Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation
In this talk, we consider the nonlinear Schrödinger equation with rotation (also called Gross-Pitaevskii equations) in two and three dimensions, and give sharp conditions on the global well-posedness and blowup in the mass-critical case. Specifically, this condition is related to the ground state solution. We will also mention the blow up rate if time permits
Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE)
Fort Myers, FL
Hu, Yi, Nyla Basharat, Shijun Zheng.
"Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation."
Mathematical Sciences Faculty Presentations.