Asymptotic collisions between solid particles in a Burgers–Hopf fluid

Article type: Research Article

Authors: Hillairet, M.

Affiliations: Ecole Normale Supérieure de Lyon, 46 allée d'Italie, F-69634 Lyon cedex 07, France E-mail: [email protected], URL: http://www.umpa.ens-lyon.fr/mhillair/

Abstract: We consider the Burgers–Hopf equation on \[$\mathbb {R}$ outside a finite set of (moving) points coupled with transmission conditions in these points prescribing the dynamics of these points. We address the problem of asymptotic collisions. We give new proof of result in J.L. Vàzquez and E. Zuazua preprint, May 2004, and complementary results.

Keywords: fluid-solid interactions, long-time behavior, lack of collision

Journal: Asymptotic Analysis, vol. 43, no. 4, pp. 323-338, 2005