafi, M. Grmela & Ch. Dubois 3241Spreading of a dielectric droplet through an interfacial electric pressure

By S. R. Mahmoudi, K. Adamiak & G. S. P. Castle 3257Pattern solutions of the Klausmeier model for banded vegetation in semi-aridenvironments II: patterns with the largest possible propagation speeds

By J. A. Sherratt 3272On the Lagrangian formulation of multidimensionally consistent systems

By P. Xenitidis, F. Nijhoff & S. Lobb 3295Application of the method of asymptotic homogenization to an acoustic metafluid

By J. D. Smith 3318

CorrectionsAddendum. Laplacian image contrast in mirror electron microscopy

By S. M. Kennedy, C. X. Zheng, W. X. Tang, D. M. Paganin & D. E. Jesson 3332

No. 12 8 December 2011

Research articlesGeneralized analytic functions in magnetohydrodynamics

By M. Zabarankin 3343


xiv Contents

Minimum-drag shapes in magnetohydrodynamicsBy M. Zabarankin 3371

A linear-optical proof that the permanent is #P-hardBy S. Aaronson 3393

Generation of internal gravity waves by an oscillating horizontal discBy P. A. Martin & S. G. Llewellyn Smith 3406

Multi-symplectic formulation of near-local Hamiltonian balanced modelsBy S. Delahaies & P. E. Hydon 3424

Exact solutions of a q-discrete second Painlevé equation from its iso-monodromydeformation problem: I. Rational solutions

By N. Joshi & Y. Shi 3443Heat and sweat transport through clothing assemblies with phase changes,condensation/evaporation and absorption

By Q. Zhang, B. Li & W. Sun 3469Steady-state propagation of dislocations in quasi-crystals

By E. Radi & P. M. Mariano 3490Fast and slow interaction of elastic waves with platonic clusters

By M. H. Meylan & R. C. McPhedran 3509Effect of surface elasticity on an interface crack in plane deformations

By C. I. Kim, P. Schiavone & C.-Q. Ru 3530Micro-pixel accuracy centroid displacement estimation and detector calibration

By C. Zhai, M. Shao, R. Goullioud & B. Nemati 3550On approximations to a class of Jaeger integrals

By W. R. C. Phillips & P. J. Mahon 3570Computing a ranking network with confidence bounds from a graph-based Betarandom field

By H. Fushing, M. P. McAssey & B. McCowan 3590Trapping of water waves by freely floating structures in a channel

By S. A. Nazarov & J. H. Videman 3613Positive or negative Poynting effect? The role of adscititious inequalities inhyperelastic materials

By L. A. Mihai & A. Goriely 3633


guidance for authors editor sir michael berry frs ......s. spector, department of mathematics,...

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