54 citations · 54 across the 4 of their papers we have counts for
4 papers
Initial-boundary value problems for Poiseuille flow of nematic liquid crystal via full Ericksen-Leslie model
Geng Chen, Yanbo Hu, Qingtian Zhang
In this paper, we study the initial-boundary value problem for the Poiseuille flow of hyperbolic-parabolic Ericksen-Leslie model of nematic liquid crystals in one space dimension.…
Unique Conservative Solutions to a Variational Wave Equation
Alberto Bressan, Geng Chen, Qingtian Zhang
Relying on the analysis of characteristics, we prove the uniqueness of conservative solutions to the variational wave equation . Given a solution $u(t,x)…
Shock formation in the compressible Euler equations and related systems
Geng Chen, Robin Young, Qingtian Zhang
We prove shock formation results for the compressible Euler equations and related systems of conservation laws in one space dimension, or three dimensions with spherical symmetry.…
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…