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.
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页码：150 / 205
页数：56
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