On the Hydrostatic Approximation of Compressible Anisotropic Navier–Stokes Equations–Rigorous Justification

Hongjun Gao (), Sarka Necasov () and Tong Tang ()
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Hongjun Gao: Nanjing 211189, School of Mathematical Sciences Southeast University
Sarka Necasov: Zitna 25, Institute of Mathematics of the Academy of Sciences of the Czech Republic
Tong Tang: Yangzhou 225002, School of Mathematical Science Yangzhou University

A chapter in Collected Papers in Honor of Yoshihiro Shibata, 2022, pp 111-127 from Springer

Abstract: Abstract In this work, we derive the hydrostatic approximation by taking the small aspect ratio limit to the Navier–Stokes equations.

Keywords: Anisotropic Naiver–Stokes equations; Aspect ratio limit; Hydrostatic approximation; Compressible Primitive Equations (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-19252-4_6

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DOI: 10.1007/978-3-031-19252-4_6

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