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2020 | OriginalPaper | Chapter

1. Analysis of Viscous Fluid Flows: An Approach by Evolution Equations

Author : Matthias Hieber

Published in: Mathematical Analysis of the Navier-Stokes Equations

Publisher: Springer International Publishing

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Abstract

This course of lectures discusses various aspects of viscous fluid flows ranging from boundary layers and fluid structure interaction problems over free boundary value problems and liquid crystal flow to the primitive equations of geophysical flows. We will be mainly interested in strong solutions to the underlying equations and choose as mathematical tool for our investigations the theory of evolution equations. The models considered are mainly represented by semi- or quasilinear parabolic equations and from a modern point of view it is hence natural to investigate the underlying equations by means of the maximal L p-regularity approach.

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next chapter Partial Regularity for the 3D Navier–Stokes Equations
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Metadata
Title
Analysis of Viscous Fluid Flows: An Approach by Evolution Equations
Author
Matthias Hieber
Copyright Year
2020
Book
Mathematical Analysis of the Navier-Stokes Equations

Print ISBN: 978-3-030-36225-6

Electronic ISBN: 978-3-030-36226-3

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-36226-3_1

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