Asymptotic stability of reaction-diffusion systems in chemical reactor and combustion theory

Journal Article · Sat Aug 01 00:00:00 EDT 1981 · J. Math. Anal. Appl.; (United States)

DOI:https://doi.org/10.1016/0022-247X(81)90213-4· OSTI ID:5340180

Pao, C V

Some coupled reaction-diffusion systems arising from chemical diffusion processes and combustion theory are analyzed. This analysis includes the existence and uniqueness of positive time-dependent solutions, upper and lower bounds of the solution, asymptotic behavior and invariant sets, and the stability of steady-state solutions, including an estimate of the stability region. Explicit conditions for the asymptotic behavior and the stability of a steady-state solution are given. These conditions establish some interrelationship among the physical parameters of the diffusion medium, the reaction mechanism, the initial function and the type of boundary condition. 32 refs.

• Research Organization: NC State Univ, Raleigh
• OSTI ID: 5340180
• Journal Information: J. Math. Anal. Appl.; (United States), Vol. 82:2
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC
ORGANIC
PHYSICAL AND ANALYTICAL CHEMISTRY
CHEMICAL REACTION KINETICS
MATHEMATICAL MODELS
COMBUSTION KINETICS
BOUNDARY CONDITIONS
CHEMICAL REACTORS
COMBUSTION
DIFFUSION
STABILITY
STEADY-STATE CONDITIONS
CHEMICAL REACTIONS
KINETICS
OXIDATION
REACTION KINETICS
THERMOCHEMICAL PROCESSES
400800* - Combustion
Pyrolysis
& High-Temperature Chemistry