Interaction of modulated gravity water waves of finite depth

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:261

Article

Giannoulis, Ioannis¹ 

[1] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

关键词: water wave problem of finite depth;    interaction of waves;    justification of modulation equations;   

DOI  :  10.1016/j.jde.2016.06.011

来源: Elsevier

【 摘 要 】

We consider the capillary-gravity water wave problem of finite depth with a flat bottom of one or two horizontal dimensions. We derive the modulation equations of leading and next-to-leading order in the hyperbolic scaling for three weakly amplitude-modulated plane wave solutions of the linearized problem in the absence of quadratic and cubic resonances. We justify the derived system of macroscopic equations in the case of gravity waves using the stability of the finite depth water wave problem on the time scale O (1/epsilon). (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free