@inproceedings{2e53adcc97df480ab68fcbb2d41ccef6,

title = "About compressible viscous fluid flow in a 2-dimensional exterior domain",

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 tr{\"o}mer [20, 21, 22].",

keywords = "2-dimensional exterior domain, Global in time unique existence theorem, L-L decay estimate, Local energy decay",

author = "Yuko Enomoto and Yoshihiro Shibata",

year = "2012",

doi = "10.1007/978-3-0348-0297-0_17",

language = "English",

isbn = "9783034802963",

series = "Operator Theory: Advances and Applications",

publisher = "Springer International Publishing",

pages = "305--321",

editor = "Wolfgang Arendt and Jussi Behrndt and Volker Mehrmann and Karl-Heinz F{\"o}rster and Ball, {Joseph A.} and Carsten Trunk",

booktitle = "Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations, 2010",

note = "21st International Workshop on Operator Theory and Applications, 2010 ; Conference date: 12-07-2010 Through 16-07-2010",

}