Convergence to the psuedo-steady-state approximation for the unreacted core model

Abstract

We prove that the solution of a parabolic free boundary problem, arising from a model for some isothermal equimolal non-cathalytic reactions between a fluid and a solid (e.g. oxidization), converges to the solution of the pseudo-steady-state approximation.

Keywords:

• Unreacted core problem
• parabolic equation
• free boundary problem

AMS(MOS):

• 35K05
• 35K57