|本期目录/Table of Contents|

[1]王 伟 伟.带有库仑力可压缩磁流体方程组的衰减估计[J].厦门大学学报(自然科学版),2012,51(5):807.
 WANG Wei wei.Decay Estimates for Compresssible Magnetohydrodynamic Equations with Coulomb Force[J].Journal of Xiamen University(Natural Science),2012,51(5):807.
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《厦门大学学报(自然科学版)》[ISSN:0438-0479/CN:35-1070/N]

卷:
51卷
期数:
2012年第5期
页码:
807
栏目:
研究论文
出版日期:
2012-09-20

文章信息/Info

Title:
Decay Estimates for Compresssible Magnetohydrodynamic Equations with Coulomb Force
作者:
王 伟 伟
厦门大学数学科学学院,福建 厦门 361005)
Author(s):
WANG Weiwei
School of Mathenatical Sciences,Xiamen University,Xiamen 361005,China)
关键词:
纳维尔斯托克斯方程组弱解衰减估计磁流体
Keywords:
NavierStokes equationsweak solutiondecay estimatesmagnetohydrodynamic
分类号:
O 175
文献标志码:
-
摘要:
在假设密度有上界的情况下,对带有库仑力的多维可压缩等熵磁流体方程组构造出了一个李亚谱诺夫能量函数,并证明弱解在L2范数下指数趋于平衡态.
Abstract:
Under the hypothesis that ρ is upper bounded,we construct a Lyapunov functional for the multidimensional isentropic compressible magnetohydrodynamic equations with Coulomb force,and show that the weak solutions decay exponentially to the equilibrium state in L2 norm.

参考文献/References:


[1]Li T,Qin T.Physics and partial differential equations [M].2nd ed.Beijing:Higher Education Press,2005.
[2]Moreau R.Magnetohydrodynamics [M].Berlin:Springer,1990.
[3]Lions P.Mathematical topics in fluid mechanics:compressible models [M].USA:Oxford University Press,1998.
[4]DiPerna R,Lions P L.Ordinary differential equations,transport theory and Sobolev spaces [J].Invent Math,1989,98:511547.
[5]Feireisl E,Novotn′y A.Petzeltov′a H.On the existence of globally defined weak solutions to the NavierStokes equations[J].Journal of Mathematical Fluid Mechanics,2001,3:358392.
[6]Jiang S,Zhang P.On spherically symmetric solutions of the compressible isentropic NavierStokes equations[J].Commun Math Phys,2001,215:559581.
[7]Jiang S,Zhang P.Axisymmetric solutions of the 3D NavierStokesequations for compressible isentropic fluids[J].J Math Pures Appl,2003,82:949973.
[8]Hu X,Wang D.Global existence and largetime behavior of solutions to the threedimensional equations of cmpressible magnetohydrodynamic flows[J].Arch Rational Mech Anal,2010,197:203238.
[9]Feireisl E,Petzeltov′a H.Largetime dehaviour of solutions to the NavierStokes equations of compressible flow[J].Archive for Rational Mechanics and Analysis,1999, 150:7796.
[10]Tan Z,Wang Y.Global existence and largetime behavior of weak solutions to the compressible magnetohydrodynamic equations with Coulomb force[J].Nonlinear Analysis,2009,71:58665884.
[11]Jiang F,Tan Z,Wang H.A note on global existence of weak solutions to the compressible magnetohydrodynamic equations with coulomb force[J].J Math Anal Appl,2011,379:316324.
[12]Fang D,Zi R,Zhang T.Decay estimates for isentropic compressible NavierStokes equations in bounded domain [J].Journal of Mathematical Analysis and Applications,2012,386:939947.
[13]Kobayashi T,Suzuki T.Weak solutions to the NavierStokesPoisson equation[J].Advances in Mathematical Sciences and Applications,2008,18:141168.
[14]Novotny A,Straskraba I.Introduction to the mathematical theory of compressible flow [M].USA:Oxford University Press,2004.
[15]Jiang F,Tan Z.Complete bounded trajectories and attractors for compressible barotropic selfgravitating fluid[J].J Math Anal Appl,2009,351:408427.
[16]Jiang F,Tan Z.On radially symmetric solutions of the compressible isentropic selfgravitating fluid[J].Nonlinear Analysis:TMA,2010,72:34633483.
[17]Abdallah M,Jiang F,Tan T.Decay estimates for isentropio compressible magnetohy drodynamic equatins in bounded domain[J].Acta mathematica scientic,2012,32B(6):408420.

备注/Memo

备注/Memo:
收稿日期:20120427 Email:wei.wei.84@163.com
更新日期/Last Update: 2012-09-20