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. 6ISBN 978-80-87012-83-3 (Print)ISSN 2336-5781 (Print) |