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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 ≥ 2, under the no slip bound...ary condition for the momentum. The L^p 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.続きを見る |
詳細
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| 登録日 | 2009.04.22 |
| 更新日 | 2018.02.20 |