| 一类二阶偏微分方程的Laplace空间解的形式相似性 |
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| 引用本文： | 李顺初. 一类二阶偏微分方程的Laplace空间解的形式相似性[J]. 西华大学学报(自然科学版), 2007, 26(4): 83-86 |
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| 作者姓名： | 李顺初 |
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| 作者单位： | 西华大学应用数学研究所,四川,成都,610039 |
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| 摘 要： | 研究了基于分形均匀介质模型的拟线性偏微分方程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)和随时间变化的内边界条件下的初边值问题在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.
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| 关 键 词： | 偏微分方程 拟线性 分形 均匀介质模型 边界条件 Laplace空间解 形式相似性 |
| 文章编号： | 1673-159X(2007)04-0083-04 |
| 修稿时间： | 2007-03-21 |
Formal Similarity of Solutions to the Class of 2-order Partial Differential Equation in the Laplace Space |
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| LI Shun-chu. Formal Similarity of Solutions to the Class of 2-order Partial Differential Equation in the Laplace Space[J]. Journal of Xihua University(Natural Science Edition), 2007, 26(4): 83-86 |
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| Authors: | LI Shun-chu |
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| Abstract: | In this paper,the author studied the formal similarity of solutions to the kind of quasilinear partial differential equation in the Laplace space based on the fractal homogenous reservoirs model with the three kinds of outer boundary conditions(i.e.infinite boundary,closed boundary,constant value outer boundary) and the kind of inner boundary condition in connection with time t.The work conducted can be helpful to understand inherent laws of relevant engineering science and to design application software. |
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| Keywords: | quasilinear partial differential equation fractal homogenous reservoirs model boundary conditions solutions in the Laplace space formal similarity |
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