弱长程扩散

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Studies in Applied Mathematics Pub Date : 2024-08-28 DOI:10.1111/sapm.12759

R. S. Garvey, A. C. Fowler

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引用次数: 0

摘要

我们研究了非线性扩散方程在远场扩散率较小时的扩散解。我们使用应变坐标法对未扰动问题的相似解进行了均匀渐近修正。该方程为流体射流和羽流的类似模型提供了可能的类比。

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Weak long-range diffusion

We study the spreading solutions of the nonlinear diffusion equation $c_{t} = {[(ν + c) c_{x}]}_{x}$ when the far-field diffusivity $ν$ is small. The method of strained coordinates is used to construct a uniform asymptotic correction to the similarity solution of the unperturbed problem. The equation provides a possible analogue to similar models of fluid jets and plumes.

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来源期刊

Studies in Applied Mathematics 数学-应用数学

CiteScore

4.30

自引率

3.70%

发文量

审稿时长

>12 weeks

期刊介绍： Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.