Nonlinear PDEs: a dynamical systems approach

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Author(s): Schneider, Guido; Uecker, Hannes
Series: Graduate studies in mathematics 182
Publisher: American Mathematical Society
Year: 2017

Language: English
Pages: 593
Tags: Nichtlineare partielle Differentialgleichung;Dynamisches System;Ginzburg-Landau-Gleichung;Differential equations, Nonlinear.;Differential equations, Partial.

Content: Basic ODE dynamicsDissipative dynamicsHamiltonian dynamicsPDEs on an intervalThe Navier-Stokes equationsSome dissipative PDE modelsThree canonical modular equationsReaction-diffusion systemsDynamics of pattern and the GL equationWave packets and the NLS equationLong waves and their modular equationsCenter manifold reduction and spatial dynamicsDiffusive stabilityBibliographyIndexList of symbols.