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Large time behavior of solutions to the compressible Navier-Stokes equation in an infinite layer

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概要 Large time behavior of solutions to the compressible Navier-Stokes equation around a given constant state is considered in an infinite layer $ R_{n-1}\times(0,a), n quq 2 $, under the no slip boundary... condition for the velocity. The $ L^p $ decay estimates of the solution are established for all $ 1 leq p leq infty $. It is also shown that the time-asymptotic leading part of the solution is given by a function satisfying the $ n-1 $ dimensional heat equation. The proof is given by combining a weighted energy method with time-weight functions and the decay estimates for the associated linearized semigroup.続きを見る

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2007-11 pdf 241 KB 80  

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登録日 2009.04.22
更新日 2018.02.28