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math.AP2026
Optimal convergence rates in periodic homogenization of nonconvex Hamilton--Jacobi equations
Jiwoong Jang, Qi Sun, Hung V. Tran +1
We study the convergence rates in periodic homogenization of general nonconvex, coercive Hamilton--Jacobi equations. We show that the optimal convergence rate is $O(\varepsilon^{1/…
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
Periodic homogenization of geometric equations without perturbed correctors
Jiwoong Jang
Proving homogenization has been a subtle issue for geometric equations due to the discontinuity when the gradient vanishes. A sufficient condition for periodic homogenization using…