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math.AP2025
On the Boltzmann-Fermi-Dirac Equation for Hard Potential: Global Existence and Uniqueness, Gaussian Lower Bound, and Moment Estimates
Gayoung An, Sungbin Park
In this paper, we study the global existence and uniqueness, Gaussian lower bound, and moment estimates in the spatially homogeneous Boltzmann equation for Fermi-Dirac particles fo…
math.AP2025
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…