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Abstract:

The general equation describing the steady-state flow through a porous column is λu - DxA(Dxθ{symbol}(u) + G(u)) = f, where λ is a nonnegative constant. In this paper existence, uniqueness and comparison results for solutions to the Dirichlet and mixed boundary value problems associated with this equation are proven. The existence of a weak solution to the evolution problems associated with the equation ut = Dx(Dxθ{symbol}(u) + G(u)) are deduced. © 1985.

Registro:

Documento: Artículo
Título:Flow through a porous column
Autor:Wolanski, N.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Palabras clave:MATHEMATICAL TECHNIQUES - Differential Equations; DIRICHLET PROBLEM; MIXED BOUNDARY VALUE PROBLEM; FLOW OF FLUIDS
Año:1985
Volumen:109
Número:1
Página de inicio:140
Página de fin:159
DOI: http://dx.doi.org/10.1016/0022-247X(85)90182-9
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v109_n1_p140_Wolanski

Referencias:

  • Ahmed, Sunada, Nonlinear flow in porous media (1969) J. Hydraulics Div. Proc. Amer. Soc. Civil Engrg., 95, pp. 1847-1857
  • Aronson, Regularity properties of flows through porous media (1969) SIAM Journal on Applied Mathematics, 17, pp. 461-467
  • Bear, (1972) Dynamics of Fluids in Porous Media, , Elsevier, New York
  • Evans, Nonlinear Evolution Equation in Banach Spaces (1975) Nature
  • Volker, Nonlinear flow in porous media by finite elements (1969) J. Hydraulics Div. Proc. Amer. Soc. Civil Engrg., 95, pp. 2093-2113

Citas:

---------- APA ----------
(1985) . Flow through a porous column. Journal of Mathematical Analysis and Applications, 109(1), 140-159.
http://dx.doi.org/10.1016/0022-247X(85)90182-9
---------- CHICAGO ----------
Wolanski, N. "Flow through a porous column" . Journal of Mathematical Analysis and Applications 109, no. 1 (1985) : 140-159.
http://dx.doi.org/10.1016/0022-247X(85)90182-9
---------- MLA ----------
Wolanski, N. "Flow through a porous column" . Journal of Mathematical Analysis and Applications, vol. 109, no. 1, 1985, pp. 140-159.
http://dx.doi.org/10.1016/0022-247X(85)90182-9
---------- VANCOUVER ----------
Wolanski, N. Flow through a porous column. J. Math. Anal. Appl. 1985;109(1):140-159.
http://dx.doi.org/10.1016/0022-247X(85)90182-9