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一类界面化学反应模型的解的渐近性

The Asymptotic Behaviour for a Class of Chemical Interficial Reaction-Diffusion Models
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摘要 本文建立了一个界面化学反应模型,这个模型是一个具有非线性边界条件的抛物型反应扩散方程组.通过建立并求解关于方程组的解的微分不等式,我们得到了解及其任意阶导数在L∞的收敛速率估计. In this article, we advance a model arising in modeling the chemical in- terficial reaction problem. This model is described by a couple of reactiondiffusion equations with nonlinear boundary conditions. By constructing and solving some class of differential inequalities of solution, we obtain the rate of convergence for the solution.
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2001年第5期869-880,共12页 Acta Mathematica Sinica:Chinese Series
基金 国家数学天元基金资助项目(TY10126031)
关键词 界面化学反应模型 渐近性 收敛速率估计 非线性边界 抛物型反应扩散方程组 Chemical interficial model Asymptotic behaviour The rate of convergence
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参考文献8

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