Instability of spherical interfaces in a nonlinear free boundary problem

X. Chen; M. Taniguchi

Instability of spherical interfaces in a nonlinear free boundary problem

Research output: Contribution to journal › Article › peer-review

Abstract

Existence and stability of spherically symmetric stationary interfaces in a two-phase boundary problem are studied in R^N (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 language	English
Pages (from-to)	747-772
Number of pages	26
Journal	Advances in Differential Equations
Volume	5
Issue number	4-6
Publication status	Published - 2000
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

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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.",

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AU - Taniguchi, M.

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AB - 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.

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Instability of spherical interfaces in a nonlinear free boundary problem

Abstract

ASJC Scopus subject areas

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