27 citations · 39 across the 18 of their papers we have counts for
4 papers · 2 filters
On a parabolic sine-Gordon model
Xinyu Cheng, Dong Li, Chaoyu Quan +1
We consider a parabolic sine-Gordon model with periodic boundary conditions. We prove a fundamental maximum principle which gives a priori uniform control of the solution. In the o…
Global wellposedness for 2D quasilinear wave without Lorentz
Xinyu Cheng, Dong Li, Jiao Xu +1
We consider the two-dimensional quasilinear wave equations with standard null-form type quadratic nonlinearities. We prove global wellposedness without using the Lorentz boost vect…
Uniform boundedness of highest norm for 2D quasilinear wave
Xinyu Cheng, Dong Li, Jiao Xu
We consider the two-dimensional quasilinear wave equations with quadratic nonlinearities. We introduce a new class of null forms and prove uniform boundedness of the highest order…
Equivalent formulations of the oxygen depletion problem, other implicit free boundary value problems, and implications for numerical approximation
Xinyu Cheng, Zhaohui Fu, Brian Wetton
The Oxygen Depletion problem is an implicit free boundary value problem. The dynamics allow topological changes in the free boundary. We show several mathematical formulations of t…