On a nonlinear parabolic system arising in modelling of a catalytic cracking reactor

Abstract

In this paper, the existence and uniqueness of weak solutions is established for a nonlinear parabolic system arising in modelling of a catalytic cracking reactor. By applying the asymptotic behaviour, it is demonstrated that under certain restrictive assumptions on the kinetic parameters, the solutions converge towards a solution of the corresponding stationary problem.

Keywords

• Nonlinear parabolic system
• Dankwerts
• Unsteady state