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math.AP2023
Macroscopic estimate of the linear Boltzmann and Landau equations with Specular reflection boundary
Hongxu Chen, Chanwoo Kim
In this short note, we prove an -control of the macroscopic part of the linear Boltzmann and Landau equations. This result is an extension of the test function method of Espos…
math.AP2023
Gradient Decay in the Boltzmann theory of Non-isothermal boundary
Hongxu Chen, Chanwoo Kim
We consider the Boltzmann equation in convex domain with non-isothermal boundary of diffuse reflection. For both unsteady/steady problems, we construct solutions belong to $W^{1,p}…