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 publicationOperator Theory: Advances and Applications
PublisherSpringer International Publishing
Pages305-321
Number of pages17
Volume221
ISBN (Print)9783034802963
Publication statusPublished - 2012
Externally publishedYes
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)02550156
ISSN (Electronic)22964878

Other

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

Fingerprint

Exterior Domain
Compressible Fluid
Viscous Flow
Viscous Fluid
Fluid Flow
Analytic Semigroup
Stokes Operator
Strong Solution
Existence Theorem
Bounded Domain
Decay
Motion

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 Operator Theory: Advances and Applications (Vol. 221, pp. 305-321). (Operator Theory: Advances and Applications; Vol. 221). Springer International Publishing.

About compressible viscous fluid flow in a 2-dimensional exterior domain. / Enomoto, Yuko; Shibata, Yoshihiro.

Operator Theory: Advances and Applications. Vol. 221 Springer International Publishing, 2012. p. 305-321 (Operator Theory: Advances and Applications; Vol. 221).

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

Enomoto, Y & Shibata, Y 2012, About compressible viscous fluid flow in a 2-dimensional exterior domain. in Operator Theory: Advances and Applications. vol. 221, Operator Theory: Advances and Applications, vol. 221, Springer International Publishing, pp. 305-321, 21st International Workshop on Operator Theory and Applications, 2010, Berlin, Germany, 10/7/12.
Enomoto Y, Shibata Y. About compressible viscous fluid flow in a 2-dimensional exterior domain. In Operator Theory: Advances and Applications. Vol. 221. Springer International Publishing. 2012. p. 305-321. (Operator Theory: Advances and Applications).
Enomoto, Yuko ; Shibata, Yoshihiro. / About compressible viscous fluid flow in a 2-dimensional exterior domain. Operator Theory: Advances and Applications. Vol. 221 Springer International Publishing, 2012. pp. 305-321 (Operator Theory: Advances and Applications).
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