Nonlinear PDEs: A Dynamical Systems Approach
About this Title
Guido Schneider, Universität Stuttgart, Stuttgart, Germany and Hannes Uecker, Carl von Ossietzky Universität Oldenburg, Oldenburg, Germany
Publication: Graduate Studies in Mathematics
Publication Year:
2017; Volume 182
ISBNs: 978-1-4704-3613-1 (print); 978-1-4704-4228-6 (online)
DOI: https://doi.org/10.1090/gsm/182
MathSciNet review: MR3702025
MSC: Primary 35-01; Secondary 37Kxx, 37Lxx
Table of Contents
Front/Back Matter
Chapters
- Introduction
- Basic ODE dynamics
- Dissipative dynamics
- Hamiltonian dynamics
- PDEs on an interval
- The Navier-Stokes equations
- Some dissipative PDE models
- Three canonical modular equations
- Reaction-diffusion systems
- Dynamics of pattern and the GL equation
- Wave packets and the NLS equation
- Long waves and their modular equations
- Center manifold reduction and spatial dynamics
- Diffusive stability