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中文摘要：
研究了出现在人口动力学和稳定分层粘性湍动慢剪切流中热与质量传输理论的一类非线性拟抛物粘性扩散方程.借助于分离变量方法获得了所研究方程的一些精确解,包括整体光滑解和精确爆破解.这些解有助于定性或数值分析非线性拟抛物粘性扩散方程解的性态.
英文摘要：
This paper studies a class of nonlinear pseudo-parabolic viscous diffusion equation which arises in population dynamics and in the theory of heat and mass transfer in stably stratified turbulent shear and slow viscous flows.With the aid of method of separation of variables,we obtain some exact solutions of the equation.These solutions include the global smooth solutions and exact blow up solutions.They are helpful to analyze the behavior of solutions of nonlinear pseudo-parabolic viscous diffusion equation qualitatively and numerically.
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