Derivation of the inviscid compressible Primitive Equations

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SYSNO ASEP	0565900
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Derivation of the inviscid compressible Primitive Equations
Author(s)	Tang, T. (CN) Nečasová, Šárka (MU-W)_{RID, SAI, ORCID}
Article number	108534
Source Title	Applied Mathematics Letters. - : Elsevier - ISSN 0893-9659 Roč. 139, May (2023)
Number of pages	8 s.
Language	eng - English
Country	US - United States
Keywords	Euler equations ; inviscid ; compressible ; Primitive Equations
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
R&D Projects	GA22-01591S GA ČR - Czech Science Foundation (CSF)
Method of publishing	Limited access
Institutional support	MU-W - RVO:67985840
UT WOS	000912485700001
EID SCOPUS	85144447723
DOI	10.1016/j.aml.2022.108534
Annotation	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.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2024
Electronic address	https://doi.org/10.1016/j.aml.2022.108534

Number of the records: 1