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ANZIAM 2019 55 th Meeting 3–7 February 2019 Rutherford Hotel Nelson, New Zealand

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  • ANZIAM 201955th Meeting3–7 February 2019Rutherford HotelNelson, New Zealand

  • The abstracts of the talks in this handbook were provided individually by the authors. Only minortypographical changes have been made by the editors. The opinions, findings, conclusions andrecommendations in this booklet are those of the individual authors.

    We thank Ginny Whatarau, Caroline Nebel, Christo Muller and the team at Vic Venues (VictoriaUniversity of Wellington) for administrative and technical support. We also thank the organisers ofthe ANZIAM 2018 conference for providing their LATEX template files.

    Editors: Michael Plank, Mark McGuinness, Amie Albrecht, Rachelle Binny, Emma Greenbank,Dimitrios Mitsotakis, Julie Mugford, Philip Wilson.

    Web: http://sms.victoria.ac.nz/Events/ANZIAM2019

    ISBN: 978-0-9942562-8-7 (Softcover)ISBN: 978-0-9942562-9-4 (Portable Document e-Format)

    http://sms.victoria.ac.nz/Events/ANZIAM2019

  • CONTENTS 1

    Contents

    1 Conference Details and History 2

    1.1 Organising Committee . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

    1.2 Invited Speakers Committee . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

    1.3 Invited Speakers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

    1.4 Conference Code of Conduct . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

    1.5 Past Conference Locations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

    1.6 The T.M. Cherry Student Prize . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

    1.7 The Cherry Ripe Prize . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

    1.8 The J.H. Michell Medal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6

    1.9 The E.O. Tuck Medal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6

    1.10 The ANZIAM Medal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6

    1.11 The A.F. Pillow Applied Mathematics Top-up Scholarship . . . . . . . . . . . . . . . . 7

    1.12 ANZIAM Student Support Scheme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7

    1.13 Sponsors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7

    2 Conference Events, Venues and Facilities 8

    2.1 Conference Venue . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

    2.2 Conference Welcome Reception . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

    2.3 Internet Access . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

    2.4 Social Media . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

    2.5 Invited Lectures and Contributed Talks . . . . . . . . . . . . . . . . . . . . . . . . . . 10

    2.6 Student Evening . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

    2.7 Women in Mathematical Sciences Lunch . . . . . . . . . . . . . . . . . . . . . . . . . . 10

    2.8 Tuesday Afternoon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

    2.9 Conference Dinner . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

    2.10 Alex McNabb Special Session . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

    2.11 Mathematical Biology Special Interest Group Meeting . . . . . . . . . . . . . . . . . . 11

    3 Conference Programme 11

    4 Conference Abstracts 24

    5 Registered Conference Delegates 134

  • ANZIAM 2019 Conference Handbook 2

    1 Conference Details and History

    1.1 Organising Committee

    • Mike Plank (University of Canterbury) — co-director• Mark McGuinness (Victoria University of Wellington) — co-director• Amie Albrecht (University of South Australia)• Rachelle Binny (Manaaki Whenua)• Emma Greenbank (Victoria University of Wellington)• Dimitrios Mitsotakis (Victoria University of Wellington)• Julie Mugford (University of Canterbury)• Phil Wilson (University of Canterbury)

    1.2 Invited Speakers Committee

    • Vivien Kirk (University of Auckland) — chair• Snezhana Abarzhi (University of Western Australia)• Nigel Bean (University of Adelaide)• Hans de Sterck (Monash University)• Cecilia González Tokman (University of Queensland)• Jari Kaipio (University of Auckland)• Frances Kuo (University of New South Wales)• Terry O’Kane (CSIRO, Hobart)• Mike Plank (University of Canterbury)

    1.3 Invited Speakers

    • Ruth Baker (University of Oxford)• Judith Berner (NCAR, Boulder)• Phil Howlett (University of South Australia)• Claire Postlethwaite (University of Auckland)• Raúl Rojas (Freie Universität Berlin)• Anja Slim (Monash University)• Ian Sloan (University of New South Wales)• Yvonne Stokes (University of Adelaide)• Martin Wechselberger (University of Sydney)

    Raúl Rojas’ plenary talk is generously supported by financial assistance from the Australian ResearchCouncil Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS).

