On the cauchy problem for gravity water waves
Web11 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., … Webresults. 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.
On the cauchy problem for gravity water waves
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WebThis 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 … WebCauchy theory for the gravity water waves system with non localized initial data T. Alazard, N. Burq, C. Zuily Abstract. In this article, we develop the local Cauchy theory for …
Web2 de jun. de 2024 · This thesis studies some aspects of the Cauchy problem for the water waves equation. In the first part, we use a paradifferential formulation to prove a blow-up … WebWe show that the gravity water waves system is locally wellposed in weighted Sobolev spaces which allow for interfaces with corners. No symmetry assumptions are required. …
http://talazard.perso.math.cnrs.fr/Memoir-ABZ.pdf WebStrichartz estimates and the Cauchy problem for the gravity water waves equations T. Alazard, N. Burq, C. Zuily. Abstract This 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 initial velocity eld is not necessarily Lipschitz.
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
WebWe are interested in the system of gravity water waves equations without surface tension. Our purpose is to study the optimal regularity thresholds for the initial conditions. In terms … crypto netwerkenhttp://talazard.perso.math.cnrs.fr/Memoir-ABZ.pdf cryptotherapy health advantagesWebOn theCauchy problem for gravity water waves T. Alazard, N. Burq, C. Zuily Abstract. We are interested in the system of gravity water waves equations without surface … cryptothonWebOn the Cauchy problem for gravity water waves ... 29 Mar 2014-Inventiones Mathematicae. Abstract: We are interested in the system of gravity water waves equations without surface tension. Our purpose is to study the optimal regularity thresholds for the initial conditions. cryptothrall 40kWeb4 de dez. de 2012 · Title: On the Cauchy problem for gravity water waves. Authors: Thomas Alazard (DMA), Nicolas Burq (LM-Orsay), Claude Zuily (LM-Orsay) Download PDF Abstract: We are interested in the system of gravity water … crypto nestjsWeb14 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 … crypto never sleepsWebA 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 … crypto networking events