On the cauchy problem for gravity water waves
WebTHE CAUCHY PROBLEM FOR GRAVITY WATER WAVES THOMAS ALAZARD CNRS & \’ECOLE NORMALE SUP\’ERIEURE 1. INTRODUCTION Consider the incompressible … Web16 de jul. de 2024 · Cauchy theory for the water waves system in an analytic framework. Thomas Alazard, Nicolas Burq, Claude Zuily. In this paper we consider the Cauchy problem for gravity water waves, in a domain with a flat bottom and in arbitrary space dimension. We prove that if the data are of size \varepsilon in a space of analytic …
On the cauchy problem for gravity water waves
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WebDOI: 10.1016/J.ANIHPC.2014.10.004 Corpus ID: 119118824; Cauchy theory for the gravity water waves system with non localized initial data @article{Alazard2013CauchyTF, … http://talazard.perso.math.cnrs.fr/Memoir-ABZ.pdf
Web14 de jul. de 2024 · We consider the Cauchy problem for the 2D gravity water wave equation. Recently Wu \\cite{Wu15, Wu18} proved the local well-posedness of the equation in a regime which allows interfaces with angled crests as initial data. In this work we study properties of these singular solutions and prove that the singularities of these solutions … WebThe goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in …
Web16 de abr. de 2014 · Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations. This paper is devoted to the proof of a well-posedness result for the … Web16 de abr. de 2014 · Thomas Alazard, Nicolas Burq, Claude Zuily This paper is devoted to the proof of a well-posedness result for the gravity water waves equations, in arbitrary …
WebOn the Cauchy problem for gravity water waves. EN. English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia Türkçe Suomi Latvian Lithuanian česk ...
Web29 de mar. de 2016 · We study the break-down mechanism of smooth solution for the gravity water-wave equation of infinite depth. It is proved that if the mean curvature κ … desktop icons show blankWebA vector modified Yajima–Oikawa long-wave–short-wave equation is proposed using the zero-curvature presentation. On the basis of the Riccati equations associated with the Lax pair, a method is developed to construct multi-fold classical and generalized Darboux transformations for the vector modified Yajima–Oikawa long-wave–short-wave … desktop icons showing up on wrong monitorhttp://talazard.perso.math.cnrs.fr/Memoir-ABZ.pdf chuck robertson mississippiWebone sees that the hamiltonian is highly supercritical for the water waves equation and hence one cannot use it directly to prove global well-posedness of the Cauchy problem. Given " 0, consider the solutions to the water waves system (3) with initial data satisfying (4). In her breakthrough result [65], Wu proved that the maximal time of ... desktop icons spacing settings in windows 10WebCauchy synonyms, Cauchy pronunciation, Cauchy translation, English dictionary definition of Cauchy. Baron Augustin Louis 1789-1857. French mathematician whose Cours d'analyse introduced modern rigor into calculus. chuck robertson obituaryWebWe study the two-dimensional water waves problem with surface tension in the case when there is a nonzero contact angle between the free surface and the bottom. ... T. Alazard, N. Burq, and C. Zuily, On the Cauchy problem for water gravity waves, Invent. Math., 198 (2014), pp. 71--163. Google Scholar. 3. desktop icons showing tick markWeb4 de dez. de 2012 · On the Cauchy problem for gravity water waves. Thomas Alazard (DMA), Nicolas Burq (LM-Orsay), Claude Zuily (LM-Orsay) We are interested in the … desktop icons shrunk windows 10