Exotic blow up rates for some critical nonlinear dispersive equations
New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015
Location: MSRI: Simons Auditorium
mass critical models
blow up solutions
quintic g-KdV equation
finite blow-up time
gap theorem for NLS solutions
stable log-log blow-up
35Q53 - KdV-like equations (Korteweg-de Vries) [See also 37K10]
35Q55 - NLS-like equations (nonlinear Schrödinger) [See also 37K10]
37L50 - Noncompact semigroups; dispersive equations; perturbations of Hamiltonian systems
We will review some recent results on the construction of blow up solutions with exotic blow up rate for some critical nonlinear dispersive equations
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