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Dynamical systems and probabilistic methods in partial differential equations: 1994 Summer Seminar on Dynamical Systems and Probabilistic Methods for Nonlinear Waves, June 20-July 1, 1994, MSRI, Berkeley, CA/ Percy Deift, C. David Levermore, C. Eugene Wayne, editors.

Contributor(s): Series: Lectures in applied mathematics (American Mathematical Society) ; v. 31.Publication details: Providence, R.I.: American Mathematical Society, c1996.Description: ix, 268 p.: ill.; 26 cmISBN:
  • 0821803689 (alk. paper)
Subject(s): DDC classification:
  • 515.35 D997
Contents:
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Includes bibliographical references.

An introduction to KAM theory / C. Eugene Wayne -- KAM theory in infinite dimensions / Walter Craig -- Global center manifolds and singularly perturbed equations : a brief (and biased) guide to (some of) the literature / Nancy Kopell -- Melnikov analysis for PDE's / David W. McLaughlin and Jalal Shatah -- Integrable Hamiltonian systems / Percy Deift -- The complex Ginzburg-Landau equation as a model problem / C. David Levermore and Marcel Oliver -- Derivation and justification of the complex Ginzburg-Landau equation as a modulation equation / Alexander Mielke and Guido Schneider -- Navier-Stokes equations and incompressible fluid turbulence / Peter Constantin -- Turbulence as a near-equilibrium process / Alexandre J. Chorin -- Homogenization and renormalization : the mathematics of multi-scale random media and turbulent diffusion / Marco Avellaneda .

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