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| 概要 |
The resolvent problem of the linearized compressible Navier-Stokes equation around a given constant state is considered in an infinite layer $ R^{n−1} \times (0, a) $, $ n geq 2 $, under the no slip b...oundary condition for the momentum. It is proved that the linearized operator is sectorial in $ W^{1,p} \times L^p $ for $ 1 < p < infty $. The $ L^p $ estimates for the resolvent are established for all $ 1 leq p leq infty $. The estimates for the high frequency part of the resolvent are also derived, which lead to the exponential decay of the corresponding part of the semigroup.続きを見る
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Mendeley出力
