抄録
We consider a nonlinear model equation describing the motion of a vortex filament immersed in an incompressible and inviscid fluid. In the present problem setting, we also take into account the effect of external flow. We prove the unique solvability, locally in time, of an initial value problem posed on the one dimensional torus. The problem describes the motion of a closed vortex filament.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 2413-2425 |
| ページ数 | 13 |
| ジャーナル | Nonlinearity |
| 巻 | 32 |
| 号 | 7 |
| DOI | |
| 出版ステータス | Published - 2019 5月 30 |
ASJC Scopus subject areas
- 統計物理学および非線形物理学
- 数理物理学
- 物理学および天文学（全般）
- 応用数学