Pattern formation in a flux limited reaction–diffusion equation of porous media type

A non-linear PDE featuring flux limitation effects together with those of the porous media equation (non-linear Fokker–Planck) is presented in this paper. We analyze the balance of such diverse effects through the study of the existence and qualitative behavior of some admissible patterns, namely tr...

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Veröffentlicht in:	Inventiones mathematicae 2016-10, Vol.206 (1), p.57-108
Hauptverfasser:	Calvo, J., Campos, J., Caselles, V., Sánchez, O., Soler, J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics Porous media Reaction-diffusion equations Shock waves Traveling waves
Online-Zugang:	Volltext
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