12 citations · 13 across the 3 of their papers we have counts for
5 papers
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…
On one-dimension quasilinear wave equations with null conditions
Dongbing Zha
In this paper, we show that one-dimension systems of quasilinear wave equations with null conditions admit global classical solutions for small initial data. This result extends Lu…
Global Nonlinear Stability of Geodesic Solutions of Evolutionary Faddeev Model
Jianli Liu, Dongbing Zha, Yi Zhou
In this paper, for evolutionary Faddeev model corresponding to maps from the Minkowski space to the unit sphere , we show the global nonlinear stab…
Remarks on a system of quasi-linear wave equations in D satisfying the weak null condition
Kunio Hidano, Dongbing Zha
We give an alternative proof of the global existence result originally due to Hidano and Yokoyama for the Cauchy problem for a system of quasi-linear wave equations in three space…
Lifespan of Classical Solutions to Quasilinear Wave Equations Outside of a Star-Shaped Obstacle in Four Space Dimensions
Dongbing Zha, Yi Zhou
We study the initial-boundary value problem of quasilinear wave equations outside of a star-shaped obstacle in four space dimensions, in which the nonlinear term under consideratio…