The Role of Convection in the Limit Shape of the Critical Front Profile for Born-Infeld Diffusion Models

Author:

Garrione MaurizioORCID,Jleli Mohamed,Samet Bessem

Abstract

AbstractIn this paper, we deal with models with Born-Infeld (or relativistic) type diffusion and monostable reaction, investigating the effect of the introduction of a convection term on the limit shape of the critical front profile for vanishing diffusion. We first provide an estimate of the critical speed and then, through a careful analysis of an equivalent first-order problem, we show that different convection terms may lead either to a complete sharpening of the limit profile or to its complete regularization, presenting some related numerical simulations.

Funder

National Plan for Science, Technology and Innovation

Politecnico di Milano

Publisher

Springer Science and Business Media LLC

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