Prof. Kuan-Hsiang Wang (National Kaohsiung Normal University)
Title
Linearly Coupled Nonlinear Schr¨odinger Equations
Abstract
In this talk, we will undertake a comprehensive study for nonlinear Schr¨odinger equations with linear coupling. The type of problem arises in the study of nonlinear optics. We will address questions related to local and global well-posedness and fintie time blowup. Furthermore, we will address the stability of standing waves.