  • ANZIAM 2019 Conference Handbook 3

    1.4 Conference Code of Conduct

    ANZIAM is committed to a professional, open, productive and respectful exchange of ideas. These aimsrequire a community and environment that fosters inclusion, provides mutual respect, and embracesdiversity. All attendees at the ANZIAM 2019 conference are required to agree to the following code ofconduct.

    Harassment in any form will not be tolerated. This includes, but is not limited to, speech or behaviour(whether in person, in presentations or in online discussions) that intimidates, creates discomfort,prevents or interferes with a person’s participation or opportunity for participation in ANZIAM’svision and mission. We aim for ANZIAM to be an organisation where harassment in any form does nothappen, including but not limited to: harassment based on race, gender, religion, age, colour, nationalor ethnic origin, ancestry, disability, marital status, sexual orientation or gender identity. Harassmentincludes but is not limited to: verbal comments that reinforce social structures of domination; sexualimages in public spaces; deliberate intimidation, stalking or following; harassing photography orrecording; sustained disruption of talks or other events; inappropriate physical contact; unwelcomesexual attention; and advocating for or encouraging any of the above behaviour.

    Conference organisers will take seriously all reports of breaches of this code of conduct, and treat allparties with respect and due process without presupposition of guilt. Complaints will be handled withsensitivity, discretion and confidentiality. If a conference participant engages in harassing behaviour,they may be asked by the conference organisers to leave the conference.

    Any event participant who experiences or witnesses harassment should contact one of the representativeslisted on the conference webpage at http://sms.victoria.ac.nz/Events/ANZIAM2019.

  • ANZIAM 2019 Conference Handbook 4

    1.5 Past Conference Locations

    Coorong 1966

    Adelaide 1967

    Halls Gap 1968

    Victor Harbour 1969, 1981

    Lorne 1970, 1974, 1997

    Smiggins Hole 1971

    Wollongong 1972

    Surfers Paradise 1973, 2015

    Tanunda 1975

    Jindabyne 1976

    Terrigal 1977

    Broadbeach 1978

    Leura 1979, 1988

    Cowes 1980

    Bundanoon 1982

    Perth 1983

    Merimbula 1984

    Launceston 1985

    Wirrina 1986

    Wairakei 1987

    Ballarat 1989

    Coolangatta 1990, 1998

    Hanmer Springs 1991

    Batemans Bay 1992

    Hahndorf 1993, 2017

    Busselton 1995

    Masterton 1996

    Mollymook 1999Waitangi 2000

    Barossa Valley 2001

    Canberra 2002, 2016

    Sydney 2003

    Hobart 2004, 2018

    Napier 2005Mansfield 2006

    Fremantle 2007Katoomba 2008

    Caloundra 2009

    Queenstown 2010

    Kangaroo Island 1966

    Glenelg 2011

    Warrnambool 2012

    Pokolbin 1994Newcastle 2013

    Rotorua 2014

    Nelson 2019

    1966 Kangaroo Island (Aug)1966 Coorong (Dec)1967 Adelaide1968 Halls Gap1969 Victor Harbor1970 Lorne1971 Smiggin Holes1972 Wollongong1973 Surfers Paradise1974 Lorne1975 Tanunda1976 Jindabyne1977 Terrigal1978 Broadbeach1979 Leura1980 Cowes1981 Victor Harbor1982 Bundanoon1983 Perth

    1984 Merimbula1985 Launceston1986 Wirrina1987 Wairakei1988 Leura1989 Ballarat1990 Coolangatta1991 Hanmer Springs1992 Batemans Bay1993 Hahndorf1994 Pokolbin1995 Busselton1996 Masterton1997 Lorne1998 Coolangatta1999 Mollymook2000 Waitangi2001 Barossa Valley2002 Canberra

    2003 Sydney2004 Hobart2005 Napier2006 Mansfield2007 Fremantle2008 Katoomba2009 Caloundra2010 Queenstown2011 Glenelg2012 Warrnambool2013 Newcastle2014 Rotorua2015 Surfers Paradise2016 Canberra2017 Hahndorf2018 Hobart2019 Nelson

  • ANZIAM 2019 Conference Handbook 5

    1.6 The T.M. Cherry Student Prize

    An annual prize for the best student talk was introduced in 1969 at Victor Harbor. In May 1976 theDivision of Applied Mathematics titled it the “T.M. Cherry Student Prize” in honour of Professor SirThomas MacFarland Cherry. Past recipients are listed below.

