Filtration in partially saturated and partially dried layered porous media
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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.
Key words
Filtration problem layered porous media nonlinear diffusionPreview
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References
- [1]H.W. Alt and S. Luckhaus. Quasilinear Elliptic-parabolic Differential Equations.Math. Z., 1983, 183: 311–341.CrossRefMATHMathSciNetGoogle Scholar
- [2]D.E. Hill and J.Y. Parlange. Wetting Front Instability in Layered Soils.Soil Sci. Soc. Am. Proc., 1972, 36: 697–702.CrossRefGoogle Scholar
- [3]Zhida Huang and M. Primicerio. The Surface Evaporation Problem with Signorini Boundary Condition.SIAM J. Math. Anal., 1992, 23(2): 334–345.CrossRefMATHMathSciNetGoogle Scholar
- [4]O.A. Ladyzhenskaja, V.A. Solonnikov and N.N. Ural'ceva. Linear and Quasilinear Equations of Parabolic Type. AMS, Transl., Providence, 1968.Google Scholar
- [5]Xiao Shutie and Huang Zhida. One Dimensional Filtration Problem in Partially Saturated Porous Media.Acta Mathematicae Applicatase Sinica, 1996, 12(4): 418–426.CrossRefMATHMathSciNetGoogle Scholar
- [6]Xiao Shutie, Huang Zhida and Zhou Chuanzhong. The Infiltration Problem with Constant Rate in Partially Saturated Porous Media.Acta Mathematicae Applicatae Sinica, 1984, 1(2): 108–126.CrossRefMATHGoogle Scholar
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