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math.AP2024
Discrete Coagulation-Fragmentation equations with multiplicative coagulation kernel and constant fragmentation kernel
Jiwoong Jang, Hung V. Tran
Here, we study a discrete Coagulation-Fragmentation equation with a multiplicative coagulation kernel and a constant fragmentation kernel, which is critical. We apply the discrete…
math.AP2024★ 1 cited
Quantitative homogenization of state-constraint Hamilton--Jacobi equations on perforated domains and applications
Yuxi Han, Wenjia Jing, Hiroyoshi Mitake +1
We study the periodic homogenization problem of state-constraint Hamilton--Jacobi equations on perforated domains in the convex setting and obtain the optimal convergence rate. We…
math.AP2024
Quenching for axisymmetric hypersurfaces under forced mean curvature flows
Hiroyoshi Mitake, Yusuke Oka, Hung Vinh Tran
Here, we study the motion of axisymmetric hypersurfaces evolved by forced mean curvature flows in the periodic setting. We establish conditions that quenching occ…