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Waves • Disturbances which travel through space and matter • Carry energy and information • Sometimes need medium to propagate in (mechanical waves, sound), sometimes don’t (EM waves)

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Page 1: Waves Disturbances which travel through space and matter Carry energy and information Sometimes need medium to propagate in (mechanical waves, sound),

Waves

• Disturbances which travel through space and matter

• Carry energy and information• Sometimes need medium to propagate in

(mechanical waves, sound), sometimes don’t (EM waves)

Page 2: Waves Disturbances which travel through space and matter Carry energy and information Sometimes need medium to propagate in (mechanical waves, sound),

MHD waves

Page 3: Waves Disturbances which travel through space and matter Carry energy and information Sometimes need medium to propagate in (mechanical waves, sound),

Adiabatic MHD

Page 4: Waves Disturbances which travel through space and matter Carry energy and information Sometimes need medium to propagate in (mechanical waves, sound),

Linearized MHDAssume equilibrium and small deviations from it:

Then:

Page 5: Waves Disturbances which travel through space and matter Carry energy and information Sometimes need medium to propagate in (mechanical waves, sound),

Linearized MHDTake time derivative of the momentum equation and substitute all other equations into it.

1 equation, 1 unknown!Linearized equation of motion. All studies of MHD waves and instabilities start from this equation.


All waves are traveling disturbances which carry energy from place to place

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