Explicit solution and existence of a limiting amplitude for a problem in the dynamics of a stratified fluid. (English. Russian original) Zbl 0585.76172

Gabov, S. A.

Sov. Math. Dokl. 30, 190-194 (1984); translation from Dokl. Akad. Nauk SSSR 277, 1039-1043 (1984).

Summary: We consider one of the apparently few time-dependent problems in the dynamics of a stratified fluid admitting an explicit closed-form solution. In addition to constructing this solution, we also investigate some questions connected with its behavior at large values of time, and the question of the existence of a limiting amplitude.

MSC:

76V05	Reaction effects in flows
76D10	Boundary-layer theory, separation and reattachment, higher-order effects

Keywords:

plane motions; incompressible stratified fluid; fluid-impermeable,; infinitely thin plate; boundary-value problem; time-dependent problems; closed-form solution; large values of time; existence; limiting amplitude