| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9877758 | Physica D: Nonlinear Phenomena | 2005 | 19 Pages |
Abstract
This work addresses existence of traveling waves for systems of conservation laws through an Hamiltonian formalism. A related Hamilton-Jacobi equation is given and studied. Our proofs rely on the construction of a cost functional and require a smallness condition for the dispersion with respect to diffusion. Some numerical applications are also presented, concerning a model phase transition problem.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Fabrice Bethuel, Bruno Despres, Didier Smets,