5 citations · 10 across the 6 of their papers we have counts for
6 papers
Uniqueness of conservative solutions to a one-dimensional general quasilinear wave equation through variational principle
Hong Cai, Geng Chen, Yi Du +1
In this paper, we prove the uniqueness of energy conservative Holder continuous weak solution to a general quasilinear wave equation by the analysis of characteristics. This result…
On the exponential stability of a stratified flow to the 2D IDEAL MHD equations with damping
Yi Du, Wang Yang, Yi Zhou
We study the stability of a type of stratified flows of the two dimensional inviscid incompressible MHD equations with velocity damping. The exponential stability for the perturbat…
The almost global existence to classical solution for a 3-D wave equation of nematic liquid-crystals
Yi Du, Geng Chen, Jianli Liu
In this paper we obtain the wave equation modeling the nematic liquid-crystals in three space dimensions and study the lifespan of classical solution to Cauchy problem. The almost…
A blow-up criterion for 3-D compressible visco-elasticity
Yi Du, Chun Liu, QingTian Zhang
In this paper, we shall prove a blow-up criteria in terms of the upper bound of the density, deformation tensor and the gradient of deformation tensor for 3D compressible visco-ela…
Singularities of solutions to compressible Euler equations with vacuum
Zhen Lei, Yi Du, Qingtian Zhang
Presented are two results on the formation of finite time singularities of solutions to the compressible Euler equations in two and three space dimensions for isentropic, polytropi…
Concerning the Strauss conjecture and almost global existence for nonlinear Dirichlet-wave equations in 4-dimensions
Yi Du, Jason Metcalfe, Christopher D. Sogge +1
We show the obstacle version of the Strauss conjecture holds when the spatial dimension is equal to 4. We also show that an almost global existence theorem of Hörmander for (4+1)-d…