### 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 |

### Fingerprint

### ASJC Scopus subject areas

- Analysis
- Applied Mathematics

### Cite this

*Advances in Differential Equations*,

*5*(4-6), 747-772.

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

Research output: Contribution to journal › Article

*Advances in Differential Equations*, vol. 5, no. 4-6, pp. 747-772.

}

TY - JOUR

T1 - Instability of spherical interfaces in a nonlinear free boundary problem

AU - Chen, X.

AU - Taniguchi, Masaharu

PY - 2000

Y1 - 2000

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=22544466814&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=22544466814&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:22544466814

VL - 5

SP - 747

EP - 772

JO - Advances in Differential Equations

JF - Advances in Differential Equations

SN - 1079-9389

IS - 4-6

ER -