    1969 R. Jones U Adelaide1970 J. Rickard UCL1971 J. Jones Mount Stromlo1972 Not awarded1973 Not awarded1974 R. P. Oertel U Adelaide1975 R. E. Robinson U Sydney1976 J. P. Abbott ANU1977 J. Finnigan CSIRO

    S. Bhaskaran U Adelaide1978 B. Hughes ANU

    P. Robinson UQ1979 J. R. Coleby U Adelaide

    B. Hughes ANU1980 M. Lukas ANU1981 A. Plank UNSW1982 G. Fulford UoW

    J. Gear U Melbourne1983 P. Kovesi UWA1984 A. Kucera UoW

    S. Wright UQ1985 G. Fulford UoW

    F. Murrell U Melbourne1986 A. Becker Monash U

    K. Thalassoudis U Adelaide1988 W. Henry ANU1987 M. Rumsewicz U Adelaide1989 M. Myerscough U Oxford

    J. Roberts U Melbourne1990 J. Best UoW1991 S. K. Lucas U Sydney1992 S. F. Brown UoW1993 D. Standingford U Adelaide1994 B. Barnes Monash U

    1995 A. Buryak ANU1996 A. Gore U Newcastle

    D. Scullen U Adelaide1997 S. Cummins Monash U1998 J. Clark U Sydney

    T. Gourlay U Adelaide1999 E. Ostrovskaya ANU2000 C. Reid Massey U2001 M. Haese U Adelaide2002 V. Gubernov ADFA

    W. Megill UBC/UoW2003 Not awarded2004 K. Mustapha UNSW2005 J. Looker U Melbourne2006 C. Fricke U Melbourne2007 S. Harper Massey U2008 E. Button U Melbourne

    M. Haythorpe UniSA2009 S. Cohen U Adelaide2010 L. Mitchell U Sydney2011 S. Butler U Sydney

    J. Caffrey U Melbourne2012 J. Nassios U Melbourne2013 D. Khoury UNSW

    T. Vo U Sydney2014 M. Chan U Sydney2015 H. Tronnolone U Adelaide2016 D. Arnold U Adelaide

    A. Jenner U Sydney2017 C. Miller U Melbourne

    E. Hester U Sydney2018 N. Fadai U Oxford

    E. Trendenick QUT

    1.7 The Cherry Ripe Prize

    Since 1995 the students have run an alternative competition for the best non-student talk. Pastrecipients are listed below.

    1995 Natashia Boland U Melbourne1996 Andrew Pullan U Auckland1997 Neville de Mestre Bond U1998 David Stump UQ1999 Mark McGuinness VUW2000 Joseph Monaghan Monash U

    Andy Philpott U Auckland2001 Phil Broadbridge UoW2002 Ernie Tuck U Adelaide

    Larry Forbes U Tasmania2004 Stephen Lucas UniSA2005 Kerry Landman U Melbourne2006 Vicky Mak Deakin U

    James Sneyd U Auckland2007 Geoffry Mercer USW

    2008 Neville de Mestre Bond U2009 Philip Maini U Oxford2010 Larry Forbes U Tasmania2011 Larry Forbes U Tasmania

    Darren Crowdy Imperial College2012 Martin Wechselberger U Sydney2013 Scott McCue QUT

    Sheehan Olver U Sydney2014 Peter Kim U Sydney2015 Not awarded2016 Matthew Simpson QUT

    Melanie Roberts IBM Research Australia2017 Christopher Green QUT2018 Chris Lustri Macquarie

  • ANZIAM 2019 Conference Handbook 6

    1.8 The J.H. Michell Medal

    The J.H. Michell Medal is awarded to outstanding new researchers who have carried out distinguishedresearch in applied or industrial mathematics, where a significant proportion of the research work hasbeen carried out in Australia or New Zealand. Past recipients are listed below.

