Global existence of strong solutions of Navier-Stokes equations with non-Newtonian potential for one-dimensional isentropic compressible fluids

被引：7

作者：

Liu, Hongzhi ^{[1
,2
]}

Yuan, Hongjun ^{[1
]}

Qiao, Jiezeng ^{[2
]}

Li, Fanpei ^{[2
]}

机构：

[1] Jilin Univ, Inst Math, Changchun 130012, Jilin, Peoples R China

[2] Inner Mongolia Finance & Econ Coll, Hohhot 010051, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2012年 / 63卷 / 05期

关键词：

Navier-Stokes equations; Isentropic compressible fluids; Global strong solutions; Vacuum; Non-Newtonian potential; POISSON EQUATIONS; SYSTEM; BEHAVIOR;

D O I：

10.1007/s00033-012-0202-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider strong solutions to the initial boundary value problems for the isentropic compressible Navier-Stokes equations in one dimension: rho{t + (rho u)(x) = 0 in (0, T) x (0, 1) (rho u)(t) + (rho u(2))(x) + rho Phi(x) - (mu(rho)u(x))(x) + P-x = 0 in (0, T) x (0, 1) ((delta(Phi(x))(2) + 1/Phi(x))(2) + delta)(2-p/2) Phi(x))(x) = 4 pi g(rho - 1/vertical bar Omega vertical bar integral(Omega) rho dx) in (0, T) x (0, 1) Here, the Phi is a non-Newtonian potential and strong solutions of the problem and obtains the uniqueness under the compatibility condition.

引用

页码：865 / 878

页数：14

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