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A Model of Porous Catalyst Accounting for Incipiently Non-isothermal Effects*
Mancebo, Francisco J. and Vega de Prada, José Manuel
A Model of Porous Catalyst Accounting for Incipiently Non-isothermal Effects*.
"Journal of Differential Equations", v. 151
An approximate model accounting for incipiently non-isothermal effects is derived from a well-known model of porous catalyst for appropriate, realistic limiting values of the parameters. In this limit, the original model is a singularly perturbed, m-D reaction–diffusion system, and the approximate model is given by the m-D heat equation with nonlinear boundary condition, coupled with infinitely many (ifm2) 1-D semilinear parabolic equations, one for each point of the boundary of the spatial domain. Some limiting cases are still considered in the approximate model that lead to further simplifications.
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