###
第15回非線形力学とその周辺セミナーのご案内

(Seminar on nonlinear mechanics)

Date: 6th November, 1997, from 1:00pm

日時： 平成９年11月6日（木）午後１時より

Place: Room No.215 of building No.6 (lecture room)

場所： 数理工学教室第１講義室（工学部６号館２階215号室）

講演者： A.D.D.Craik（京都大学招へい外国人学者）

Title :The stability of three-dimensional time-periodic flows with uniform strain rates

Summary:

The stability of unbounded flows with uniform strain-rates can be analysed exactly in several cases. Here, previous work is reviewed and some new work of Forster & Craik is described.

1. Steady flows with uniform strain rates.

2. The linear stability problem.

3. The 'elliptic instability' of Bayly and of Craik & Criminale (1986).

4. Time-periodic axisymmetric flow with vorticity (Craik & Allen,1992).

5. Quasi-periodic potentials for non-axisymmetric flows: the approach of Bayly, Holm & Lifshitz (1996) for Kida vortex flows.

6. Three-dimensional time-periodic non-axisymmetric flows of Forster & Craik: stability results.

7. Interpretation and comment.