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Large Time Behavior of the Solutions to the Models for Reactors with Periodic Flow Reversal

Author: WangDongMei
Tutor: HuangJinYang
School: Beijing University of Chemical Technology
Course: Applied Mathematics
Keywords: Flow reversal Cycle steady state solution Maximum Norm Estimates Global Solutions for
CLC: TQ051
Type: Master's thesis
Year: 2005
Downloads: 17
Quote: 0
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Abstract


Periodic flow reversal is a non - steady - state catalytic reaction of new technologies, the reactor model is generally nonlinear reaction - new definite solution of the convection - diffusion equation . Little research on the nature of the solutions of the model of such a reactor . The the analysis model POSEDNESS and bounded , especially cyclic steady state solution in the presence of uniqueness and stability as well as other solution time behavior of the process , to ensure the utility of the model , a deep understanding of this type of reactor characteristics significance. This is a new type of definite solution of the problem , the solution of qualitative analysis has important theoretical significance . In this paper, the flow of one-dimensional space transform large time behavior of the reactor model solutions were studied. Discussed model as follows: where Q = { ( x, t ) | 0 lt ; x LT ; L 0 lt ; t ≤ T } ; S_T = { ( x , t ) | x = 0 or x = L , 0 ≤ t ≤ T}. The main contents of this paper are: (1 ) the use of the same area to prove the model (*) Existence of global solutions and boundedness . ( 2 ) the use of throwing diffusion equation the maximum mode estimated proved the single - equation model when f ( x , t , u ) u monotonically diminishing its corresponding cycle given state solution on the existence of sex , and when t → ∞ , the model solution cycle tends to its corresponding steady state solution .

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