Oscillating Patterns in Some Nonlinear Evolution Equations

My interest in Navier-Stokes equations arose from the wavelet revolution. I was puzzled by (1) a series of talks and preprints by Marie Farge and (2) an intriguing paper by Paul Federbush entitled ‘Navier and Stokes meet the wavelets’. Both Marie Farge and Paul Federbush were convinced that wavelets could play an important role in fluid dynamics.

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