Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

On the Problem of Singular Limit
Caggio M., Ducomet B., Nečasová Š., Tang T.
Abstract:
We consider the problem of singular limit of the compressible Euler system confined to a straight layer Ωδ = (0, δ)×R², δ > 0. In the regime of low Mach number limit and reduction of dimension the convergence to the strong solution of the 2D incompressible Euler system is shown.
Keywords:
compressible Euler equations, dissipative measure-valued solutions, low Mach number,thin domain

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2023.002

In Proceedings Topical Problems of Fluid Mechanics 2023, Prague, 2023, Edited by David Šimurda and Tomáš Bodnár, pp. 6 ISBN 978-80-87012-83-3 (Print) ISSN 2336-5781 (Print)