三次自催化模型的整体解

Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (S1): 90-96.

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Global Solutions of the Cubic Autocatalytic Model

Wu Jianhua, Zhang Quande

Department of Mathematics, Shanxi Normal University, Xain 710062

Received:1996-03-25 Revised:1996-12-09 Online:1997-12-26 Published:1997-12-26

Abstract

Abstract: The paper first obtains the L²-apriori estimates for the solutions of two kinds of autocatalytic models under Dirichlet boundary conditions, and then, using the properties of linear semigroup and delicate calculations, the estimates of the maximal norms are obtained, therefore, the global existence of the solutions is proved. In the meantime, the existence of the maximal attractor is also given.

Key words: autocatalytic model, global solution, linear semigroup, maximal attractor

Wu Jianhua, Zhang Quande. Global Solutions of the Cubic Autocatalytic Model[J].Acta mathematica scientia,Series A, 1997, 17(S1): 90-96.

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Global Solutions of the Cubic Autocatalytic Model

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