Dissipative structures in a nonlinear reaction-diffusion model with forward inhibition. Stability of secondary multiple steady states

DOI10.1016/0034-4877(79)90075-2zbMath0449.35057OpenAlexW1971052185MaRDI QIDQ1147300

Víctor Fairén, Manuel G. Velarde

Publication date: 1979

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(79)90075-2

zbMATH Keywords

energy methodLyapunov stabilityreaction-diffusion systemsemilinear parabolic equationsteady state solutionsbifurcation diagramhomogeneous Dirichlet boundary conditionsdissipative structures

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Bifurcations in context of PDEs (35B32) Boundary value problems for ordinary differential equations (34B99)

Related Items (2)

Hopf bifurcation in a reaction-diffusion model with Degn-Harrison reaction scheme ⋮ Turing patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme

Cites Work

• Time-periodic oscillations in a model for the respiratory process of a bacterial culture
• A bifurcation problem for a nonlinear partial differential equation of parabolic type^†

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