39 citations · 161 across the 26 of their papers we have counts for
26 papers
Compressible Navier-Stokes-Landau-Lifshitz-Gilbert system: derivations and well-posedness
Boling Guo, Ning Jiang, Hui Liu +2
In this paper, we first derive the compressible Navier-Stokes/Landau-Lifshitz-Gilbert (NS-LLG) model for magnetoelastic materials via the energetic variational approach (EnVarA). I…
The non-isothermal Maxwell-Stefan asymptotics of the multi-species Boltzmann equations
Xinqiu Chen, Ning Jiang, Yi-Long Luo
We study the convergence from the multi-species Boltzmann equations to the non-isothermal Maxwell-Stefan system. The global-in-time well-posedness of the Maxwell-Stefan system is f…
Knudsen boundary layer equations with incoming boundary condition: full range of cutoff collision kernels and Mach numbers of the far field
Ning Jiang, Yi-Long Luo, Yulong Wu +1
This paper establishes tahe existence and uniqueness of the nonlinear Knudsen layer equation with incoming boundary conditions. It is well-known that the solvability conditions of…
Knudsen boundary layer equations for full ranges of cutoff collision kernels: Maxwell reflection boundary with all accommodation coefficients in [0,1]
Ning Jiang, Yi-Long Luo, Yulong Wu
In this paper, we prove the existence and uniqueness of the Knudsen layer equation imposed on Maxwell reflection boundary condition with full ranges of cutoff collision kernels and…
Pattern formation of a pathway-based diffusion model: linear stability analysis and an asymptotic preserving method
Yaming Zhang, Ning Jiang, Jiangyan Liang +2
We investigate the linear stability analysis of a pathway-based diffusion model (PBDM), which characterizes the dynamics of the engineered Escherichia coli populations [X. Xue and…
On the initial-boundary value problem of two-phase incompressible flows with variable density in smooth bounded domain
Ning Jiang, Yi-Long Luo, Di Ma
In this work, we study the so-called Allen-Cahn-Navier-Stokes equations, a diffuse-interface model for two-phase incompressible flows with different densities. We first prove the l…
From Kinetic Flocking Model of Cucker-Smale Type to Self-Organized Hydrodynamic model
Ning Jiang, Yi-Long Luo, Teng-Fei Zhang
We investigate the hydrodynamic limit problem for a kinetic flocking model. We develop a GCI-based Hilbert expansion method, and establish rigorously the asymptotic regime from the…
Grad-Caflisch pointwise decay estimates revisited
Ning Jiang, Yi-Long Luo, Shaojun Tang
In the influential paper \cite{Caflish-1980-CPAM} which was the starting point of the employment of Hilbert expansion method to the rigorous justifications of the fluid limits of t…
On kinetic and macroscopic models for the stripe formation in engineered bacterial populations
Ning Jiang, Jiangyan Liang, Yi-Long Luo +2
We study the well-posedness of the biological models with AHL-dependent cell mobility on engineered Escherichia coli populations. For the kinetic model proposed by Xue-Xue-Tang rec…
Compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space
Ning Jiang, Yi-Long Luo, Shaojun Tang
In this paper, we prove the compressible Euler limit from the Boltzmann equation with hard sphere collisional kernel and complete diffusive boundary condition in half-space by empl…
Compressible Euler limit from Boltzmann equation with Maxwell reflection boundary condition in half-space
Ning Jiang, Yi-Long Luo, Shaojun Tang
Starting from the local-in-time classical solution to the compressible Euler system with impermeable boundary condition in half-space, by employing the coupled weak viscous layers…
Entropy inequality and energy dissipation of inertial Qian-Sheng model for nematic liquid crystals
Ning Jiang, Yi-Long Luo, Yangjun Ma +1
For the inertial Qian-Sheng model of nematic liquid crystals in the -tensor framework, we illustrate the roles played by the entropy inequality and energy dissipation in the wel…
Hydrodynamic limit of the incompressible Navier-Stokes-Fourier-Maxwell System with Ohm's Law from the Vlasov-Maxwell-Boltzmann system: Hilbert expansion approach
Ning Jiang, Yi-Long Luo, Teng-Fei Zhang
We prove a global-in-time limit from the two-species Vlasov-Maxwell-Boltzmann system to the two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law. Besides th…
From Vlasov-Poisson-Boltzmann system to incompressible Navier-Stokes-Fourier-Poisson system: convergence for classical solutions
Mengmeng Guo, Ning Jiang, Yi-Long Luo
For the one-species Vlasov-Poisson-Boltzmann (VPB) system in the scaling under which the moments of the fluctuations formally converge to the incompressible Navier-Stokes-Fourier-P…
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…
Small data global regularity for 3-D Ericksen-Leslie's hyperbolic liquid crystal model without kinematic transport
Jiaxi Huang, Ning Jiang, Yi-Long Luo +1
In this article, we consider the Ericksen-Leslie's hyperbolic system for incompressible liquid crystal model without kinematic transport in three spatial dimensions, which is a non…
A scaling limit from the wave map to the heat flow into
Ning Jiang, Yi-Long Luo, Shaojun Tang +1
In this paper we study a limit connecting a scaled wave map with the heat flow into the unit sphere . We show quantitatively how that the two equations are connected…
On well-posedness of Ericksen-Leslie's parabolic-hyperbolic liquid crystal model in compressible flow
Ning Jiang, Yi-Long Luo, Shaojun Tang
We study the Ericksen-Leslie's parabolic-hyperbolic liquid crystal model in compressible flow. Inspired by our study for incompressible case \cite{Jiang-Luo-arXiv-2017} and some te…
Coupled Self-Organized Hydrodynamics and Navier-Stokes models: local well-posedness and the limit from the Self-Organized Kinetic-fluid models
Ning Jiang, Yi-Long Luo, Teng-Fei Zhang
A coupled system of self-organized hydrodynamics and Navier-Stokes equations (SOH-NS), which models self-propelled particles in a viscous fluid, was recently derived by Degond et a…