Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations is popular PDF and ePub book, written by T. Alazard in 2019-01-08, it is a fantastic choice for those who relish reading online the Cauchy problem genre. Let's immerse ourselves in this engaging Cauchy problem book by exploring the summary and details provided below. Remember, Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations can be Read Online from any device for your convenience.
Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations Book PDF Summary
This memoir 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 initial velocity field is not necessarily Lipschitz. Moreover, for two-dimensional waves, the authors consider solutions such that the curvature of the initial free surface does not belong to L2. The proof is entirely based on the Eulerian formulation of the water waves equations, using microlocal analysis to obtain sharp Sobolev and Hölder estimates. The authors first prove tame estimates in Sobolev spaces depending linearly on Hölder norms and then use the dispersive properties of the water-waves system, namely Strichartz estimates, to control these Hölder norms.
Detail Book of Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations PDF
- Author : T. Alazard
- Release : 08 January 2019
- Publisher : American Mathematical Soc.
- ISBN : 9781470432034
- Genre : Cauchy problem
- Total Page : 108 pages
- Language : English
- PDF File Size : 9,8 Mb
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