On a multiple time-scales perturbation analysis of a Stefan problem with a time-dependent Dirichlet boundary condition

被引：0

作者：

Ihsan, A. F. ^{[1
]}

van Horssen, W. T. ^{[2
]}

Tuwankotta, J. M. ^{[1
]}

机构：

[1] Inst Teknol Bandung, Fac Math & Nat Sci, Anal & Geometry, Bandung, Indonesia

[2] Delft Univ Technol, Inst Appl Math, Delft, Netherlands

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2024年 / 75卷

关键词：

Multiple time-scales; Stefan problem; Time-dependent boundary; temperature; DISSOLUTION; UNIQUENESS; EXISTENCE; MODEL;

D O I：

10.1016/j.nonrwa.2023.103961

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a classical Stefan problem with a prescribed and small time dependent temperature at the boundary is studied. By using a multiple time-scales perturbation method, it is shown analytically how the moving boundary profile is influenced by the prescribed temperature at the boundary and the initial conditions. Only a few exact solutions are available for this type of problems and it turns out that the constructed approximations agree very well with these exact solutions. In particular, approximations of solutions for this type of problems, with periodic and decaying temperatures at the boundary, are constructed. Furthermore, these approximations are valid on a long time scale, and seems to be not available in the literature.& COPY; 2023 Elsevier Ltd. All rights reserved.

引用

页数：18

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