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Oscillatory approximations and maximum entropy principle for the Euler system of gas dynamics

Speaker(s)
Eduard Feireisl
Affiliation
Czech Academy of Sciences, Prague
Language of the talk
English
Date
June 5, 2025, 12:30 p.m.
Room
room 5070
Seminar
Seminar of Mathematical Physics Equations Group

We show that the measure--valued solutions of the Euler system of gas dynamics generated by oscillatory sequences of consistent approximations violate the principle of maximal entropy production formulated by Dafermos. There are numerical results illustrating that solutions obtained by standard numerical methods may be oscillatory and thus do not comply with the Dafermos criterion.