Geometric Conditions on Free Boundaries

Reiner Schätzte ()
Additional contact information
Reiner Schätzte: der Rheinischen Friedrich-Wilhelms-Universität Bonn, Mathematisches Institut

A chapter in Geometric Analysis and Nonlinear Partial Differential Equations, 2003, pp 201-216 from Springer

Abstract: Summary On free boundaries arising in models for melting and solidification of materials, conditions are often prescribed using geometrical data of the free boundary. In smooth models approximating these free boundary problems, the geometric conditions are replaced by elliptic and parabolic equations. We describe the approximation of mean curvature flow by the Allen- Cahn equation, also with coupling, and of the Stefan problem with Gibbs-Thomson law by the quasi-stationary phase field equations.

Keywords: Free Boundary; Curvature Flow; Geometric Condition; Free Boundary Problem; Stefan Problem (search for similar items in EconPapers)
Date: 2003
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55627-2_13

Ordering information: This item can be ordered from
http://www.springer.com/9783642556272

DOI: 10.1007/978-3-642-55627-2_13

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().