Maximal dissipation in hyperbolic equations - how to select physical solutions?

Speaker(s)

Grzegorz Jamróz

Affiliation

IMPAN

Date

Dec. 4, 2014, 12:30 p.m.

Room

room 4060

Seminar

Seminar of Mathematical Physics Equations Group

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We first discuss a natural criterion for selection of unique solutions of hyperbolic PDEs - the so-called maximal dissipation criterion. Then we show how to apply it to the so-called Hunter-Saxton equation, known from the theory of liquid crystals. Our result (joint work with T. Cieslak), based on considerable extension of methods introduced by Dafermos, seems to be a first result, where the criterion has been effectively applied within general class of weak solutions.

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