Some Blow-Up Rates of Solutions to Nonlinear Schrödinger Equations With Rotations
In this talk we consider the nonlinear Schr¨odinger equation with rotation iut = −1/2∆u + V (x)u + u|u|p−1 − Ω · Lu and introduce some recent progress of the blow up rate. In the mass super critical and energy subcritical range, for radially symmetric initial data, we give a universal upper bound on the blow up rate. In the mass critical case, assuming some spectral property, we give limiting proﬁles of blow-up solutions. This is a joint work with Nyla Basharat and Shijun Zheng.
Joint Mathematics Meeting (JMM)
Basharat, Nyla, Yi Hu, Shijun Zheng.
"Some Blow-Up Rates of Solutions to Nonlinear Schrödinger Equations With Rotations."
Mathematical Sciences Faculty Presentations.