Stationary Fix-Caginalp equation with non-local term

Takashi Suzuki, Souhei Tasaki

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

We study the Fix-Caginalp equation describing non-isothermal solid-liquid phase transition. First, we formulate a thermally closed stationary state as a nonlinear eigenvalue problem with a non-local term. Then, some results on multiple existence, stability, and bifurcation of the solution are proven.

Original languageEnglish
Pages (from-to)1329-1349
Number of pages21
JournalNonlinear Analysis, Theory, Methods and Applications
Volume71
Issue number3-4
DOIs
Publication statusPublished - 2009 Aug 1

Keywords

  • Dual variation
  • Fix-Caginalp model
  • Non-isothermal phase transition
  • Non-local elliptic problem

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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