On the cauchy problem for gravity water waves
http://talazard.perso.math.cnrs.fr/article1.pdf WebThis paper is devoted to the proof of a well-posedness result for the gravity water waves equations, in arbitrary dimension and in fluid domains with general bottoms, when the …
On the cauchy problem for gravity water waves
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WebTHE CAUCHY PROBLEM FOR GRAVITY WATER WAVES THOMAS ALAZARD CNRS & \’ECOLE NORMALE SUP\’ERIEURE 1. INTRODUCTION Consider the incompressible … WebOct 2024 - Aug 20243 years 11 months. Leeds, United Kingdom. This PhD project looked at developing simple mathematical models of internal tide generation and propagation in idealised three-dimensional geometries, building on previous two-dimensional cases. This involved the combination of simplifying assumptions around the fluid motion, density ...
Web21 de mai. de 2024 · Thomas Alazard, Nicolas Burq, and Claude Zuily, Strichartz estimates and the Cauchy problem for the gravity water waves equations, Mem. Amer. Math. Soc. 256 (2024), no. 1229, v+108. MR 3852259 , DOI 10.1090/memo/1229 WebThe purpose of this article is to clarify the Cauchy theory of the gravity water waves equations (without surface tension) as well in terms of regularity indexes for the initial …
WebOn the Cauchy problem for water gravity waves. EN. English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia Türkçe Suomi Latvian Lithuanian česk ... 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 …
WebThe water waves problem : mathematical analysis and asymptotics / David Lannes. pages cm. – (Mathematical surveys and monographs ; volume 188) Includes bibliographical references and index. ISBN 978-0-8218-9470-5 (alk. paper) 1.Water waves–Mathematical models. 2. Hydrodynamics–Mathematical models. I. Title. TC172.L36 2013 551.46 …
Web5 de fev. de 2016 · Lectures on the Theory of Water Waves - February 2016. ... Zuily Strichartz estimates and the Cauchy problem for the gravity water waves equations Preprint 2014, arXiv: 1404.4276 [22] S., Wu Almost global wellposedness of the 2-D full water wave problem Invent. Math, 177 (2009), no. 1, pp. 45-135.Google Scholar sic 7322Webfrom this visionary and provocative study. Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle - Aug 23 2024 The 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 space, small and smooth enough sic 7113Webresults. We discuss three di erent problems, in increasing order of di culty: the 3D gravity water waves, the 2D gravity water waves, and the 3D gravity-capillary water waves. Section 4 contains a brief discussion about the formation of singularities, and few additional references to other interesting topics in the theory. 1.2. sic 7342Web11 de mar. de 2024 · A paradifferential reduction for the gravity-capillary waves system at low regularity and applications. arXiv preprint: arXiv:1508.00326 (2015) de Poyferre, T., … the perfume shop runcornWeb6 de abr. de 2024 · Feb 2024 - Present2 years 2 months. The Continuum collaboration in mathematical physics is an organization formed with the objective of communicating the mathematical aspects of physics to a larger audience. Our mission is to communicate the beauty and the significance of mathematics in understanding the universe around is to a … sic 7319WebThis memoir is devoted to the proof of a well-posedness result for the gravity water waves equations, in arbitrary dimension and in uid domains with general bot-toms, when the … the perfume shop salaryWebA 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 … the perfume shop sales assistant