### 抄録

When two waves propagating in a one-dimensional medium are locked together as a composite wave, a natural question arises as to whether the new wave is stable. An interesting and novel instability mechanism is exposed here in which a cascade of eigenvalues accumulates at a distinguished point in the unstable half plane. The underlying assumption is that the transition between the two waves occurs at an unstable, homogeneous steady state of the partial differential equations. This causes the individual waves to have an unstable continuous spectrum, but the instability of the full wave cannot be predicted from the configuration of these spectra alone.

元の言語 | 英語 |
---|---|

ページ（範囲） | 70-86 |

ページ数 | 17 |

ジャーナル | Physica D: Nonlinear Phenomena |

巻 | 142 |

発行部数 | 1-2 |

DOI | |

出版物ステータス | 出版済み - 8 1 2000 |

外部発表 | Yes |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics

### これを引用

**The accumulation of eigenvalues in a stability problem.** / Nii, Shunsaku.

研究成果: ジャーナルへの寄稿 › 記事

*Physica D: Nonlinear Phenomena*, 巻. 142, 番号 1-2, pp. 70-86. https://doi.org/10.1016/S0167-2789(00)00061-0

}

TY - JOUR

T1 - The accumulation of eigenvalues in a stability problem

AU - Nii, Shunsaku

PY - 2000/8/1

Y1 - 2000/8/1

N2 - When two waves propagating in a one-dimensional medium are locked together as a composite wave, a natural question arises as to whether the new wave is stable. An interesting and novel instability mechanism is exposed here in which a cascade of eigenvalues accumulates at a distinguished point in the unstable half plane. The underlying assumption is that the transition between the two waves occurs at an unstable, homogeneous steady state of the partial differential equations. This causes the individual waves to have an unstable continuous spectrum, but the instability of the full wave cannot be predicted from the configuration of these spectra alone.

AB - When two waves propagating in a one-dimensional medium are locked together as a composite wave, a natural question arises as to whether the new wave is stable. An interesting and novel instability mechanism is exposed here in which a cascade of eigenvalues accumulates at a distinguished point in the unstable half plane. The underlying assumption is that the transition between the two waves occurs at an unstable, homogeneous steady state of the partial differential equations. This causes the individual waves to have an unstable continuous spectrum, but the instability of the full wave cannot be predicted from the configuration of these spectra alone.

UR - http://www.scopus.com/inward/record.url?scp=0345848729&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0345848729&partnerID=8YFLogxK

U2 - 10.1016/S0167-2789(00)00061-0

DO - 10.1016/S0167-2789(00)00061-0

M3 - Article

VL - 142

SP - 70

EP - 86

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

SN - 0167-2789

IS - 1-2

ER -