期刊文献+

带粘性项的Camassa-Holm方程柯西问题H^1解的衰减估计

Decay eestimate of H^1 solutions for three dimensional viscous Camassa-Holm equations
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摘要 研究了无界区域上的Camassa-Holm方程,利用傅立叶变换,普朗歇尔定理和区间拆分的技巧得到了Camassa-Holm方程柯西问题的解的H1衰减估计。 In this paper, we study the Camassa-Holm equation in whole R^3,the decay estimate of H^1 solutions is established by making use of Fourier transform, Planeherel theorem and dividing integral area.
出处 《佛山科学技术学院学报(自然科学版)》 CAS 2007年第5期6-9,31,共5页 Journal of Foshan University(Natural Science Edition)
基金 广东省自然科学基金资助项目(05300566)
关键词 CAMASSA-HOLM方程 傅立叶变换 普朗歇尔定理 衰减估计 Camassa-Holm equation Fourier transform Plancherel theorem decay estimate
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参考文献4

  • 1CHEN S,FOIAS,DARRYL D,et al.A connection between Camassa-Holm equations and turbulent flows in channels and pipes[J].Phys Flnids,1999 (11):2343-2353. 被引量:1
  • 2CHEN S.FOIAS,DARRYL D,et al.The Camassa-Holm equations as a closure model for turblent channel flow[J].Phys Rev Lett,1998(81):5338-5341. 被引量:1
  • 3CHEN S Y,HOLM D D,MARGOLIN L G,et al.Direct numerical simulationd of theNavier-Stokes alpha model[J].Physica D,1999 (133):66-83. 被引量:1
  • 4CIPIAN Foias,DARRYL D Holm,EDRISS S,et al.The three dimensional viscous Camassa-Holm equations and their relation to the Navier-Stokes equations and turbulence theory[J].Dynam Differential Equations,2002,14(1). 被引量:1

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