A class of moving boundary problems with an exponential source term

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-04-29 DOI:10.1016/j.nonrwa.2025.104390

Julieta Bollati , Ernesto A. Borrego Rodriguez , Adriana C. Briozzo , Colin Rogers

引用次数: 0

Abstract

This work investigates a class of moving boundary problems related to a nonlinear evolution equation featuring an exponential source term. We establish a connection to Stefan-type problems, for different boundary conditions at the fixed face, through the application of a reciprocal transformation alongside the Cole–Hopf transformation. For specific cases, we derive explicit similarity solutions in parametric form. This innovative approach enhances our understanding of the underlying dynamics and offers valuable insights into the behavior of these systems.

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一类具有指数源项的移动边界问题

本文研究了一类具有指数源项的非线性演化方程的移动边界问题。对于固定面上的不同边界条件，我们通过与Cole-Hopf变换的互易变换的应用，建立了与stefan型问题的联系。对于特殊情况，我们导出了参数形式的显式相似解。这种创新的方法增强了我们对潜在动力学的理解，并为这些系统的行为提供了有价值的见解。

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

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.