On the Cauchy Problem for the nonlinear Schrodinger equation with fractional dissipation

Localisation: Université libanaise, Liban
Type: Groupe de travail équations aux dérivées partielles
Site: UPEC
P1 P19
Date de début:
31/03/2022 - 13:45
Date de fin:
31/03/2022 - 14:45

We consider the Cauchy problem for nonlinear Schrödinger equation with a fractional dissipation term.  According to the order of the fractional dissipation, we prove the global existence or the existence of finite time blowup dynamics with the log-log blow-up speed.