Modelling and analysis of phase transitions

seminar: Front propagation in the Fisher equation with degenerate diffusion

speaker: Elisabeth Logak (Universite Cergy-Pontoise)

abstract: Degenerate diffusion appears in models for biological invasion to take into account population density pressure. We consider the singular limit of the Fisher equation with degenerate diffusion. We establish that for compactly supported initial data, the speed of the limit interface is the minimal speed of associated travelling waves. We also exhibit exact travelling front solutions to a 2-species competition system with degenerate diffusion.

timetable:
Thu 19 Jan, 16:05 - 16:50, Sala Stemmi
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