对流在 Born-Infeld 扩散模型临界前沿剖面极限形状中的作用

IF 1.2 3区数学 Q1 MATHEMATICS

Milan Journal of Mathematics Pub Date : 2024-05-13 DOI:10.1007/s00032-024-00397-6

Maurizio Garrione, Mohamed Jleli, Bessem Samet

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引用次数: 0

摘要

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。

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

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

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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来源期刊

Milan Journal of Mathematics 数学-数学

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Milan Journal of Mathematics (MJM) publishes high quality articles from all areas of Mathematics and the Mathematical Sciences. The authors are invited to submit "articles with background", presenting a problem of current research with its history and its developments, the current state and possible future directions. The presentation should render the article of interest to a wider audience than just specialists. Many of the articles will be "invited contributions" from speakers in the "Seminario Matematico e Fisico di Milano". However, also other authors are welcome to submit articles which are in line with the "Aims and Scope" of the journal.