Derivation of the inviscid compressible Primitive Equations

0565900 - MÚ 2024 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA22-01591S
Grant ostatní: AV ČR(CZ) AP2101
Program: Akademická prémie - Praemium Academiae
Institucionální podpora: RVO:67985840
Klíčová slova: Euler equations * inviscid * compressible * Primitive Equations
Obor OECD: Pure mathematics
Impakt faktor: 3.7, rok: 2022
Způsob publikování: Omezený přístup
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.
Trvalý link: https://hdl.handle.net/11104/0337375