| ONE DIMENSIONAL FILTRATION PROBLEM IN PARTIALLY SATURATED LAYERED POROUS MEDIA |
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| 引用本文： | 萧树铁,黄志达. ONE DIMENSIONAL FILTRATION PROBLEM IN PARTIALLY SATURATED LAYERED POROUS MEDIA[J]. 应用数学学报(英文版), 1996, 12(4): 418-426. DOI: 10.1007/BF02029071 |
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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，Guanyzhou 510631，China) |
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| 摘 要： | ＯＮＥＤＩＭＥＮＳＩＯＮＡＬＦＩＬＴＲＡＴＩＯＮＰＲＯＢＬＥＭＩＮＰＡＲＴＩＡＬＬＹＳＡＴＵＲＡＴＥＤＬＡＹＥＲＥＤＰＯＲＯＵＳＭＥＤＩＡ￥ＸＩＡＯＳＨＵＴＩＥ（萧树铁）（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，Ｔｓｉｎｇｈｕａ...
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| 收稿时间： | 1993-07-09 |
One dimensional filtration problem in partially saturated layered porous media |
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| Shutie Xiao,Zhida Huang. One dimensional filtration problem in partially saturated layered porous media[J]. Acta Mathematicae Applicatae Sinica, 1996, 12(4): 418-426. DOI: 10.1007/BF02029071 |
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| Authors: | Shutie Xiao Zhida Huang |
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| Affiliation: | (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: | We study in this paper the first boundary value problem of one dimensional degenerate quasilinear elliptic-parabolic equation with discontinuous coefficients (layered media). The uniquenessof the weak solutions is proved under natural conditions. |
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| Keywords: | Filtration problem elliptic-parabolic equation porous medium equation nonlinear diffusion |
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