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math.AP2020★ 2 cited
Asymptotic Analysis of Boltzmann Equation in Bounded Domains
Lei Wu, Zhimeng Ouyang
Consider 3D Boltzmann equation in convex domains with diffusive-reflection boundary condition. We study the hydrodynamic limits as the Knudsen number and Strouhal number $ε\rightar…
math.AP2020★ 2 cited
Parabolic and elliptic equations with singular or degenerate coefficients: the Dirichlet problem
Hongjie Dong, Tuoc Phan
We consider the Dirichlet problem for a class of elliptic and parabolic equations in the upper-half space , where the coefficients are the product of $x_d^α, α\in (…