Stefan Problem with Change Density Upon Change of Phase (I)

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1994Publisher:Global Science PressJournal:Journal of Partial Differential Equations, volume 7, pages 330-338 (issn: 1000-940X, eissn: 2079-732X,

Copyright policy )

Authors: Xu, Yuan;

doi: 10.4208/jpde.v7.n4.3

Stefan Problem with Change Density Upon Change of Phase (I)

- Summary
- Subjects
- Metrics

Abstract

Summary: We establish the existence of one-dimensional classical solution of one- phase problem and its continuous dependence. In addition, we prove that if \(\varepsilon\to 0\), the free boundary \(X(t)\) with-draws and the solution converges to the solution of the classical Stefan problem. The two-phase problem will be discussed in a forthcoming paper.

Keywords

continuous dependence, existence, Free boundary problems for PDEs, one-dimensional classical solution, one-phase problem, Stefan problems, phase changes, etc.

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

0

Average

Fields of Science

Fields of Science

Upload OA version

Are you the author of this publication? Upload your Open Access version to Zenodo!

It’s fast and easy, just two clicks!

uploadUpload now