Derivation of the inviscid compressible Primitive Equations

0565900 - MÚ 2024 RIV US eng J - Journal Article
Tang, T. - Nečasová, Šárka
Derivation of the inviscid compressible Primitive Equations.
Applied Mathematics Letters. Roč. 139, May (2023), č. článku 108534. ISSN 0893-9659. E-ISSN 1873-5452
R&D Projects: GA ČR(CZ) GA22-01591S
Grant - others:AV ČR(CZ) AP2101
Program: Akademická prémie - Praemium Academiae
Institutional support: RVO:67985840
Keywords : Euler equations * inviscid * compressible * Primitive Equations
OECD category: Pure mathematics
Impact factor: 3.7, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.aml.2022.108534

Primitive Equations (PE) are an important model which is widely used in the geophysical research and the mathematical analysis. In the previous results, people derive PE from the Navier–Stokes or the Euler system by an asymptotic analysis or a numerical approximation. Here, we give a rigorous mathematical derivation of inviscid compressible Primitive Equations from the Euler system in a periodic channel, utilizing the relative entropy inequality.
Permanent Link: https://hdl.handle.net/11104/0337375