Global spherically symmetric classical solution to the Navier-Stokes-Maxwell system with large initial data and vacuum

被引：9

作者：

Hong GuangYi ^{[1
]}

Hou XiaoFeng ^{[1
]}

Peng HongYun ^{[1
]}

Zhu ChangJiang ^{[1
]}

机构：

[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2014年 / 57卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes-Maxwell system; global classical solution; vacuum; DENSITY-DEPENDENT VISCOSITY; BOUNDARY-VALUE-PROBLEMS; POISSON EQUATIONS; TIME BEHAVIOR; EXISTENCE; MOTION; FLOWS;

D O I：

10.1007/s11425-014-4896-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the initial boundary value problem to the system of the compressible Navier-Stokes equations coupled with the Maxwell equations through the Lorentz force in a bounded annulus Omega of R-3. And a result on the existence and uniqueness of global spherically symmetric classical solutions is obtained. Here the initial data could be large and initial vacuum is allowed.

引用

页码：2463 / 2484

页数：22

共 30 条

[1]

BOURGUIGNON J. P., 1931, J. Funct. Anal., V15, P341, DOI [10.1016/0022-1236(74)90027-5, DOI 10.1016/0022-1236(74)90027-5]

[2] Unique solvability of the initial boundary value problems for compressible viscous fluids [J].

Cho, Y ;

Choe, HJ ;

Kim, H .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2004, 83 (02) :243-275

[3] On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities [J].

Cho, YG ;

Kim, H .

MANUSCRIPTA MATHEMATICA, 2006, 120 (01) :91-129

[4] Global existence of the radially symmetric solutions of the Navier-Stokes equations for the isentropic compressible fluids [J].

Choe, HJ ;

Kim, HS .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2005, 28 (01) :1-28

[5] LONG-TIME BEHAVIOR FOR ONE-DIMENSIONAL MOTION OF A GENERAL BAROTROPIC VISCOUS-FLUID [J].

DAVEIGA, HB .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1989, 108 (02) :141-160

[6] GLOBAL SPHERICALLY SYMMETRIC CLASSICAL SOLUTION TO COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH LARGE INITIAL DATA AND VACUUM [J].

Ding, Shijin ;

Wen, Huanyao ;

Yao, Lei ;

Zhu, Changjiang .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 44 (02) :1257-1278

[7] Global classical large solutions to 1D compressible Navier-Stokes equations with density-dependent viscosity and vacuum [J].

Ding, Shijin ;

Wen, Huanyao ;

Zhu, Changjiang .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (06) :1696-1725

[8] GREEN'S FUNCTION AND LARGE TIME BEHAVIOR OF THE NAVIER-STOKES-MAXWELL SYSTEM [J].

Duan, Renjun .

ANALYSIS AND APPLICATIONS, 2012, 10 (02) :133-197

[9]

Fan JS, 2009, OSAKA J MATH, V46, P863

[10]

Galdi GP., 1994, An Introduction to the Mathematical Theory of the Navier-Stokes Equations

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