Skip to main content
SpringerLink
Log in

Phase Transitions on the Boundary of a Domain

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

We consider the minimization problem for the energy functional of a two-phase medium concentrated at the boundary of a domain. We study regularization of the functional by means of the area of the boundary of the phase interface under additional conditions on the displacement field. Bibliography: 3 titles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. E. Giusti, Minimal Surfaces and Functions of Bounded Variation, Birkh¨ auser, Basel (1984)

    Google Scholar 

  2. V. G. Osmolovskii, Variational Problem on Phase Transitions in Mechanics of Continuous Media [in Russian], St.-Petersburg State University, St.-Petersburg (2000)

    Google Scholar 

  3. V. S. Mikhailov, “Phase transition problem with special restrictions,;; Probl. Mat. Anal. [in Russian], 23, 30–49(2001)

    Google Scholar 

Download references

Authors
  1. V. S. Mikhailov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mikhailov, V.S. Phase Transitions on the Boundary of a Domain. Journal of Mathematical Sciences 117, 4173–4184 (2003). https://doi.org/10.1023/A:1024816620148

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1024816620148

Keywords

Search

Navigation