1 citations · 1 across the 3 of their papers we have counts for
11 papers
Long-range scattering
Avy Soffer, Gavin Stewart, Xiaoxu Wu
We study the scattering problem for a long range potential, which is time dependent. We prove the existence and completeness of the scattering wave operators, and find some propert…
On The large Time Asymptotics of Klein-Gordon type equations with General Data
Avy Soffer, Xiaoxu Wu
We study the Klein-Gordon equation with general interaction terms, which may be linear or nonlinear, and space-time dependent. We initiate the study of such equations with large (n…
On the Existence of Self-Similar solutions for some Nonlinear Schrödinger equations
Avy Soffer, Xiaoxu Wu
We construct solutions of Schrödinger equations which are asymptotically self-similar solutions as time goes to infinity. Also included are situations with two bubbles. These solu…
Trotterization with Many-body Coulomb Interactions: Convergence for General Initial Conditions and State-Dependent Improvements
Di Fang, Xiaoxu Wu
Efficiently simulating many-body quantum systems with Coulomb interactions is a fundamental question in quantum physics, quantum chemistry, and quantum computing, yet it presents u…
Local-in-Time Existence of solutions to the Gravity Water Wave Kinetic Equation
Yulin Pan, Xiaoxu Wu
In this paper, we study the Cauchy problem for the four-wave kinetic equation describing the weak turbulence of gravity water waves. The mathematical challenges of this analysis st…
On the Trotter Error in Many-body Quantum Dynamics with Coulomb Potentials
Di Fang, Xiaoxu Wu, Avy Soffer
Efficient simulation of many-body quantum systems is central to advances in physics, chemistry, and quantum computing, with a key question being whether the simulation cost scales…