6 papers · 1 filter
Incompressible Euler limit from the Boltzmann equation with Maxwell reflection boundary condition in the half-space
Ning Jiang, Chao Wang, Yulong Wu +1
In this paper, we rigorously justify the incompressible Euler limit of the Boltzmann equation with general Maxwell reflection boundary condition in the half-space. The accommodatio…
Compressible Navier-Stokes system with slip boundary from Boltzmann equations with reflection boundary: derivations and justifications
Ning Jiang, Yulong Wu
This is the first in a series of papers connecting the boundary conditions for the compressible Navier-Stokes system from the Boltzmann equations with the Maxwell reflection bounda…
Boltzmann boundary layer equation with Maxwell reflection boundary condition and applications to fluid limits
Ling-Bing He, Ning Jiang, Yulong Wu
This paper investigates the Knudsen layer equation in half-space, arising from the hydrodynamic limit of the Boltzmann equation to fluid dynamics. We consider the Maxwell reflectio…
Kinetic-fluid boundary layers and acoustic limit for the Boltzmann equation with general Maxwell reflection boundary condition
Ning Jiang, Yulong Wu
We prove the acoustic limit from the Boltzmann equation with hard sphere collisions and the Maxwell reflection boundary condition. Our construction of solutions include the interio…
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…