Professor James Blowey j.f.blowey@durham.ac.uk
Deputy Exec Dean & Dir Of Natural Scs
Professor James Blowey j.f.blowey@durham.ac.uk
Deputy Exec Dean & Dir Of Natural Scs
M.R. Garvie
We study two coupled reaction-diffusion equations of the $\lambda$–$\omega$ type [11] in $d\,{\le}\,3$ space dimensions, on a convex bounded domain with a $C^2$ boundary. The equations are close to a supercritical Hopf bifurcation in the reaction kinetics and are model equations for oscillatory reaction-diffusion equations. Global existence, uniqueness and continuous dependence on initial data of strong and weak solutions are proved using the classical Faedo-Galerkin method of Lions [15] and compactness arguments. We also present a complete case study for the application of this method to systems of nonlinear reaction-diffusion equations.
Blowey, J., & Garvie, M. (2005). Part I: Mathematical analysis. European Journal of Applied Mathematics, 16(1), 1-19. https://doi.org/10.1017/s0956792504005534
Journal Article Type | Article |
---|---|
Publication Date | 2005-02 |
Journal | European Journal of Applied Mathematics |
Print ISSN | 0956-7925 |
Electronic ISSN | 1469-4425 |
Publisher | Cambridge University Press |
Peer Reviewed | Peer Reviewed |
Volume | 16 |
Issue | 1 |
Pages | 1-19 |
DOI | https://doi.org/10.1017/s0956792504005534 |
Public URL | https://durham-repository.worktribe.com/output/1599384 |
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