Chapter 18 - Stability of Travelling Waves

By Bjorn Sandstede. 2002

348 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f08cc3bea9e76c97d14732fa3509743d3f48cdbb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. Arnd Scheel
2. Peter Szmolyan
3. Heinrich Freistühler
4. Bjorn Sandstede
5. John Mallet-Paret
6. Arjen Doelman
7. V. D. Ploeg

In Statistical and Nonlinear Physics

1. Arnd Scheel
2. Bjorn Sandstede
3. Peter Szmolyan
4. Heinrich Freistühler
5. Martin Krupa
6. Martin Wechselberger
7. Arjen Doelman
8. Christian Kuehn

Citations in the corpus

• Spectral Stability of Small Shock Waves (2002, result): “For more background we refer also to the recent survey by Sandstede [ Sd ].”
• Exponential dichotomies for linear non-autonomous functional differential equations of mixed type (2002, background): “Dichotomies are also useful in the construction of Evans functions that can be used to investigate linear stability of travelling waves (see, for instance, [2, 18, 17] and references therein).”
• Evans function and blow-u[ methods in critical eienvalue problems (2004, result): “We remark that it was shown in [ 18 ], see also [12], that the Evans function can be constructed for algebraically decaying coecients as long as one stays away from the absolute spectrum that was”