Seminario di Equazioni Differenziali e Applicazioni: “Blocking and invasion for reaction-diffusion equations”

Venerdì 22 Settembre 2017, ore 12:30 - Sala Riunioni VII piano - Luca Rossi


Venerdì 22 Settembre 2017 alle ore 12:30 in Sala Riunioni VII piano, Luca Rossi (Università di Padova e CAMS-EHESS, Parigi) terrà un seminario dal titolo “Blocking and invasion for reaction-diffusion equations”.

One of the basic questions addressed in reaction-diffusion models concerns the “invasion” phenomenon: the locally uniform convergence of solutions of the Cauchy problem to a positive steady state. The answer in general depends on the initial datum. Typical classes of initial data considered in the literature are: compactly supported and front-like (such as the Heaviside function). Of course if the invasion property holds for some compactly supported data then it holds true for all large enough front-like data. Is the viceversa true? We present some positive and negative answers to such question in the case of periodic equations. They have been obtained in collaboration with Romain Ducasse (CAMS, Paris).

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