一类拟线性偏微分方程组的Laplace空间解的形式相似性

摘要

本文作者研究了一类拟线性偏微分方程组在不同的外边界条件(无穷大外边界,封闭外边界,定值外边界)和随机时间变化的内边界条件下的初值问题在Laplace空间的解的形式相似性,它能很好地帮助我们认识模型遵从的内在规律及设计相应的应用软件.%In this paper,the author studied the formal similarity of solutions in the Laplace space on the class of quasilinear partial differnetial equation system with the three kinds of outer boundary condition (infinite boundary,closed boundary, constant value outer boundary)and the kind of inner boundary condition in connection with time t. The work in this paper can be a good heop to understanding inherent laws of relevant engineering science and design practical analysis software.