Data dependence for the amplitude equation of surface waves
نویسندگان
چکیده
منابع مشابه
Amplitude and Phase Variations of Surface Waves
Lateral heterogeneity of the Earth has begun to be mapped extensively by measurements of phase velocities of surface waves since the installation of global digital network. The methods used in such studies are, however, based on simple ray theory: observed phase delays are assumed to be integrations of slowness along the great circles connecting sources and receivers. On the other hand, wave th...
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Nonlocal generalizations of Burgers’ equation were derived in earlier work by Hunter [Contemp. Math. 1989], and more recently by Benzoni-Gavage and Rosini [Comput. Math. Appl. 2009], as weakly nonlinear amplitude equations for hyperbolic boundary value problems admitting linear surface waves. The local-in-time well-posedness of such equations in Sobolev spaces was proved by Benzoni-Gavage [Diff...
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Among hyperbolic Initial Boundary Value Problems (IBVP), those coming from a variational principle ‘generically’ admit linear surface waves, as was shown by Serre [J. Funct. Anal. 2006]. At the weakly nonlinear level, the behavior of surface waves is expected to be governed by an amplitude equation that can be derived by means of a formal asymptotic expansion. Amplitude equations for weakly non...
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Amplitude equation and pattern selection in Faraday waves.
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ژورنال
عنوان ژورنال: Zeitschrift für angewandte Mathematik und Physik
سال: 2016
ISSN: 0044-2275,1420-9039
DOI: 10.1007/s00033-016-0628-0