𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A stability criterion for traveling waves in parabolic systems with small diffusion

✍ Scribed by A. Yu. Kolesov

Publisher
SP MAIK Nauka/Interperiodica
Year
1990
Tongue
English
Weight
443 KB
Volume
30
Category
Article
ISSN
0037-4466

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Traveling Waves for a Class of Cross-Dif
Traveling Waves for a Class of Cross-Diffusion Systems with Small Parameters
✍ Y.P. Wu πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 820 KB

This paper is concerned with the existence of the travelling wave solutions for some cross-diffusion systems with small parameters. By using singular perturbation method, we prove the existence of the travelling wave solutions with a speed \(c(\varepsilon) \varepsilon\), which extend the results of

Existence, uniqueness and asymptotic sta
Existence, uniqueness and asymptotic stability of time periodic traveling waves for a periodic Lotka–Volterra competition system with diffusion
✍ Guangyu Zhao; Shigui Ruan πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 469 KB

We study the existence, uniqueness, and asymptotic stability of time periodic traveling wave solutions to a periodic diffusive Lotka-Volterra competition system. Under certain conditions, we prove that there exists a maximal wave speed c(\*) such that for each wave speed c ≀ c(\*), there is a time p