2 citations · 4 across the 4 of their papers we have counts for
4 papers
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…
Singularity and existence to a wave system of nematic liquid crystals
Geng Chen, Yuxi Zheng
In this paper, we prove the global existence and singularity formation for a wave system from modelling nematic liquid crystals in one space dimension. In our model, although the v…
Smooth solutions and singularity formation for the inhomogeneous nonlinear wave equation
Geng Chen, Robin Young
We study the nonlinear inhomogeneous wave equation in one space dimension: . By constructing some "decoupled" Riccati type equations for smooth solutions,…
Formation of singularity and smooth wave propagation for the non-isentropic compressible Euler equations
Geng Chen
We define compressive and rarefactive waves and give the differential equations describing smooth wave steepening for the compressible Euler equations with a varying entropy profil…