We are particularly interested in the low regularity problem: whether one still has existence and uniqueness of solutions even when the initial datum only l
We use a local discontinuous Galerkin method to solve the nonlinear Schr odinger equation.Numerical investigations for bright soliton, dark soliton and rogu
In this talk, we consider a model for the interaction of a gas with photons.In the early work, smooth traveling wave solutions called shock profiles have be
The global existence and structures of solutions to multi-dimensional pressure gradient system has some open problems.In this paper, we construct global cla