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Some Remarks on Euler Equations with Damping in Multi-Dimensions 被引量：2

Some Remarks on Euler Equations with Damping in Multi-Dimensions
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摘要 We consider the Cauchy problem of Euler equations with damping. Based on the Green function and energy estimates of solutions, we improve the pointwise estimates and obtainL 1 estimate of solutions. We consider the Cauchy problem of Euler equations with damping. Based on the Green function and energy estimates of solutions, we improve the pointwise estimates and obtainL 1 estimate of solutions.
作者 Zhang Gui-zhou, Wang Wei-keSchool of Mathematic and Statistics, Wuhan University, Wuhan 430072, Hubei, China
出处 《Wuhan University Journal of Natural Sciences》 CAS 2003年第02A期331-334,共4页 武汉大学学报（自然科学英文版）
基金 the National Natural Science Foundation of China(1013105)
关键词 Euler equations with damping Green function pointwise estimate Euler equations with damping Green function pointwise estimate
分类号 O175.8 [理学—基础数学]
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同被引文献9

  • 1Cheng He ,Zhouping Xin.On the decayproperties of solutions to non-stationary Navier-Stokes equations in R3[J].Procedings ofthe royal society of edinburg,2001,131(A): 597-619.
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  • 3Wiegner M.Decay of the L ∞ norm of solutions of Navier-Stokes equations inunbounded domain[J].Acta Applicandae Mathmaticas. 1994,37:215-219.
  • 4Beirao H de Veiga. Existence and asymptotic behavior for strong solutions of theNavier-Stokes equations in whole space[J].Indiana Univ. Math.J.1987,30: 149-166.
  • 5Kato T.Strong Lp-solutions of the Navier-Stokes equations in Rn , with applicationto weak solutions[J]. Math.Z.,1984,187: 471-480.
  • 6Miyakawa T.Application of Hardy space techniques to the tine-decay problem forimcompressible Navier-Stokes flows in Rn[J].Funkcialaj Ekvacioj.1998,41:383-434.
  • 7Wiegner M.Decay results for weak solutions of the Navier-Stokes equations inRn[J].J. Lond.Math. Soc.1987, 36:303-313.
  • 8Weike Wang ,Tong Yang. The point-wise estimate of solutions for Euler equationswith damping in multi-dimensions[J].Journal of Diff. Equations,2001,173: 410-450.
  • 9WANGWEIKE,YANGXIONGFENG.POINTWISE ESTIMATES OF SOLUTIONS TO CAUCHY PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS[J].Chinese Annals of Mathematics,Series B,2003,24(4):457-468. 被引量：3

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Wuhan University Journal of Natural Sciences
2003年 第02A期

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