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arXiv · 2306.13806

The role of convection in the limit shape of the critical front profile for Born-Infeld diffusion models

Maurizio Garrione·Mohamed Jleli·Bessem Samet
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Abstract

In this paper, we deal with models with Born-Infeld 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.

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Maurizio Garrione, Mohamed Jleli, Bessem Samet. 2023-06-23. The role of convection in the limit shape of the critical front profile for Born-Infeld diffusion models. https://arxiv.org/abs/2306.13806

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