Geodesic
Existence of solutions of a nonlinear system modelling fluid flow in porous media
Electronic journal of differential equations, Tome 2006 (2006)
We investigate the existence of weak solutions for nonlinear differential equations that describe fluid flow through a porous medium. Existence is proved using the theory of monotone operators, and some examples are given.
Classification : 35K60, 35J60
Keywords: flow in porous medium, nonlinear partial differential equations, monotone operators 
@article{EJDE_2006__2006__a158,
     author = {Besenyei,  \'Ad\'am},
     title = {Existence of solutions of a nonlinear system modelling fluid flow in porous media},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1128.35357},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a158/}
}
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Besenyei,  Ádám. Existence of solutions of a nonlinear system modelling fluid flow in porous media. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a158/