Global stability of travelling fronts for a damped wave equation with bistable nonlinearity
نویسندگان
چکیده
منابع مشابه
Global stability of travelling fronts for a damped wave equation with bistable nonlinearity
We consider the damped wave equation αutt +ut = uxx−V ′(u) on the whole real line, where V is a bistable potential. This equation has travelling front solutions of the form u(x, t) = h(x − st) which describe a moving interface between two different steady states of the system, one of which being the global minimum of V . We show that, if the initial data are sufficiently close to the profile of...
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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 2009
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.2091