6 papers · 1 filter
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…
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…
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…