The Cartesian analytical solutions for the Ndimensional compressible Navier-Stokes equations with density-dependent viscosity  

作　　者：EnGui Fan Zhijun Qiao ManWai Yuen 

机构地区：[1]School of Mathematical Sciences,Shanghai Center for Mathematical Sciences and Key Laboratory of Mathematics for Nonlinear Science,Fudan University,Shanghai 200433,China [2]School of Mathematical and Statistical Science Univerisity of Texas-Rio Geande Valley,Edinburg,TX 78539,United States of America [3]Department of Mathematics and Information Technology,The Education University of Hong Kong,10 Lo Ping Road,Tai Po,New Territories,Hong Kong,China

出　　处：《Communications in Theoretical Physics》2022年第10期43-49,共7页理论物理通讯（英文版）

基　　金：This research is partially supported by the National Science Foundation of China(Grant No.11271079,10671095);RG 11/2015-2016R from the Education University of Hong Kong。

摘　　要：In this paper,we prove the existence of general Cartesian vector solutions u=b(t)+A(t)x for the Ndimensional compressible Navier–Stokes equations with density-dependent viscosity,based on the matrix and curve integration theory.Two exact solutions are obtained by solving the reduced systems.

关 键 词：compressible Navier-Stokes equations with density-dependent viscosity Cartesian solutions symmetric and anti-symmetric matrix quadratic form curve integration 

分 类 号：O175[理学—数学]