Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
- 1 July 1982
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 13 (4) , 555-593
- https://doi.org/10.1137/0513037
Abstract
Summary:Reaction-diffusion systems are studied under the assumptions guaranteeing diffusion driven instability and arising of spatial patterns. A stabilizing influence of unilateral conditions given by quasivariational inequalities to this effect is describedKeywords
This publication has 20 references indexed in Scilit:
- A picture of the global bifurcation diagram in ecological interacting and diffusing systemsPhysica D: Nonlinear Phenomena, 1982
- Structure of singularities and its numerical realization in nonlinear elasticityKyoto Journal of Mathematics, 1980
- Activators and Inhibitors in Pattern FormationStudies in Applied Mathematics, 1978
- Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion EquationsSIAM Journal on Applied Mathematics, 1978
- Secondary Bifurcation in Nonlinear Diffusion Reaction EquationsStudies in Applied Mathematics, 1976
- Boundary and interior transition layer phenomena for pairs of second-order differential equationsJournal of Mathematical Analysis and Applications, 1976
- Bifurcation, perturbation of simple eigenvalues, itand linearized stabilityArchive for Rational Mechanics and Analysis, 1973
- Stable Mappings and Their SingularitiesPublished by Springer Nature ,1973
- A theory of biological pattern formationBiological Cybernetics, 1972
- Bifurcation from simple eigenvaluesJournal of Functional Analysis, 1971