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Chenghong Wang
Chenghong Wang

Public Documents 1
Existence of positive solutions and hydrodynamic limit of the steady Boltzmann equati...
Chenghong Wang
Fujun ZHOU

Chenghong Wang

and 2 more

September 25, 2020
This work is devoted to the study of existence of positive solutions and hydrodynamic limit of the steady Boltzmann equation with in-flow boundary condition. The proof is based on a L6– L∞ framework developed by [10] and a refined positivity-preserving scheme in deriving positivity of solutions with in-flow boundary condition and external force. The incompressible Navier–Stokes–Fourier limit with Dirichlet boundary condition is justified for in-flow boundary data as small perturbation of a global Maxwellian.

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