Spreading speed and profile for nonlinear Stefan problems in high space dimensions
نویسندگان
چکیده
منابع مشابه
Spreading Speed and Profile for Nonlinear Stefan Problems in High Space Dimensions
We consider nonlinear diffusion problems of the form ut = ∆u + f(u) with Stefan type free boundary conditions, where the nonlinear term f(u) is of monostable, bistable or combustion type. Such problems arise as an alternative model (to the corresponding Cauchy problem) to describe the spreading of a biological or chemical species, where the free boundary represents the expanding front. We are i...
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We study nonlinear diffusion problems of the form ut = uxx+f(u) with free boundaries. Such problems may be used to describe the spreading of a biological or chemical species, with the free boundaries representing the expanding fronts. For monostable, bistable and combustion types of nonlinearities, Du and Lou [7] obtained rather complete description of the long-time dynamical behavior of the pr...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2015
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2014.07.008