TY - GEN

T1 - About compressible viscous fluid flow in a 2-dimensional exterior domain

AU - Enomoto, Yuko

AU - Shibata, Yoshihiro

N1 - Publisher Copyright:
© 2012 Springer Basel.

PY - 2012

Y1 - 2012

N2 - 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].

AB - 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].

KW - 2-dimensional exterior domain

KW - Global in time unique existence theorem

KW - L-L decay estimate

KW - Local energy decay

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U2 - 10.1007/978-3-0348-0297-0_17

DO - 10.1007/978-3-0348-0297-0_17

M3 - Conference contribution

AN - SCOPUS:84890878502

SN - 9783034802963

T3 - Operator Theory: Advances and Applications

SP - 305

EP - 321

BT - Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations, 2010

A2 - Arendt, Wolfgang

A2 - Behrndt, Jussi

A2 - Mehrmann, Volker

A2 - Förster, Karl-Heinz

A2 - Ball, Joseph A.

A2 - Trunk, Carsten

PB - Springer International Publishing

T2 - 21st International Workshop on Operator Theory and Applications, 2010

Y2 - 12 July 2010 through 16 July 2010

ER -