Year: 2012
Type: article
Abstract: We consider systems of ODEs that describe the dynamics of particles. Each particle satisfies a Newton law (including a damping term and an acceleration term) where the force is created by the interactions with other particles and with a periodic potential. The presence of a damping term allows the system to be monotone. Our study takes into account the fact that the particles can be different. After a proper hyperbolic rescaling, we show that solutions of these systems of ODEs converge to solutions of some macroscopic homogenized Hamilton-Jacobi equations.
Authors: N. Forcadel, C. Imbert, R. Monneau
Institutions: Centre National de la Recherche Scientifique, Centre de Recherche en Mathématiques de la Décision, Université Paris Dauphine-PSL, Université Paris-Est Créteil, Laboratoire d’Analyse et de Mathématiques Appliquées, CERMICS, Pôle de recherche et d'enseignement supérieur Université Paris-Est
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: bronze
Funder: Agence Nationale de la Recherche
OpenAlex ID: W2137966233