Singular limit for the compressible Navier-Stokes equations with the hard sphere pressure law on expanding domains

0567597 - MÚ 2024 RIV CH eng J - Journal Article
Kalousek, Martin - Nečasová, Šárka
Singular limit for the compressible Navier-Stokes equations with the hard sphere pressure law on expanding domains.
Journal of Mathematical Fluid Mechanics. Roč. 25, č. 1 (2023), č. článku 17. ISSN 1422-6928. E-ISSN 1422-6952
R&D Projects: GA ČR(CZ) GA22-01591S
Grant - others:AV ČR(CZ) AP2101
Program: Akademická prémie - Praemium Academiae
Institutional support: RVO:67985840
Keywords : compressible Navier-Stokes equations * expanding domain * Hard-sphere pressure * low Mach number limit
OECD category: Pure mathematics
Impact factor: 1.3, year: 2022
Method of publishing: Limited access
https://doi.org/10.1007/s00021-022-00750-y

The article is devoted to the asymptotic limit of the compressible Navier-Stokes system with a pressure obeying a hard–sphere equation of state on a domain expanding to the whole physical space R3. Under the assumptions that acoustic waves generated in the case of ill-prepared data do not reach the boundary of the expanding domain in the given time interval and a certain relation between the Reynolds and Mach numbers and the radius of the expanding domain we prove that the target system is the incompressible Euler system on R3. We also provide an estimate of the rate of convergence expressed in terms of characteristic numbers and the radius of domains.
Permanent Link: https://hdl.handle.net/11104/0338836