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The dynamics of modulated wave trains
About this Title
Arjen Doelman, Björn Sandstede, Arnd Scheel and Guido Schneider
Publication: Memoirs of the American Mathematical Society
Publication Year:
2009; Volume 199, Number 934
ISBNs: 978-0-8218-4293-5 (print); 978-1-4704-0540-3 (online)
DOI: https://doi.org/10.1090/memo/0934
MathSciNet review: 2507940
MSC: Primary 35K57; Secondary 35A35, 35Q53
Table of Contents
Chapters
- Chapter 1. Introduction
- Chapter 2. The Burgers equation
- Chapter 3. The complex cubic Ginzburg-Landau equation
- Chapter 4. Reaction-diffusion equations: Set-up and results
- Chapter 5. Validity of the Burgers equation in reaction-diffusion equations
- Chapter 6. Validity of the inviscid Burgers equation in reaction-diffusion systems
- Chapter 7. Modulations of wave trains near sideband instabilities
- Chapter 8. Existence and stability of weak shocks
- Chapter 9. Existence of shocks in the long-wavelength limit
- Chapter 10. Applications