Stability of ternary reaction-diffusion dynamical systems

DOI10.4171/RLM/599zbMath1242.35044MaRDI QIDQ413806

Salvatore Rionero

Publication date: 8 May 2012

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

direct methodconvective-diffusive fluid mixturenonlinear \(L^{2}\)-stability

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (15)

A priori \(L^\infty\) estimates for solutions of a class of reaction-diffusion systems ⋮ Identification of epidemiological models: the case study of Yemen cholera outbreak ⋮ Influence of diffusion on the stability of equilibria in a reaction-diffusion system modeling cholera dynamic ⋮ Onset of convection for ternary fluid mixtures saturating horizontal porous layers with large pores ⋮ Analysis of a mosquito-borne disease transmission model with vector stages and nonlinear forces of infection ⋮ On the stability of a SEIR reaction diffusion model for infections under Neumann boundary conditions ⋮ Influence of diffusion on the stability of a full Brusselator model ⋮ On the nonlinear stability of an epidemic SEIR reaction-diffusion model ⋮ Nonlinear stability in microfluidic porous convection problems ⋮ Modeling peer influence effects on the spread of high-risk alcohol consumption behavior ⋮ On the dynamics of an intraguild predator-prey model ⋮ Turing patterns in a reaction-diffusion system modeling hunting cooperation ⋮ Asymptotic stability of one prey and two predators model with two functional responses ⋮ Absence of subcritical instabilities and global nonlinear stability for porous ternary diffusive-convective fluid mixtures ⋮ Multicomponent diffusive-convective fluid motions in porous layers: Ultimately boundedness, absence of subcritical instabilities, and global nonlinear stability for any number of salts

Cites Work

• Long-time behaviour of multi-component fluid mixtures in porous media
• \(L^2\)-energy stability via new dependent variables for circumventing strongly nonlinear reaction terms
• A rigorous reduction of the \(L^2\)-stability of the solutions to a nonlinear binary reaction--diffusion system of PDE's to the stability of the solutions to a linear binary system of ODE's
• Mathematical Structures of Epidemic Systems
• Spatial Ecology via Reaction‐Diffusion Equations
• Stability and Wave Motion in Porous Media
• Cross-diffusion influence on the non-linear L2-stability analysis for a Lotka Volterra reaction diffusion system of PDEs
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Stability of ternary reaction-diffusion dynamical systems