Cubic autocatalytic reaction-diffusion equations: Semi-analytical solutions

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 458, Issue 2020, 2002, Pages 873-888

  Marchant, T R ^a  

^a UNIVERSITY OF WOLLONGONG   (Australia)

Author keywords

Gray Scott model; Hopf bifurcations; Reaction diffusion equations; Semi analytical solutions; Singularity theory

Indexed keywords

EID: 57249087302     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2001.0899     Document Type: Article

References (12)

1. Multiplicity features of reacting systems
2. Instabilities and oscillations in chemical reactions in closed and open systems
3. Autocatalytic reactions in the isothermal continuous, stirred tank reactor: Isolas and other forms of multistability
4. Autocatalytic reactions in the isothermal continuous, stirred tank reactor: Oscillations and instabilities in the system a + 2b → 3b; b → c
5. Multiple stationary states, sustained oscillations and transient behaviour in autocatalytic reaction-diffusion equations
6. The application of singularity theory to isothermal autocatalytic reactions: The influence of uncatalysed reactions
7. The microwave heating of two-dimensional slabs with small Arrhenius absorptivity
8. The steady-state microwave heating of slabs with small Arrhenius absorptivity
9. Isolas, mushrooms and oscillations in isothermal, autocatalytic reaction-diffusion equations