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math.AP2025★ 1 cited
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…
math.AP2025★ 3 cited
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…
math.AP2025★ 1 cited
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…