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4 papers
Optimal regularity of the Boltzmann equation in non-convex domains
Gayoung An, Donghyun Lee
Regularity of the Boltzmann equation, particularly in the presence of physical boundary conditions, heavily relies on the geometry of the boundaries. In the case of non-convex doma…
Quantitative pointwise estimates of the cooling process for inelastic Boltzmann equation
Gayoung An, Jin Woo Jang, Donghyun Lee
In this paper, we study the homogeneous inelastic Boltzmann equation for hard spheres. We first prove that the solution is bounded pointwise from above by $C_{f_0}\langle…
The Mixed Convex-Concave effect on the regularity of a Boltzmann solution
Gayoung An, Donghyun Lee
The geometric properties of domains are well-known to be crucial factors influencing the regularity of Boltzmann boundary problems. In the presence of non-convex physical boundarie…
High-velocity tails of the inelastic and the multi-species mixture Boltzmann equations
Gayoung An, Donghyun Lee
We study high-velocity tails of some homogeneous Boltzmann equations on . First, we consider spatially homogeneous inelastic Boltzmann equation with noncuto…