About compressible viscous fluid flow in a 2-dimensional exterior domain

Yuko Enomoto, Yoshihiro Shibata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

We report our results [5, 6, 7] concerning a global in time unique existence theorem of strong solutions to the equation describing the motion of compressible viscous fluid flow in a 2-dimensional exterior domain for small initial data and some decay properties of the analytic semigroup associated with Stokes operator of compressible viscous fluid flow in a 2-dimensional exterior domain. Our results are an extension of the works due to Matsumura and Nishida [13] and Kobayashi and Shibata [10] in a 3-dimensional exterior domain to the 2-dimensional case. We also discuss some analytic semigroup approach to the compressible viscous fluid flow in a bounded domain, which was first investigated by G. S trömer [20, 21, 22].

Original languageEnglish
Title of host publicationSpectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations, 2010
EditorsWolfgang Arendt, Jussi Behrndt, Volker Mehrmann, Karl-Heinz Förster, Joseph A. Ball, Carsten Trunk
PublisherSpringer International Publishing
Pages305-321
Number of pages17
ISBN (Print)9783034802963
Publication statusPublished - 2012 Jan 1
Event21st International Workshop on Operator Theory and Applications, 2010 - Berlin, Germany
Duration: 2010 Jul 122010 Jul 16

Publication series

NameOperator Theory: Advances and Applications
Volume221
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Other

Other21st International Workshop on Operator Theory and Applications, 2010
CountryGermany
CityBerlin
Period10/7/1210/7/16

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Keywords

  • 2-dimensional exterior domain
  • Global in time unique existence theorem
  • L-L decay estimate
  • Local energy decay

ASJC Scopus subject areas

  • Analysis

Cite this

Enomoto, Y., & Shibata, Y. (2012). About compressible viscous fluid flow in a 2-dimensional exterior domain. In W. Arendt, J. Behrndt, V. Mehrmann, K-H. Förster, J. A. Ball, & C. Trunk (Eds.), Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations, 2010 (pp. 305-321). (Operator Theory: Advances and Applications; Vol. 221). Springer International Publishing.