TY - JOUR

T1 - Asymptotic behavior of the semigroup associated with the linearized compressible Navier-Stokes equation in an infinite layer

AU - Kagei, Yoshiyuki

PY - 2007/9

Y1 - 2007/9

N2 - Asymptotic behavior of solutions to the linearized compressible Navier-Stokes equation around a given constant state is considered in an infinite layer Rn-1 x (0, a), n ≥ 2, under the no slip boundary condition for the momentum. The LP decay estimates of the associated semigroup are established for all 1 ≤ p ≤ ∞. It is also shown that the time-asymptotic leading part of the semigroup is given by an n -1 dimensional heat semigroup.

AB - Asymptotic behavior of solutions to the linearized compressible Navier-Stokes equation around a given constant state is considered in an infinite layer Rn-1 x (0, a), n ≥ 2, under the no slip boundary condition for the momentum. The LP decay estimates of the associated semigroup are established for all 1 ≤ p ≤ ∞. It is also shown that the time-asymptotic leading part of the semigroup is given by an n -1 dimensional heat semigroup.

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U2 - 10.2977/prims/1201012041

DO - 10.2977/prims/1201012041

M3 - Article

AN - SCOPUS:36648999998

VL - 43

SP - 763

EP - 794

JO - Publications of the Research Institute for Mathematical Sciences

JF - Publications of the Research Institute for Mathematical Sciences

SN - 0034-5318

IS - 3

ER -