KP-II in 2 and 3d
New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015
Location: MSRI: Simons Auditorium
Korteweg-de Vries equation
Existence of scattering solutions
76B15 - Water waves, gravity waves; dispersion and scattering, nonlinear interaction [See also 35Q30]
76B03 - Existence, uniqueness, and regularity theory [See also 35Q35]
35Q53 - KdV-like equations (Korteweg-de Vries) [See also 37K10]
37K10 - Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)
37K05 - Hamiltonian structures, symmetries, variational principles, conservation laws
In the talk I will explain global wellposedness and scattering results for dispersive equations with quadratic nonlinearities. The Kadomtsev-Petviashvili II equation in 3d requires additional decompositions, related function spaces and refined bilinear estimates.
Please report video problems to email@example.com.
See more of our Streaming videos on our main VMath Videos page.