Large Time Behavior Of The Solutions To The PDE System Models For Reactors With Flow Reversal

The operation of flow reversal is a new kind of unsteady-state reaction techniques. The models for the reactors are usually nonlinear reaction-convection diffusion system with new type definite conditions. So far, there are few qualitative analyses and researches on the models. In this thesis, the previous works on well-posedness, boundedness and large time behavior of the solutions are summarized, and large time behavior of the solutions to the PDE system models is analyzed and researched. Weak solution corresponding to the cyclic steady-state problems of the PDE system models is defined, and, under assumptions which accord comparatively with the actual situation, it is proved that there exists the weak cyclic steady-state solutions and the solutions to the models tend to the cyclic steady -state solutions.In Chapter 1, the reactors with flow reversal and their mathematical models are introduced. In Chapter 2, the researches on existence of the solutions and the cyclic steady -state solutions to the PDE system models are introduced. In Chapter 3, the researches on large time behavior of the solutions to the PDE system models are described.