液相快速反应往往难于排除小尺度混合过程的影响。本文根据作者提出的片状结构模型，将微观混合与快速复杂反应用一组无限区域上的非线性对流扩散方程描述。在主反应为瞬时反应的情况下，引入适当的变换，结合有关的解析解，将这一数学问题简化为有限区间上一个弱非线性方程的初边值问题，为进一步的数值模拟提供了方便。 Rapid liquid phase reaction often difficult to rule out the impact of small scale mixing process. In this paper, based on the sheetlike structure model proposed by the author, a series of nonlinear convection-diffusion equations on an infinite area are described in terms of microscopic mixing and rapid complex reaction. In the case that the main reaction is instantaneous response, the appropriate transformation is introduced and the relevant analytical solutions are combined to simplify the mathematical problem to the initial boundary value problem of a weakly nonlinear equation in a finite interval, which provides convenience for further numerical simulation .