On the problem of singular limit

0579476 - MÚ 2024 RIV CZ eng C - Conference Paper (international conference)
Caggio, Matteo - Ducomet, B. - Nečasová, Šárka - Tang, T.
On the problem of singular limit.
Topical Problems of Fluid Mechanics 2023. Praha: Ústav termomechaniky AV ČR, v. v. i., 2023 - (Šimurda, D.; Bodnár, T.), s. 6-12. ISBN 978-80-87012-83-3. ISSN 2336-5781.
[Topical Problems of Fluid Mechanics 2023. Prague (CZ), 22.02.2023-24.02.2023]
R&D Projects: GA ČR(CZ) GA22-01591S
Institutional support: RVO:67985840
Keywords : compressible Euler equations * dissipative measure-valued solutions * low Mach number * thin domain
OECD category: Pure mathematics
https://doi.org/10.14311/TPFM.2023.002

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.
Permanent Link: https://hdl.handle.net/11104/0348311