EXISTENCE OF SOLUTIONS TO SYSTEMS OF EQUATIONS MODELLING COMPRESSIBLE FLUID FLOW

被引:0
作者
Denny, Diane L. [1 ]
机构
[1] Texas A&M Univ, Dept Math & Stat, Corpus Christi, TX 78412 USA
关键词
Existence; uniqueness; compressible; fluid; ELLIPTIC EQUATION; UNIQUE SOLUTION;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study a system of nonlinear equations that models the flow of a compressible, inviscid, barotropic fluid. The value of the density is known at a point in the spatial domain and the initial value of the velocity is known. The purpose of this paper is to prove the existence of a unique, classical solution to this system of equations under periodic boundary conditions.
引用
收藏
页数:28
相关论文
共 8 条
[1]  
Abramowitz I., 1965, Handbook of Mathematical Functions
[2]  
Chorin J., 1998, MATH INTRO FLUID MEC
[3]   Existence of a unique solution to a quasilinear elliptic equation [J].
Denny, D. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 380 (02) :653-668
[4]   A unique solution to a nonlinear elliptic equation [J].
Denny, D. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 365 (02) :467-482
[5]  
Denny Diane L., 2007, ELECT J DIFFERENTIAL, V2007, P1
[8]  
Majda A., 1984, Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables