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math.AP2024
Homogenization of Hamilton-Jacobi equations with defects leading to stratified problems
Yves Achdou, Le Bris Claude
We study homogenization of a class of bidimensional stationary Hamilton-Jacobi equations where the Hamiltonian is obtained by perturbing near a half-line of the state space a Hamil…
math.AP2024
A variational approach to the stability in the homogenization of some Hamilton-Jacobi equations
Andrea Braides, Gianni Dal Maso, Claude Le Bris
We investigate the stability with respect to homogenization of classes of integrals arising in the control-theoretic interpretation of some Hamilton-Jacobi equations. The prototypi…
math.AP2024
A closure theorem for -convergence and H-convergence with applications to non-periodic homogenization
Andrea Braides, Gianni Dal Maso, Claude Le Bris
In this work we examine the stability of some classes of integrals, and in particular with respect to homogenization. The prototypical case is the homogenization of quadratic energ…