On the vibrations of a two-sided disc in a stratified fluid. (English. Russian original) Zbl 0721.76092

Pletner, Yu. D.

U.S.S.R. Comput. Math. Math. Phys. 30, No. 1, 203-212 (1990); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 2, 278-290 (1990).

Summary: The problem of the vibrations of a planar two-sided disc in a stratified fluid is considered. An explicit solution of the problem being studied is constructed and, on the basis of this solution, a number of questions associated with the behaviour of the solution at long times and, in particular, the question of the existence of a stationary vibrational regime is investigated.

MSC:

76V05	Reaction effects in flows
70J99	Linear vibration theory

Keywords:

vibrations; planar two-sided disc; stratified fluid; explicit solution