A minmax formulation of nonlinear seepage flow problem

References

• Bear , J. and Verruijt , A. 1987 . Modeling Groundwater Flow and Pollution , D. Reidel Publ. Company .
   Google Scholar
• Truesdell , C. 1984 . Rational Thennodynamics , N. Y : Springer-Verlag . 2nd ed
   Google Scholar
• Kaviany , M. 1991 . Principle of heat tmllsfert in porous media , Springer-Verlag International .
   Google Scholar
• Barak , A. Z. and Bear , J. 1981 . Flow at High Reynolds Numbers through Anisotropic Porous media . Water Resources Research , 4 : 54 – 66 .
   Google Scholar
• Firdaouss , M. , Guermond , J. and Le Quere , P. 1997 . Nonlinear Correction to Darcy’s Law at Low Reynolds Number . J. Fluid Meclt , 343 : 331 – 350 .
   Web of Science ®Google Scholar
• Knupp , P. M. and Lage , J. L. 1995 . Generalization of the Forchheimer-Extended Darcy Model to the Tensor Permeability Case via a Variational Principle . J. Fluid Mech , 299 ( 2 ) : 97 – 104 .
   Google Scholar
• Duvaut , J. and Lions , J. L. 1972 . Les lnéquations en Mécanique et en Physique , Paris : Dunod .
   Google Scholar
• Moreau , J.J. 1974 . “ On Unilateral Constraints, Friction and Plasticity ” . In New Variational Techniques in Mathematical Physics , Cremonese , Roma : CIME, Ed .
   Google Scholar
• Onsager , L. 1942 . Theoriesand Problems of Liquid Diffusion . N. Y. Ac. of Sdellces , 78 : 622 – 645 .
   Google Scholar
• Darcy , H. 1956 . Les FontailteS Publiques de fa Ville de Dijon , Paris : Victor Dalmont .
   Google Scholar
• Dupuit , J. 1863 . études Théoriques et Pratiques Sur le Mouvement des Eartx , Paris : Dunod .
   Google Scholar
• Muskat , M. 1946 . The Flow of Homogeneous Fluids through Porous Media Edited by: Edwards , J. Ann Arbor , Michigan
   Google Scholar
• Forchheimer , P. 1901 . Wasserbewegung durch Boden . Zeitscrift des Vereines Deutscher Ingenieure , 45 : 1782 – 1788 .
   Google Scholar
• Hsu , C. T. and Cheng , P. 1990 . Thermal Dispersion in a Porous Medium . Int. J. Heat Mass Transfer , 33 : 1587 – 1597 .
   Web of Science ®Google Scholar
• Mei , C. C. and Auriault , J. L. 1991 . The Effect of Weak Inertia on Flow through Porous Media . J. Fluid Mech , 222 : 647 – 663 .
   Web of Science ®Google Scholar
• Oden , J. T. and Rerldy , J. N. 1976 . Variational Methods in Theoretical Mechanics , Michigan : Springer .
   Google Scholar
• Zeidler , E. 1985 . Nonlinear Functional Analysis and its Applications, VoL III , Springer-Verlag International .
   Google Scholar
• Strang , G. 1988 . A Framework for Equilibrium Equations . SIAM Review , 30 : 283 – 297 .
   Web of Science ®Google Scholar