On global solutions of water wave models
New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015
Location: MSRI: Simons Auditorium
regularity of initial data
localized initial data
capillary water waves
gravity-capillary water waves
76B03 - Existence, uniqueness, and regularity theory [See also 35Q35]
76B15 - Water waves, gravity waves; dispersion and scattering, nonlinear interaction [See also 35Q30]
35B30 - Dependence of solutions on initial and boundary data, parameters [See also 37Cxx]
I will discuss some recent work, joint with Yu Deng, Benoit Pausader, and Fabio Pusateri, on the construction of global solutions of several water wave models. Our work concerns mainly the gravity-capillary model in 3D. I will also discuss the more general two-fluid interface problem
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