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Global Well-Posedness of the BCL System with Viscosity 被引量：1

Global Well-Posedness of the BCL System with Viscosity
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摘要 The BCL system, a kind of equations governing the motion of the free surface of water waves in R3, is studied. Some results on the global existence, uniqueness and regularity of solutions to such system with small initial data are obtained.
作者 Junqi HU
机构地区 Department of Applied Mathematics
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2009年第2期153-172,共20页 数学年刊（B辑英文版）
基金 Project supported by the Leading Academic Discipline Program and the 211 Project for Shanghai University of Finance and Economics (the 3rd phase)
关键词 Pseudo-differential operator Water waves Global well-posedness L系统 适定性 粘度 运动方程 原始数据 水面波
分类号 O175.29 [理学—基础数学] TP391.41 [自动化与计算机技术—计算机应用技术]
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参考文献18

  • 1Amick, C. J., Regularity and uniqueness of solutions to the Boussinesq system of equations, J. Diff. Eqs., 54, 1983, 231-247.
  • 2Bona, J. L., Chen, M. and Saut, J. C., Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media, I, Derivation and linear theory, J. Nonlinear Sci., 12, 2002, 283-318.
  • 3Bona, J. L., Chen, M. and Saut, J. C., Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media, Ⅱ, The nonlinear theory, Nonlinearity, 17, 2004, 925-952.
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  • 7Hu, J. Q., Decay estimates of solutions to the linearized BCL system with viscosity (in Chinese), Chin. Ann. Math., 29A(2), 2008, 159-178.
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引证文献1

Chinese Annals of Mathematics,Series B
2009年 第2期

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