| FILTRATION IN PARTIALLY SATURATED AND PARTIALLY DRIED LAYERED POROUS MEDIA |
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| 作者姓名： | 萧树铁 黄志达 |
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| 作者单位： | XIAO SHUTIE (Department of Applied Mathematics，Tsinghua University，Beijing 100084，China);HUANG ZHIDA (Department of Mathematics，South China Normal University，Guangzhou 510631，China) |
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| 摘 要： | 1.IntroductionThefiltrationprobleminInferedporousmediaarisesfromthestudiesofwatermovementduringirrigationandofthesalinizationofsoil.Thisproblemhasbeenelaboratelyinvestigatedforthesaturatedcase,whileforthegeneralcase,worksseemtoconcentrateonlyonexperimentalandnumericalaspects.Theseworksrevealsomeinterestingtheoreticalquestions.FOrexample,HillandParlange2]foundin1972thattheverticalinfiltrationofwaterintwo-layeredsandconstitutedwithfinerupperlayerandcoarserlowerisunstable.Afterthemathematicali…
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| 收稿时间： | 9 July 1993 |
Filtration in partially saturated and partially dried layered porous media |
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| Shutie Xiao,Zhida Huang.FILTRATION IN PARTIALLY SATURATED AND PARTIALLY DRIED LAYERED POROUS MEDIA[J].Acta Mathematicae Applicatae Sinica,1997,13(3):225-234. |
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| Authors: | Shutie Xiao Zhida Huang |
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| Institution: | (1) Department of Applied Mathematics, Tsinghua University, 100084 Beijing, China;(2) Department of Mathematics, South China Normal University, 510631 Guangzhou, China |
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| Abstract: | One dimensional filtration problem in partially saturated and partially dried layered porous media is studied. Main difficulties are the occurrence of infinite value of capillary piezometric head in dry regions. The existence and uniqueness of the weak solutions is proved under natural conditions. |
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| Keywords: | Filtration problem layered porous media nonlinear diffusion |
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