29 apr 2021 -- 16:00   [open in google calendar]

University of Ferrara (on-line)

Abstract.

We deal with wavefront solutions to a scalar parabolic equation in one spatial dimension. The equation consists of a convective term, a reaction term (typically of monostable type) and a vanishing diffusivity. Wavefronts are traveling waves whose profile is globally defined, non-constant and monotone. The main topic of this talk concerns the existence of such solutions, their regularity and related properties. In particular, about the regularity, it is highlighted the behaviour where the diffusivity vanishes. All results are based on joint work with Corli (Ferrara) and Malaguti (Modena and Reggio Emilia).

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