Wellposedness and singularities of the water wave equations

Sijue Wu

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arXiv · 1503.00549

Wellposedness and singularities of the water wave equations

Sijue Wu

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Abstract

A class of water wave problems concerns the dynamics of the free interface separating an inviscid, incompressible and irrotational fluid, under the influence of gravity, from a zero-density region. In this note, we present some recent methods and ideas developed concerning the local and global wellposedness of these problems, the focus is on the structural aspect of the equations.

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Sijue Wu. 2015-03-02. Wellposedness and singularities of the water wave equations. https://arxiv.org/abs/1503.00549

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