Abstract

Nous considerons la limite macroscopique d'une chaine d'atomes interagissant de proche en proche par l'equation de Newton. Depuis les travaux de Blanc, Le Bris et Lions, on sait que cette limite est la solution d'une equation des ondes non-lineaire, a la condition que celle-ci demeure suffisamment reguliere. Si les ecarts inter-atomiques demeurent bornes et si le potentiel d'interaction est convexe a derivee convexe, nous demontrons que ce n'est plus le cas lorsque des chocs se produisent. Des simulations numeriques viennent etayer cette etude.

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