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ALMOST PERIODIC SOLUTION OF ONE DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATION 被引量：4

ALMOST PERIODIC SOLUTION OF ONE DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATION
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摘要 This article studies one dimensional viscous Camassa-Holm equation with a periodic boundary condition. The existence of the almost periodic solution is investigated by using the Galerkin method. This article studies one dimensional viscous Camassa-Holm equation with a periodic boundary condition. The existence of the almost periodic solution is investigated by using the Galerkin method.
作者 付一平 郭柏灵
机构地区 School of Mathematical Sciences South China University of Technology Institute of Applied Physics and Computational Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2007年第1期117-124,共8页 数学物理学报（B辑英文版）
基金 Supported by Natural Science Foundation of China (10471047) Natural Science Foundation of Guangdong Province (05300162)
关键词 Viscous Camassa-Holm equation almost periodic solution EXISTENCE Viscous Camassa-Holm equation, almost periodic solution, existence
分类号 O175 [理学—基础数学]
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参考文献12

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  • 5Constantin A. On the cauchy problem for the periodic Camassa-Holm equation. J Diff Eqs, 1997, 141: 218-235.
  • 6Constantin A, Escher J. Well-poeedness, global existence, and blow-up phenomena for a periodic quasilinear hyperbolic equation. Comm Pure Appl Math, 1998, 51:475-504.
  • 7Constantin A. On the blow-up of solutions a periodic shallow water equation. J Nonlinear Sci, 2000, 10: 391-399.
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Acta Mathematica Scientia
2007年 第1期

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