【摘 要】
：
This is joint work with J.Garnier (Paris 7, France), R.Kraenkel (IFT, Brazil) and J.C.Mu(n)oz (Universidad del Valle, Colombia).In previous works we have co
【机 构】
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IMPA,Est.D.Castorina,110,RiodeJaneiro,RJ,22460-320,Brazil
【出 处】
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International Conference Nonlinear Waves-Theory and Applicat
论文部分内容阅读
This is joint work with J.Garnier (Paris 7, France), R.Kraenkel (IFT, Brazil) and J.C.Mu(n)oz (Universidad del Valle, Colombia).In previous works we have considered the propagation of long water waves when the bottom topography is highly disordered, including the case where it is modeled as a random microstructure.Apparent diffusion and waveform inversion, through a time-reversal procedure, were topics of interest [1-8].A very brief overview will be presented.Through numerical multiple scattering experiments it was observed that, even in the presence of a highly disordered microstructure, Nwogus [9] numerical strategy to optimize the depth parameter Zα =-0.53 still plays a crucial role [7].Having in mind an effective KdV equation (i.e.solitary waves), in this talk we present a multiscale, weakly dispersive, weakly nonlinear asymptotic analysis in the presence of a rapidly varying topography.Remarkably the same depth value arises and its exact value is revealed by the theory.
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