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

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概要 Asymptotic behavior of solutions to the linearized compressible Navier- Stokes equation around a given constant state is considered in an infinite layer $R^{n−1} × (0, a), n geqq 2$, under the no slip... boundary condition for the momentum. The $L^p$ decay estimates of the associated semigroup are established for all $1 leqq p leqq ∞$. It is also shown that the time-asymptotic leading part of the semigroup is given by an $n − 1$ dimensional heat semigroup.続きを見る

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登録日 2009.04.22
更新日 2018.02.20