On the Maximum Principle for Pseudoparabolic Equations.
On the Maximum Principle for Pseudoparabolic Equations.
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DOI：
10.21236/ada086380
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发表时间：
1980-04
期刊：
影响因子：
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通讯作者：
E. Benedetto;M. Pierre
中科院分区：
文献类型：
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作者：
E. Benedetto;M. Pierre
翻译后摘要：本报告考虑方程d/dt（μ-λ Δ μ）-Δ μ =0的圆柱形域。与热方程不同，边界数据的正性不足以确保解是非负的。需要识别上述属性为真的那些边界数据。一个原因是，由于上述方程是裂缝多孔介质中的热传导和流体流动的模型，因此定位那些使相应的物理过程有意义的边界数据是有意义的。本文研究了与上述方程有关的几个边值问题，给出了保证解的非负性的充分必要条件。
Abstract : This report consider the equation d/dt (mu - lambda delta mu)-delta mu=0 in a cylindrical domain. Unlike the heat equation, the positivity of the boundary data is not sufficient to insure that the solution is nonnegative. It is desirable to identify those boundary data for which the above property is true. One reason is that, since the above equation is a model for heat conduction and for fluid flow in fractured porous media, it is of interest to locate those boundary data that make the correspondent physical process meaningful. In this paper several boundary value problems associated with the above equation are studied and necessary and sufficient conditions on the data are given to insure the nonnegativity of the solution.