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An Approach to the Primitive Equations for Oceanic and Atmospheric Dynamics by Evolution Equations Read chapter Read first chapter

2020 | OriginalPaper | Chapter

2. Viscous Compressible Flows Under Pressure

Authors : Didier Bresch, Pierre-Emmanuel Jabin

Published in: Fluids Under Pressure

Publisher: Springer International Publishing

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Abstract

This chapter deals with the role of pressure in the theory of viscous compressible flows. The pressure state laws and viscosities are described. Special attention is devoted to non-monotone pressure laws and pressure dependent viscosities. The global existence proofs are discussed for approximate systems. Some relevant physical applications are described, including among others the anelastic Euler equations, shallow water model, granular media, or mixture problems.

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previous chapter An Approach to the Primitive Equations for Oceanic and Atmospheric Dynamics by Evolution Equations
next chapter Global Well-Posedness for Incompressible–Incompressible Two-Phase Problem
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Metadata
Title
Viscous Compressible Flows Under Pressure
Authors
Didier Bresch
Pierre-Emmanuel Jabin
Copyright Year
2020
Book
Fluids Under Pressure

Print ISBN: 978-3-030-39638-1

Electronic ISBN: 978-3-030-39639-8

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-39639-8_2

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