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《Wuhan University Journal of Natural Sciences》 2017年04期
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L_2 Decay Estimate of BCL Equation

XU Hongmei  YAN Luxiao  
【摘要】:This paper considers linearized BCL system with viscosity which is firstly derived by J. L. Bona, T. Colin and D. Lannes for the study of motion of water waves. L_2 decay estimate is got by means of Fourier analysis and frequency decomposition. This result plays key role in studying the global well-posedness of corresponding nonlinear system.
【作者单位】College
【关键词】L decay estimate linearized BCL system water wave
【基金】:Supported by the National Natural Science Foundation of China(11571092)
【分类号】:O175
【正文快照】:
0 IntroductionThe movement of the free-surface for water wave isalways described by Euler equations.By considering thelong wave approximation in shallow water,Bona,Co-lin and Lannes[1]derived the following system,which isnow called as BCL system.(7)(8)t2

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