Modelling surface runoff and infiltration of rain by an elliptic-parabolic equation coupled with a first-order equation on the boundary

Archive for Rational Mechanics and Analysis

Volumn 146, Issue 2, 1999, Pages 157-182

  Filo, Ján ^a   Luckhaus, Stephan ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033445880     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002050050140     Document Type: Article

References (10)

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3. BEAR, J., Hydraulics of Groundwater, McGraw-Hill, New York, 1979.
4. BEAR, J. & VERRUIJT, A., Modeling Groundwater Flow and Pollution, Reidel, Dordrecht 1987.
5. FILO, J., Finite time of stabilization in the one-dimensional problem of nonsteady filtration, Math. Methods Appl. Sciences, 19, 529-554 (1996).
6. HILDEBRAND, F., The first boundary value problem in the large for a quasilinear equation of first order, Sov. Math. Dokl., 16, 88-92 (1975).
7. KRUŽKOV, S. N., First order quasilinear equations in several independent variables, Mat. Sbornik, 81, 217-243 (1970).
8. LADYŽENSKAJA, O. A., SOLONNIKOV, V. A. & URAĽCEVA, N. N., Linear and Quasilinear Equations of Parabolic Type, Amer. Math. Soc., Providence, 1968.
9. OTTO, F., First order equations with boundary conditions, Preprint No. 234, SFB 256, Bonn University (1992).
10. LADYŽENSKAJA O.A. & URAĽCEVA N. N., Linear and quasilinear equations of elliptic type, Nauka, Moscow, 1964; English transl., Academic Press, New York, 1968.