The Lp-Lq decay estimate for the multidimensional compressible flow with free surface in the exterior domain

被引：2

作者：

Shibata, Yoshihiro ^{[1
,2
]}

Zhang, Xin ^{[3
]}

机构：

[1] Waseda Univ, Dept Math, Shinjuku Ku, Ohkubo 3-4-1, Tokyo 1698555, Japan

[2] Univ Pittsburgh, Dept Mech Engn & Mat Sci, Pittsburgh, PA USA

[3] Tongji Univ, Sch Math Sci, 1239 Siping Rd, Shanghai 200092, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 325卷

关键词：

Lame operator; Free boundary condition; Resolvent problem; Decay estimate; NAVIER-STOKES EQUATIONS; GLOBAL EXISTENCE; CRITICAL SPACES; SEMIGROUP; BEHAVIOR;

D O I：

10.1016/j.jde.2022.04.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to develop the general Lp theory for the barotropic compressible Navier-Stokes equations with the free boundary condition in the exterior domain in RN (N >= 3). By the spectral analysis, we obtain the classical Lp-Lq decay estimate for the linearized model problem (with variable coefficients) in view of the partial Lagrangian transformation. (c) 2022 Elsevier Inc. All rights reserved.

引用

页码：150 / 205

页数：56

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