Linear convective stability of a front superposition with unstable connecting state
Abstract
Abstract We study linear convective stability of a two-front superposition in a reaction-diffusion system. Due to the instability of the connecting equilibrium, long-range semi-strong interaction is expected between the two waves. When restricting to the linear dynamics, we indeed identify that convective stability of superposed waves occurs for fewer propagation speeds than for the corresponding single waves. It reflects the interaction that monostable waves have over long distances. Our method relies on numerical range estimates, that imply time-uniform resolvent bounds.
Fields of Study & Subjects
Quantum chaos and dynamical systems
Advanced Thermodynamics and Statistical Mechanics
Publication details
- Journal / source
- Nonlinear Differential Equations and Applications NoDEA
- Publisher
- Springer Science and Business Media LLC
- Volume
- 33
- Issue
- 4
- Publication date
- 20 May 2026
- Language
- EN