On weak-strong uniqueness and singular limit for the compressible primitive equations

0523995 - MÚ 2021 RIV US eng J - Journal Article
Gao, H. - Nečasová, Šárka - Tang, T.
On weak-strong uniqueness and singular limit for the compressible primitive equations.
Discrete and Continuous Dynamical Systems. Roč. 40, č. 7 (2020), s. 4287-4305. ISSN 1078-0947. E-ISSN 1553-5231
R&D Projects: GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : compressible primitive equations * singular limit * low Mach number * weak-strong uniqueness
OECD category: Pure mathematics
Impact factor: 1.392, year: 2020
Method of publishing: Open access
http://dx.doi.org/10.3934/dcds.2020181

The paper addresses the weak-strong uniqueness property and singular limit for the compressible Primitive Equations (PE). We show that a weak solution coincides with the strong solution emanating from the same initial data. On the other hand, we prove compressible PE will approach to the incompressible inviscid PE equations in the regime of low Mach number and large Reynolds number in the case of well-prepared initial data. To the best of the authors' knowledge, this is the first work to bridge the link between the compressible PE with incompressible inviscid PE.
Permanent Link: http://hdl.handle.net/11104/0308309