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1. A Maximal Regularity Approach to the Analysis of Some Particulate Flows

  • 2017
  • OriginalPaper
  • Chapter
Published in:
Authors
D. Maity
M. Tucsnak
Published in
Particles in Flows
Publisher
Springer International Publishing

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Abstract

This work presents some recent advances in the mathematical analysis of particulate flows. The main idea we want to emphasize is that, for a variety of fluid models the corresponding coupled systems have a common structure, at least in the linearized case. Within this framework, several model problems are considered and studied in detail. This includes a simple toy model, motion of a piston in a heat conducting gas, motion of a rigid body in a viscous incompressible fluid and motion of a solid in a compressible fluid.

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next chapter Time-Periodic Linearized Navier–Stokes Equations: An Approach Based on Fourier Multipliers
Title
A Maximal Regularity Approach to the Analysis of Some Particulate Flows
Authors
D. Maity
M. Tucsnak
Copyright Year
2017
Book
Particles in Flows

Print ISBN: 978-3-319-60281-3

Electronic ISBN: 978-3-319-60282-0

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-60282-0_1
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