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

0523995 - MÚ 2021 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA19-04243S
Institucionální podpora: RVO:67985840
Klíčová slova: compressible primitive equations * singular limit * low Mach number * weak-strong uniqueness
Obor OECD: Pure mathematics
Impakt faktor: 1.392, rok: 2020
Způsob publikování: 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.
Trvalý link: http://hdl.handle.net/11104/0308309