Instability of spherical interfaces in a nonlinear free boundary problem

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Existence and stability of spherically symmetric stationary interfaces in a two-phase boundary problem are studied in RN (N ≥ 2). We show that there exist two such solutions: a large ball and a small one. The linearized eigenvalue problem shows that the large ball is unstable with some fastest growing mode. We specify the mode precisely.

Original languageEnglish
Pages (from-to)747-772
Number of pages26
JournalAdvances in Differential Equations
Volume5
Issue number4-6
Publication statusPublished - 2000
Externally publishedYes

Fingerprint

Phase boundaries
Free Boundary Problem
Ball
Boundary Problem
Eigenvalue Problem
Unstable

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Instability of spherical interfaces in a nonlinear free boundary problem. / Chen, X.; Taniguchi, Masaharu.

In: Advances in Differential Equations, Vol. 5, No. 4-6, 2000, p. 747-772.

Research output: Contribution to journalArticle

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