|
| << vorige | volgende >> |
Tijdschrift beschrijving
Alle jaargangen van het bijbehorende tijdschrift
Alle afleveringen van het bijbehorende jaargang
Alle artikelen van de bijbehorende aflevering
Details van artikel 103 van 114 gevonden artikelen
| Titel: |
Structural stability of travelling waves in an integrodifferential equation |
| Auteur: |
Georgi, Marc |
| Verschenen in: |
Dynamical systems |
| Paginering: | Jaargang 23 (2008) nr. 1 pagina's 109-135 |
| Jaar: |
2008-03 |
| Inhoud: |
In this article, we study the structural stability of travelling waves of an integrodifferential equation, which can be viewed as the non-local analogon of the reaction-diffusion equation u˙ = uxx + f(u). More precisely, we are interested in the question whether a travelling wave solution persists under small perturbations of the equation. Since the travelling wave equation is a functional differential equation of mixed type, a deeper understanding of the intersection of stable and unstable manifold of the steady state in mixed type equations turns out to be crucial. As one of the main results, we prove the existence of stable and unstable manifolds for general functional differential equations. We apply our results to the one-dimensional equation of elasticity with non-local energy. In particular, we prove that a travelling wave is structural stable if and only if the underlying shock wave is compressive. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 103 van 114 gevonden artikelen
| << vorige | volgende >> |