    1999 Harvinder Sidhu UNSW2000 Antoinette Tordesillas U Melbourne2001 Nigel Bean U Adelaide2002 Stephen Lucas UniSA2004 Mark Nelson UoW2006 Sanjeeva Balasuriya U Sydney2007 Yvonne Stokes U Adelaide2008 Carlo Laing Massey U2009 Scott McCue QUT

    2011 Frances Kuo UNSW2012 Matthew Simpson QUT2013 Terence O’Kane CMAR CSIRO2014 Ngamta Thamwattana UoW2015 Barry Cox U Adelaide2016 Joshua Ross U Adelaide2017 Alys Clark U Auckland2018 Claire Postlethwaite U Auckland

    1.9 The E.O. Tuck Medal

    In honour of the late Ernest Oliver Tuck, FAustMS, FTSE and FAA, ANZIAM has instituted a mid-career award for outstanding research and distinguished service to the field of Applied Mathematics.The inaugural E.O. Tuck Medals were presented at ANZIAM 2013.

    2013 Shaun Hendy VUW and Callaghan InnovationGeoffry Mercer ANU

    2015 Troy Farrell QUT2017 Kate Smith-Miles Monash U2018 Yvonne Stokes U Adelaide

    1.10 The ANZIAM Medal

    The ANZIAM Medal is awarded on the basis of research achievements or activities enhancing appliedor industrial mathematics and contributions to ANZIAM. The first award was made in 1995. Pastrecipients are listed below.

    1995 Renfrey Potts U Adelaide1997 Ian Sloan UNSW1999 Ernie Tuck U Adelaide2001 Charles Pearce U Adelaide2004 Roger Grimshaw Loughborough U2006 Graeme Wake Massey U2008 James Hill UoW2010 Bob Anderssen CSIRO2012 Robert McKibbin Massey U2014 Kerry Landman U Melbourne2016 Frank de Hoog CSIRO Canberra2018 Phil Howlett UniSA

  • ANZIAM 2019 Conference Handbook 7

    1.11 The A.F. Pillow Applied Mathematics Top-up Scholarship

    The A.F. Pillow Applied Mathematics Trust offers an annual “top-up” scholarship to a student holdingeither an Australian Postgraduate Award (APA) or equivalent award for full-time research in AppliedMathematics leading to the award of a PhD. The aim of the A.F. Pillow Applied Mathematics Top-upScholarship is to increase the quality of postgraduate students in the field of applied mathematics inAustralia. Past recipients are listed below.

    2009 Christopher Lustri QUT2010 Alex Badran UoW2011 Michael Dallaston QUT2012 Hayden Tronnolone U Adelaide2013 Lisa Mayo QUT2014 Audrey Markowskei Macquarie U2015 Pouya Baniasadi Flinders U2016 Alexander Tam U Adelaide2017 Jody Fisher Flinders U

    1.12 ANZIAM Student Support Scheme

    The organising committee is thankful for funding received from the ANZIAM Student Support Schemeto assist the following students to attend the ANZIAM 2019 conference:

    Rosemary AogoClaudio Arancibia-IbarraJason ArcherSarah BeletPhillip BrownAlexander BrowningJessica CrawshawSean DawsonDilruk GallageFillipe GeorgiouBrent GigginsEmma Greenbank

    Matthew HopwoodCailan Jeynes-SmithAngus LewisConway LiDennis LiuBenjamin MaldonNathan MarchClaire MillerJulie MugfordRyan MurphyDiana NguyenCody Nitschke

    Andrew PhairGeorges RadoheryGagani RanathungaMartin SagradianJesse SharpAlexander TamTurker TopalGiorgia VattiatoJames WalkerDavid WarneYuhuang Wu

    1.13 Sponsors

    Financial support from the following sponsors is gratefully acknowledged:

    • Professor Kate Smith-Miles (U. Melbourne) Georgina Sweet Australian Laureate Fellowship

    • Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers(ACEMS)

    • Technic Pty Ltd - COMSOL Multiphysicsr Sales and Support in Australia and New Zealand

    • Te Pūnaha Matatini, a New Zealand Centre of Research Excellence

    • PDE Solutions Inc

    • Wolfram Research Inc

    • Lone Star Bar & Restaurant, 90 Hardy St, Nelson

  • ANZIAM 2019 Conference Handbook 8

    2 Conference Events, Venues and Facilities

    2.1 Conference Venue

    ANZIAM 2019 is being held at the Rutherford Hotel, 27 Nile St West, Nelson 7010, New Zealand.

