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一类渗流模型弱解的唯一性

FANG Ping,SONG Ruifeng,ZHOU Yuzhong,ZHANG Xin

Journal of South China Normal University(Natural Science Edition)（2012）

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Abstract
对三维渗流方程θ(ψ(x,y,z,t))t=div[k(ψ(x,y,z,t))▽ψ(x,y,z,t)]-(k(ψ(x,y,z,t)))z作变换化为(A(u))t=Δu-(k(u))z,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(I)弱解的唯一性.
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Key words
reduction to absurdity,uniqueness,infiltration model,weak solution
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