The existence, uniqueness, and instability of spherically symmetric solutions of a system of reaction-diffusion equations

DOI10.1016/0022-0396(84)90137-2zbMath0545.35049OpenAlexW1993462206MaRDI QIDQ797051

William C. Troy, Gene A. Klaasen

Publication date: 1984

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90137-2

zbMATH Keywords

stabilityexistenceuniquenessreaction-diffusionradially symmetricBelousov-Zhabotinskij reactioncenter manifoldssteady-stateFitzhugh-Nagumo systemnerve conductionbackwards shootingField-Noyes modellinearly unstable

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35)

Related Items

On the dynamics of the diffusive Field-Noyes model for the Belousov-Zhabotinskii reaction

Cites Work

• The Existence of Solitary Traveling Wave Solutions of a Model of the Belousov-Zhabotinskii Reaction
• Single and Multiple Pulse Waves for the FitzHugh–Nagumo
• Unnamed Item