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 -