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math.AP2024
Bifurcation of homogenization and nonhomogenization of the curvature G-equation with shear flows
Hiroyoshi Mitake, Connor Mooney, Hung V. Tran +2
The level-set curvature G-equation, a well-known model in turbulent combustion, has the following form $G_t + \left(1-d\, \mathrm{dvi}\left({\frac{DG}{|DG|}}\right)\right)_+|DG|+V(…
math.AP2024
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…