collaborators

4 papers

math.CA2025

Quantitative homogenization of first-order ODEs

Panrui Ni

This paper investigates the quantitative homogenization of first-order ODEs. For single-scale scalar ODEs, we obtain a sharp convergence rate and characterize the…

math.AP2025

Quantitative homogenization of convex Hamilton-Jacobi equations with -periodic Hamiltonians

Hiroyoshi Mitake, Panrui Ni, Hung V. Tran

Here, we study quantitative homogenization of first-order convex Hamilton-Jacobi equations with -periodic Hamiltonians which typically appear in dislocation dynami…

math.AP2025

Quantitative homogenization of convex Hamilton-Jacobi equations with Neumann type boundary conditions

Hiroyoshi Mitake, Panrui Ni

We study the periodic homogenization for convex Hamilton-Jacobi equations on perforated domains under the Neumann type boundary conditions. We consider two types of conditions, the…

math.AP2024

Rate of convergence for homogenization of nonlinear weakly coupled Hamilton-Jacobi systems

Hiroyoshi Mitake, Panrui Ni

Here, we study the periodic homogenization problem of nonlinear weakly coupled systems of Hamilton-Jacobi equations in the convex setting. We establish a rate of convergence $O(\sq…