Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774262 | Journal of Differential Equations | 2017 | 32 Pages |
Abstract
We study the homogenization of Hamilton-Jacobi equations which arise in front propagation problems in stationary ergodic media. Our results are obtained for fronts moving with possible unbounded velocity. We show, by an example, that the homogenized Hamiltonian, which always exists, may be unbounded. In this context, we show convergence results if we start with a compact initial front. On the other hand, if the media satisfies a finite range of dependence condition, we prove that the effective Hamiltonian is bounded and obtain classical homogenization in this context.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
A. Hajej,