    The registration desk will be open from 3–6 pm on Sunday 3 February and from 8–8.40 am on Monday4 February.

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  • ANZIAM 2019 Conference Handbook 9

    Conference rooms are located on the ground floor of the Rutherford Hotel; the floor plan is shownbelow. The five meeting rooms are Maitai 2, Waimea, Wairau, Riwaka, and Heaphy.

    Besides the mens and womens toilets, there are toilets that anybody can use, which are also accessibletoilets, in the hotel foyer and in the Riwaka foyer. The toilet in the Riwaka foyer also has a changingtable for infants.

    2.2 Conference Welcome Reception

    The welcome reception will be held from 6–8 pm on Sunday 3 February in the Riwaka Room andCourtyard. All conference delegates and registered guests are invited.

    2.3 Internet Access

    Wireless internet access is available for all delegates in the conference areas. Select and connect to the“Rutherford Conference Wireless” network. Enter the code “anziam2019” and click Connect to sign into the network.

    2.4 Social Media

    ANZIAM attendees are encouraged to use social media to share ideas from the conference. Theconference Twitter hashtag is #ANZIAM2019 and the ANZIAM account handle is @ANZIAMnews.It’s good practice to include a reference to the presenter and their affiliation, and please seek permissionfrom the presenter before posting a photo of them or their presentation online.

  • ANZIAM 2019 Conference Handbook 10

    2.5 Invited Lectures and Contributed Talks

    All invited lectures will take place in Maitai 2 and are scheduled for 50 minutes, inclusive of questions.

    Contributed talks will be held in parallel sessions in Maitai 2, Waimea, Wairau, Riwaka and Heaphy.The duration of each contributed talk will be 15 minutes with an additional 5 minutes for questionsand room change over.

    All rooms are equipped with a resident laptop. Please upload your presentation in advance of thesession you are speaking in. You can do this via USB stick either at the tech desk in Maitai 2 ordirectly to the resident laptop in the room you are presenting in.

    2.6 Student Evening

    All students are invited to the student evening from 6:30 pm on Monday 4 February. The Eveningprovides a chance to meet fellow students in an informal setting, with dinner provided and drinksavailable for purchase. This event is being organised by the ANZIAM student representative PhillipBrown ([email protected]). Financial support for this event from Te PūnahaMatatini is gratefully acknowledged.

    2.7 Women in Mathematical Sciences Lunch

    The 2019 Women in Mathematical Sciences ANZIAM Lunch will be held on Tuesday 5 February inthe Oceano Restaurant. This event is being held under the umbrella of the Women in MathematicsSpecial Interest Group (WIMSIG) of the Australian Mathematical Society. It is free to all registrantsat ANZIAM 2019 that wish to attend, regardless of gender or membership of WIMSIG. We are gratefulto Prof. Kate Smith-Miles for providing financial support from her Georgina Sweet Australian LaureateFellowship and to Te Pūnaha Matatini for financial support.

    The purpose of the lunch is to support women, and particularly early career researchers, to enterand establish careers in mathematics. Come along and hear about the careers of the ANZIAM 2019female plenary speakers, to discuss issues concerning women in mathematics in Australia and NewZealand, and to network with fellow WIMSIG members and supporters. Check out the WIMSIGwebsite (www.austms.org.au/WIMSIG-QA) for information on/advice from the female plenary speakersat this and past ANZIAM and AustMS conferences.

    Registration for this lunch is required for catering purposes.

    2.8 Tuesday Afternoon

    The Tuesday afternoon of ANZIAM conferences is traditionally set aside for free time. We encourageyou to use this time to explore some of the wonderful attractions in the Nelson region. Please seeconference website for suggested activities and links.

    The ANZIAM AGM will be held on Tuesday 5 February starting at 7:30 pm in Waimea. All ANZIAMmembers are encouraged to attend the AGM.

  • ANZIAM 2019 Conference Handbook 11

    2.9 Conference Dinner

    The Conference Dinner will be held in Maitai 1 on Wednesday 6 February. Pre-dinner drinks will beserved from 6:30 pm in the Riwaka Foyer and Courtyard, for a 7 pm start to the dinner.

    2.10 Alex McNabb Special Session

    There will be a half day Special Session in honour of Alex McNabb DSc, FRSNZ, one of New Zealand’sleading real-world mathematicians. This will take place on Wednesday morning in the Waimea room.

