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

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-13 DOI:10.1007/s00032-024-00397-6

Maurizio Garrione, Mohamed Jleli, Bessem Samet

引用次数: 0

Abstract

In 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.

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对流在 Born-Infeld 扩散模型临界前沿剖面极限形状中的作用

在本文中，我们讨论了玻恩-因费尔德（或相对论）型扩散和单稳态反应模型，研究了引入对流项对消失扩散临界前沿轮廓极限形状的影响。我们首先提供了临界速度的估计值，然后通过对等效一阶问题的仔细分析，表明不同的对流项可能导致临界轮廓完全锐化或完全正则化，并介绍了一些相关的数值模拟。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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