Spotkanie odbędzie się 19 kwietnia 2024 r., piątek, o godzinie 13:00 w siedzibie Oddziału PAN w Łodzi, przy ulicy Piotrkowskiej 137/139.
Abstract: Several recent papers considered the high-friction limit for systems arising in fluid mechanics. We consider a combined system of Euler, Euler--Korteweg and Euler--Poisson equations with friction and exponential pressure with exponent γ>1. We rigorously derive the scalar diffusive equation as a limit of the Euler like equation using the relative entropy method. The proof is formulated for dissipative measure-valued solutions of the Euler like equation which are known to exist on arbitrary intervals of time.
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