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Global spherically symmetric classical solution to the Navier-Stokes-Maxwell system with large initial data and vacuum 被引量:2

Global spherically symmetric classical solution to the Navier-Stokes-Maxwell system with large initial data and vacuum
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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 Ω of R3. 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. 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 Ω of R3. 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.
出处 《Science China Mathematics》 SCIE 2014年第12期2463-2484,共22页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China(Grant No.11331005) the Program for Changjiang Scholars and Innovative Research Team in University(Grant No.IRT13066) the Special Fund for Basic Scientific Research of Central Colleges(Grant No.CCNU12C01001) Excellent Doctorial Dissertation Cultivation Grant from Central Normal University
关键词 麦克斯韦方程组 可压缩NAVIER-STOKES方程 古典解 球对称 真空 系统 初始边界值问题 洛伦兹力 Navier-Stokes-Maxwell system, global classical solution, vacuura
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