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Collected Papers in Honor of Yoshihiro Shibata
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SYSNO ASEP 0573346 Document Type M - Monograph Chapter R&D Document Type O - Ostatní Title On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations-rigorous justification Author(s) Gao, H. (CN)
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Tang, T. (CN)Source Title Collected Papers in Honor of Yoshihiro Shibata. - Cham : Birkhäuser, 2022 / Ozawa T. - ISBN 978-3-031-19251-7 Pages s. 111-127 Number of pages 17 s. Number of copy 200 Number of pages 394 Language eng - English Country CH - Switzerland Keywords anisotropic Naiver-Stokes equations ; aspect ratio limit ; compressible Primitive Equations ; hydrostatic approximation Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) GA22-01591S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 EID SCOPUS 85161152063 DOI 10.1007/978-3-031-19252-4_6 Annotation In this work, we derive the hydrostatic approximation by taking the small aspect ratio limit to the Navier-Stokes equations. The aspect ratio (the ratio of the depth to horizontal width) is a geometrical constraint in the general large scale geophysical motions meaning that the vertical scale is significantly smaller than horizontal. We derive the versatile relative entropy inequality. Applying the versatile relative entropy inequality we gave the rigorous derivation of the limit from the compressible Navier-Stokes equations to the compressible Primitive Equations. This is the first work where the relative entropy inequality was used for proving hydrostatic approximation-the compressible Primitive Equations. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2024
Number of the records: 1