2 papers
math.AP2026
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…
math.AP2025
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…