Book Sections Year : 2020

Rigidity in generalized isothermal fluids

Abstract

We investigate the long-time behavior of solutions to the isothermal Euler equation. By writing the system with a suitable time-dependent scaling we prove that the densities of global solutions display universal dispersion rate and asymptotic profile. This result estends to Korteweg or quantum Navier Stokes equations, as well as generalizations of these equations where the convex pressure law is asymptotically linear near vacuum.
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Dates and versions

hal-03347618 , version 1 (17-09-2021)

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  • HAL Id : hal-03347618 , version 1

Cite

Rémi Carles, Kleber Carrapatoso, Matthieu Hillairet. Rigidity in generalized isothermal fluids. Alberto Bressan; Marta Lewicka; Dehua Wang; Yuxi Zheng. Hyperbolic Problems:Theory, Numerics, Applications, Proceedings of the Seventeenth International Conference on Hyperbolic Problems, 10, AIMS, pp.136-144, 2020, AIMS Series on Applied Mathematics. ⟨hal-03347618⟩
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