# Nonlinear Waves and Weak Turbulence

FitzmauriceThis book is an outgrowth of the NSF-CBMS conference Nonlinear Waves £3 Weak Turbulence held at Case Western Reserve University in May 1992. The principal speaker at the conference was Professor V. E. Zakharov who delivered a series of ten lectures outlining the historical and ongoing developments in the field. Some twenty other researchers also made presentations and it is their work which makes up the bulk of this text. Professor Zakharovs opening chapter serves as a general introduction to the other papers, which for the most part are concerned with the application of the theory in various fields. While the word turbulence is most often associated with f:l. uid dynamics it is in fact a dominant feature of most systems having a large or infinite number of degrees of freedom. For our purposes we might define turbulence as the chaotic behavior of systems having a large number of degrees of freedom and which are far from thermodynamic equilibrium. Work in field can be broadly divided into two areas: . The theory of the transition from smooth laminar motions to the disordered motions characteristic of turbulence. . Statistical studies of fully developed turbulent systems. In hydrodynamics, work on the transition question dates back to the end of the last century with pioneering contributions by Osborne Reynolds and Lord Rayleigh.

Weak turbulence and collapses in the Majda-McLaughlin ... tion is studied numerically. The system exhibits weak turbulence for weak driving forces, while weak turbulence coexists with strongly nonlinear intermittent collapses when the system is strongly driven. These two types of dynamics can be distin-guished by their energy and particle uxes. The weakly turbulent process can be characterized by

**6.99 MB**DATEIGRÖSSE

**1461267110**ISBN

**Englisch**SPRACHE

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Vladimir Zakharov, publications: waves and … V.E. Zakharov, Turbulence in Hamiltonian systems: in Nonlinear waves and weak turbulence with applications in oceanography and condensed matter physics (Cleveland, OH, …

Nonlinear Waves and Weak Turbulence

Optical turbulence: weak turbulence, condensates and ... Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schr6dinger equation* S. Dyachenko, A.C. Newell, A. Pushkarev and V.E. Zakharov Arizona Center for Mathematical Sciences, The University of Arizona, Tucson, AZ 85721, USA

These solutions spread with time, and this fact answers the “weak turbulence” question for the nonlinear Schrödinger equation with random potentials. We also ... The wave turbulence equation is an effective kinetic equation that describes the dynamics of wave spectra in weakly nonlinear and dispersive media. Such a ...

Mar 27, 2012 ... (H4 in Nazarenko lecture). http://www.slideshare.net/connaughtonc An introduction to (weak) wave turbulence; 7. Mode coupling in nonlinear ... ... waves and plasma particles can be described by perturbative nonlinear kinetic theory known in the plasma physics literature as the weak turbulence theory.