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Collected Papers in Honor of Yoshihiro Shibata
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SYSNO ASEP 0573346 Druh ASEP M - Kapitola v monografii Zařazení RIV O - Ostatní Název On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations-rigorous justification Tvůrce(i) Gao, H. (CN)
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Tang, T. (CN)Zdroj.dok. Collected Papers in Honor of Yoshihiro Shibata. - Cham : Birkhäuser, 2022 / Ozawa T. - ISBN 978-3-031-19251-7 Rozsah stran s. 111-127 Poč.str. 17 s. Poč.výt. 200 Poč.str.knihy 394 Jazyk dok. eng - angličtina Země vyd. CH - Švýcarsko Klíč. slova anisotropic Naiver-Stokes equations ; aspect ratio limit ; compressible Primitive Equations ; hydrostatic approximation Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA19-04243S GA ČR - Grantová agentura ČR GA22-01591S GA ČR - Grantová agentura ČR Institucionální podpora MU-W - RVO:67985840 EID SCOPUS 85161152063 DOI 10.1007/978-3-031-19252-4_6 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2024
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