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An Introduction to Maximal Regularity for Parabolic Evolution Equations Read chapter Read first chapter

2021 | OriginalPaper | Chapter

On Stability and Bifurcation in Parallel Flows of Compressible Navier-Stokes Equations

Author : Yoshiyuki Kagei

Published in: Nonlinear Partial Differential Equations for Future Applications

Publisher: Springer Singapore

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Abstract

The stability analysis of parallel flows of the compressible Navier-Stokes equations is overviewed. The asymptotic behaviour of solutions is firstly considered for small Reynolds and Mach numbers. An instability result of the plane Poiseuille flow is then given for a certain range of Reynolds and Mach numbers, together with a result of the bifurcation of wave trains from the plane Poiseuille flow.

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previous chapter An Introduction to Maximal Regularity for Parabolic Evolution Equations
next chapter Uniform Regularity for a Compressible Gross-Pitaevskii-Navier-Stokes System
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Metadata
Title
On Stability and Bifurcation in Parallel Flows of Compressible Navier-Stokes Equations
Author
Yoshiyuki Kagei
Copyright Year
2021
Publisher
Springer Singapore
Book
Nonlinear Partial Differential Equations for Future Applications

Print ISBN: 978-981-334-821-9

Electronic ISBN: 978-981-334-822-6

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-981-33-4822-6_2

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