|Author||Pao, C. V.|
|Source||United States Department of Energy Office of Scientific and Technical Information|
|Subject Keyword||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 ♦ Combustion, Pyrolysis, & High-Temperature Chemistry|
|Abstract||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.|
|Learning Resource Type||Article|
|Publisher Place||United States|
|Journal||J. Math. Anal. Appl.|
|Organization||NC State Univ, Raleigh|
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