Nonlinear waves and localized structures.

We consider applications of nonlinear(local)Fourier analysis or wavelet analysis to a number of wave motion problems and turbulence problems (Kuramoto-Sivashinsky equations). We consider variational approach for constructing wavelet-Galerkin representations via reduction from initial complicated problems to a number of standard algebraical problems. As a result we obtained explicit representation for well localized coherent structures.


ZEITLIN M.G. Russian Academy of Sciences, Institute of Problems of Mechanical Engineering, V.O., Bolshoj pr., 61, 199178, St. Petersburg, Russia


GAMM 2000