Global Regularity for 2D Water Waves with Surface Tension

Author:   Alexandru D. Ionescu ,  Fabio Pusateri
Publisher:   American Mathematical Society
ISBN:  

9781470431037


Pages:   119
Publication Date:   30 May 2019
Format:   Paperback
Availability:   In Print   Availability explained
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Global Regularity for 2D Water Waves with Surface Tension


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Overview

The authors consider the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves system), and prove global regularity and modified scattering for suitably small and localized perturbations of a flat interface. An important point of the authors' analysis is to develop a sufficiently robust method (the ``quasilinear I-method'') which allows the authors to deal with strong singularities arising from time resonances in the applications of the normal form method (the so-called ``division problem''). As a result, they are able to consider a suitable class of perturbations with finite energy, but no other momentum conditions. Part of the authors' analysis relies on a new treatment of the Dirichlet-Neumann operator in dimension two which is of independent interest. As a consequence, the results in this paper are self-contained.

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Author:   Alexandru D. Ionescu ,  Fabio Pusateri
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.205kg
ISBN:  

9781470431037


ISBN 10:   1470431033
Pages:   119
Publication Date:   30 May 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Alexandru D. Ionescu, Princeton University, NJ. Fabio Pusateri, Princeton University, NJ.

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