Hyperbolic reaction-diffusion equations and irreversible thermodynamics: cubic reversible reaction model

DOI10.1016/0167-2789(95)00231-6zbMath0883.92031OpenAlexW1992035233MaRDI QIDQ1905735

Mazen Al-Ghoul, Byung Chan Eu

Publication date: 16 January 1996

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00231-6

zbMATH Keywords

entropy productionchemical oscillationshyperbolic reaction-diffusion equationscubic chemical reaction model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Applications to the sciences (65Z05) Chemical kinetics in thermodynamics and heat transfer (80A30) Second-order hyperbolic equations (35L10)

Related Items (11)

Subcritical Turing patterns in hyperbolic models with cross-diffusion ⋮ On discontinuous travelling wave solutions for a class of hyperbolic reaction-diffusion models ⋮ Nonequilibrium ensemble method for dilute gases: Grand canonical ensemble ⋮ Turing and wave instabilities in hyperbolic reaction-diffusion systems: the role of second-order time derivatives and cross-diffusion terms on pattern formation ⋮ Eckhaus instability of stationary patterns in hyperbolic reaction-diffusion models on large finite domains ⋮ Dynamic characteristics of a hyperbolic reaction–diffusion predator–prey system with self‐diffusion and nonidentical inertia ⋮ Supercritical and subcritical Turing pattern formation in a hyperbolic vegetation model for flat arid environments ⋮ Influence of temperature on Turing pattern formation ⋮ Hyperbolic reaction-diffusion equations and irreversible thermodynamics: II. Two-dimensional patterns and dissipation of energy and matter ⋮ Recent bibliography on extended irreversible thermodynamics and related topics (1995-1998) ⋮ A two or three compartments hyperbolic reaction-diffusion model for the aquatic food chain

Cites Work

• Chemical oscillations, waves, and turbulence
• Hyperbolic reaction-diffusion equations and chemical oscillations in the Brusselator
• Slowly Varying Waves and Shock Structures in Reaction-Diffusion Equations
• Excitability, wave reflection, and wave splitting in a cubic autocatalysis reaction-diffusion system
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Hyperbolic reaction-diffusion equations and irreversible thermodynamics: cubic reversible reaction model