60 citations · 197 across the 33 of their papers we have counts for
4 papers · 1 filter
Global multidimensional shock waves for 2-D and 3-D unsteady potential flow equations
Jun Li, Ingo Witt, Huicheng Yin
Although local existence of multidimensional shock waves has been established in some fundamental references, there are few results on the global existence of those waves except th…
The existence and singularity structure of low regularity solutions of higher-order degenerate hyperbolic equations
Zhuoping Ruan, Ingo Witt, Huicheng Yin
This paper is a continuation of our previous work [21], where we have established that, for the second-order degenerate hyperbolic equation (\p_t^2-t^mΔ_x)u=f(t,x,u), locally bound…
Blowup of smooth solutions for general 2-D quasilinear wave equations with small initial data
Bingbing Ding, Ingo Witt, Huicheng Yin
For the 2-D quasilinear wave equation with coefficients independent of the solution , a blowup result for small da…
Blowup of classical solutions for a class of 3-D quasilinear wave equations with small initial data
Bingbing Ding, Ingo Witt, Huicheng Yin
This paper is concerned with the small smooth data problem for the 3-D nonlinear wave equation $\partial_t^2u-\left (1+u+\p_t u\right)Δu=0$. This equation is prototypical of the mo…