## ＜プレプリント＞Large time behavior of solutions to the compressible Navier-Stokes equation in an infinite layer

作成者 著者識別子 作成者名 所属機関 所属機関名 Faculty of Mathematics, Kyushu University 九州大学大学院数理学研究院 英語 Faculty of Mathematics, Kyushu University 九州大学大学院数理学研究院 2007-03-20 Author's Original open access Kyushu University Preprint Series in Mathematics ; 2007-11 MHF Preprint Series || 2007-11 || p1-33 http://www.math.kyushu-u.ac.jp/gakufu/ 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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レコードID 4025 査読無 Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality 九州大学21世紀COEプログラム「機能数理学の構築と展開」 2009.04.22 2018.02.28