39 citations · 161 across the 26 of their papers we have counts for
6 papers · 1 filter
Incompressible limit of the Ericksen-Leslie hyperbolic liquid crystal model in compressible flow
Liang Guo, Ning Jiang, Fucai Li +2
Ericksen and Leslie proposed a hydrodynamic model for liquid crystals in the format of conservation laws in the 1960s. Their original model includes inertial and compressibility ef…
Stability of equilibria to the model for non-isothermal electrokinetics
Ning Jiang, Yi-Long Luo, Xu Zhang
Recently, energetic variational approach was employed to derive models for non-isothermal electrokinetics by Liu et. al \cite{Liu-Wu-Liu-CMS2018}. In particular, the Poisson-Nernst…
The zero inertia limit of Ericksen-Leslie's model for liquid crystals
Ning Jiang, Yi-Long Luo
In this paper we study the zero inertia limit that is from the hyperbolic to parabolic Ericksen-Leslie's liquid crystal flow. By introducing an initial layer and constructing an en…
From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law: convergence for classical solutions
Ning Jiang, Yi-Long Luo
For the two-species Vlasov-Maxwell-Boltzmann (VMB) system with the scaling under which the moments of the fluctuations to the global Maxwellians formally converge to the two-fluid…
Small data global regularity for simplified 3-D Ericksen-Leslie's compressible hyperbolic liquid crystal model
Jiaxi Huang, Ning Jiang, Yi-Long Luo +1
In this article, we consider the Ericksen-Leslie's hyperbolic system for compressible liquid crystal model in three spatial dimensions. Global regularity for small and smooth initi…
Global classical solutions to an evolutionary model for magnetoelasticity
Ning Jiang, Hui Liu, Yi-Long Luo
In this paper, we first prove the local-in-time existence of the evolutionary model for magnetoelasticity with finite initial energy by employing the nonlinear iterative approach g…