Equations of Langmuir turbulence and nonlinear Schrödinger equation: Smoothness and approximation. (English) Zbl 0655.76044

The authors investigate a system of coupled equations describing Langmuir turbulence. The behaviour of the system is first studied in a weak convergence limit for the case, where initial data are sufficiently small. A strong convergence result is obtained in three dimensions for regular initial data. The convergence results contain solutions of the nonlinear Schrödinger equation. Finally, good principal parts of the system are analyzed.
Reviewer: J.Spicker


76F99 Turbulence
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
35Q99 Partial differential equations of mathematical physics and other areas of application
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