Title
On a multiple time-scales perturbation analysis of a Stefan problem with a time-dependent Dirichlet boundary condition
Author
Ihsan, A.F. (TU Delft Mathematical Physics; Institute of Technology Bandung)
van Horssen, W.T. (TU Delft Mathematical Physics) 
Tuwankotta, J.M. (TU Delft Mathematical Physics; Institute of Technology Bandung)
Date
2024
Abstract
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.
Subject
Multiple time-scales
Stefan problem
Time-dependent boundary temperature
To reference this document use:
http://resolver.tudelft.nl/uuid:08269340-4715-4af0-b3c9-4aaed36771ab
DOI
https://doi.org/10.1016/j.nonrwa.2023.103961
Embargo date
2024-01-08
ISSN
1468-1218
Source
Nonlinear Analysis: Real World Applications, 75
Bibliographical note
Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.
Part of collection
Institutional Repository
Document type
journal article
Rights
© 2024 A.F. Ihsan, W.T. van Horssen, J.M. Tuwankotta