On the existence and asymptotic stability of solutions for unsteady mixing-layer models. (English) Zbl 1283.35145
This paper deals with unsteady turbulence models. The existence of regular solutions is shown, using inverse function theorem, under the assumption that the initial condition is close to the equilibrium. Finally, the nonlinear asymptotic stability of equilibrium solution is established.
Reviewer: V. D. Sharma (Mumbai)
MSC:
| 35Q86 | PDEs in connection with geophysics |
| 37N10 | Dynamical systems in fluid mechanics, oceanography and meteorology |
| 76F40 | Turbulent boundary layers |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 35B35 | Stability in context of PDEs |
Keywords:
oceanic turbulent mixing-layer models; gradient Richardson number; inverse function theoremReferences:
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