Free boundary problem governed by a non-linear diffusion-convection equation with Neumann condition

被引：0

作者：

Briozzo, Adriana C. ^{[1
,2
]}

机构：

[1] Univ Austral, Fac Ciencias Empresariales, Dept Matemat, Paraguay 1950,S2000FZF, Rosario, Argentina

[2] Consejo Nacl Invest Cient & Tecn, Paraguay 1950,S2000FZF, Rosario, Argentina

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 549卷 / 01期

关键词：

Diffusion-convection equation; Free boundary problem; Nonlinear integral equation; Neumann condition; STEFAN PROBLEM; HEAT-EQUATION; FLUX;

D O I：

10.1016/j.jmaa.2025.129461

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a one-dimensional free boundary problem governed by a nonlinear diffusion- convection equation with a Neumann condition at fixed face x = 0, which is variable in time and a like Stefan convective condition on the free boundary. Through successive transformations, an integral representation of the problem is obtained that involves a system of coupled nonlinear integral equations. Existence of the solution is obtained for all times by using fixed point theorems. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：30

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