Vacuum problem for 1D compressible Navier-Stokes equations with gravity and general pressure law

被引：3
|
作者：
Wu, Zhigang [2 ]
Zhu, Changjiang [1 ]
机构：
[1] Cent China Normal Univ, Dept Math, Lab Nonlinear Anal, Wuhan 430079, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2009年 / 60卷 / 02期
关键词：
Navier-Stokes equations; vacuum; boundary problem; a priori estimates; DENSITY-DEPENDENT VISCOSITY; DISCONTINUOUS INITIAL DATA; GLOBAL SMOOTH SOLUTIONS; FLOW; CONVERGENCE; COEFFICIENT; BEHAVIOR; WAVES; GASES; STATE;
D O I：
10.1007/s00033-008-6109-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the free boundary problem for the one-dimensional isentropic Navier-Stokes equations with gravity and vacuum for the general pressure P = P(rho). We mainly obtain global existence, the uniqueness and asymptotic behavior of the weak solution. In particular, we get the result of Theorem 4.7, which shows that the time-asymptotic state corresponds to the hydrostatic pressure law.
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页码：246 / 270
页数：25
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