    2.11 Mathematical Biology Special Interest Group Meeting

    The MBSIG meeting will be held in room T309 at the Nelson-Marlborough Institute of Technology,322 Hardy St, Nelson (see map on p8) on Friday 8 Feburary. Note this is a different venue and isabout a 10 minute walk from the Rutherford Hotel. See conference website for NMIT campus mapand meeting programme:http://sms.victoria.ac.nz/Events/ANZIAM2019

    3 Conference Programme

    The program is shown on the following pages. Contributed talks should be no more than 15 minutesand speakers will be provided a warning after 13 minutes. Talks must stop after 15 minutes to allow5 minutes for questions and room changes. Asterisks indicate student talks.

    http://sms.victoria.ac.nz/Events/ANZIAM2019

  • ANZIAM 2019 Conference Handbook 12

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  • ANZIAM 2019 Conference Handbook 13

    Mon

    day

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    nin

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  • ANZIAM 2019 Conference Handbook 15

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    day

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    conti

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  • ANZIAM 2019 Conference Handbook 19

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  • ANZIAM 2019 Conference Handbook 20

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  • ANZIAM 2019 Conference Handbook 21

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  • ANZIAM 2019 Conference Handbook 23

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  • ANZIAM 2019 Conference Handbook 24

    4 Conference Abstracts

    1 Free surface shape due to a line sink in an unconfined, vertical duct containing aporous medium

    Suha Al-AliMurdoch UniversityCo-authors: Graeme Hocking, Duncan Farrow

    Timetable: p. 18

    We consider flow of water in a homogeneous, saturated, porous medium in a vertical column that isconfined horizontally, that has an air-water interface (phreatic surface) at the top and is unconfinedbelow. The withdrawal of water with a free surface through a line sink from a two-dimensional,vertical sand column is considered using a novel spectral method. A hodograph solution with a cuspis computed and compared to the limiting steady state solutions. Unsteady solutions are computedto compare with the steady solutions and to consider the coning of the phreatic surface. A spectralmethod is used to solve both the steady and unsteady versions of the problem. In all cases, the meanlevel of the phreatic surface or interface remains approximately constant. If the flow rate is sufficientlysmall, the surface simply adjusts to the steady state solution, while if it is large enough the middleof the surface pulls down in a narrowing cone at an approximately linear rate until it draws into thesink. In order to determine which steady solution will evolve it is important to know the history. If thestarting conditions are such that they lie above the line given by the hodograph solutions, then thesurface will almost certainly draw down directly into the outlet.

    2 Generalized entropies and the distance between scientific fields

    Eduardo AltmannSchool of Mathematics and Statistics, University of SydneyTimetable: p. 18

    Information theory provides a rigorous framework to compute the similarity between symbolic sequences.This talk will focus on sequences of written text in which the symbols are words. A distinguishingfeature of these sequences is that they are mostly composed by a few words (that appear frequently inthe text) but at the same time most words are rare (e.g., appear only once). This feature is describedmore precisely by Zipf’s law, i.e., a fat-tailed distribution of word frequencies universally observedin different texts and languages. First I will show how Zipf’s law affects the statistical properties ofestimators of entropic-based measures (such as the Jensen-Shannon divergence) and how their slowconvergence with the size of the text motivates the introduction of measures that go beyond the usualShannon entropy. I will then show different applications of these generalized measures, including astudy of the vocabulary change in English throughout the last centuries (based on millions of booksfrom the Google n-gram database) and an investigation of the language of scientific fields in the lastthree decades (abstract of millions of scientific papers indexed by the Web of Science). In particular,will quantify the distance between scientific fields, show how they compare to alternative classifications(e.g., based on citations between papers), and quantify how they evolved in time.

  • ANZIAM 2019 Conference Handbook 25

    3 Using a PDE to dissect the role of Plasmodium translocon of exported proteins duringinfection

    Rosemary AogoInfection Analytics Program, Kirby Institute, UNSW Australia, Kensington NSW 2052, Australia.Co-authors: Jasmin Akter, Deborah Cromer, Miles P. Davenport , Ashraful Haque, David S. Khoury

    Timetable: p. 13

    Malaria parasites infect red blood cells (RBCs). It is believed that successful maturation and replicationdepends u