Influence of nonlinear interactions on the development of instability in hydrodynamic wave systems
- Russian Academy of Sciences, Obukhov Institute of Atmospheric Physics (Russian Federation)
The problem of the development of shear instability in a three-layer medium simulating the flow of a stratified incompressible fluid is considered. The hydrodynamic equations are solved by expanding the Hamiltonian in a small parameter. The equations for three interacting waves, one of which is unstable, have been derived and solved numerically. The three-wave interaction is shown to stabilize the instability. Various regimes of the system’s dynamics, including the stochastic ones dependent on one of the invariants in the problem, can arise in this case. It is pointed out that the instability development scenario considered differs from the previously considered scenario of a different type, where the three-wave interaction does not stabilize the instability. The interaction of wave packets is considered briefly.
- OSTI ID:
- 22617275
- Journal Information:
- Journal of Experimental and Theoretical Physics, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 5 Vol. 122; ISSN JTPHES; ISSN 1063-7761
- Country of Publication:
- United States
- Language:
- English
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