方平, 宋瑞凤, 周裕中, 张昕. 一类渗流模型弱解的唯一性[J]. 华南师范大学学报(自然科学版), 2012, 44(3). doi: 10.6054/j.jscnun.2012.06.006
引用本文: 方平, 宋瑞凤, 周裕中, 张昕. 一类渗流模型弱解的唯一性[J]. 华南师范大学学报(自然科学版), 2012, 44(3). doi: 10.6054/j.jscnun.2012.06.006
THE UNIQUENESS OF THE WEAK SOLUTION OF THE INFILTRATION MODEL[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(3). doi: 10.6054/j.jscnun.2012.06.006
Citation: THE UNIQUENESS OF THE WEAK SOLUTION OF THE INFILTRATION MODEL[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(3). doi: 10.6054/j.jscnun.2012.06.006

一类渗流模型弱解的唯一性

THE UNIQUENESS OF THE WEAK SOLUTION OF THE INFILTRATION MODEL

  • 摘要: 对三维渗流方程 作变换化为 ,通过构造一个特殊的检验函数,用反证法证明了三维渗流数学模型 弱解的唯一性.

     

    Abstract: The three-dimensional infiltration equation was transformed into . By constructing a special test function, the uniqueness of the weak solutions of this model was proved with reduction to absurdity.

     

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