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[1] Nicola L. Scott and B. Straughan.
Continuous dependence on the reaction terms in porous convection with surface reactions.
Quart. Appl. Math.
Abstract, references, and article information
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[2] Todd Arbogast, Zhen Tao and Hailong Xiao.
Multiscale mortar mixed methods for heterogeneous elliptic
problems.
Contemp. Math.
586
(2013)
9-21.
Book volume table of contents
View Article: PDF
[3] Pu Song and Ivan Yotov.
Coupling surface and subsurface flows with curved
interfaces.
Contemp. Math.
586
(2013)
331-339.
Book volume table of contents
View Article: PDF
[4] Catherine Choquet.
Transport of heat and mass in a fluid with vanishing mobility.
Quart. Appl. Math.
66
(2008)
771-779.
MR 2465144.
Abstract, references, and article information
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[5] Denise Aregba-Driollet, Gabriella Bretti and Roberto Natalini.
Numerical schemes for the Barenblatt model of non-equilibrium two-phase flow in porous media.
Quart. Appl. Math.
66
(2008)
201-231.
MR 2416771.
Abstract, references, and article information
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[6] K. Vajravelu, J. R. Cannon and D. Rollins.
Diffusion of chemically reactive species in a porous medium.
Quart. Appl. Math.
64
(2006)
17-28.
MR 2211375.
Abstract, references, and article information
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[7] Carsten Ebmeyer and José Miguel Urbano.
The smoothing property for a class of doubly nonlinear parabolic equations.
Trans. Amer. Math. Soc.
357
(2005)
3239-3253.
MR 2135744.
Abstract, references, and article information
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[8] Björn Gustafsson, Dmitri Prokhorov and Alexander Vasil'ev.
Infinite lifetime for the starlike dynamics in Hele-Shaw cells.
Proc. Amer. Math. Soc.
132
(2004)
2661-2669.
MR 2054792.
Abstract, references, and article information
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[9] Antoine Henrot and Henrik Shahgholian.
The one phase free boundary problem for the $p$-Laplacian with non-constant Bernoulli boundary condition.
Trans. Amer. Math. Soc.
354
(2002)
2399-2416.
MR 1885658.
Abstract, references, and article information
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[10] S. B. Angenent and D. G. Aronson.
Non-axial self-similar hole filling for the porous medium equation.
J. Amer. Math. Soc.
14
(2001)
737-782.
MR 1839916.
Abstract, references, and article information
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[11] Andro Mikelic and Laetitia Paoli.
Homogenization of the inviscid incompressible fluid flow through a 2D porous medium.
Proc. Amer. Math. Soc.
127
(1999)
2019-2028.
MR 1626446.
Abstract, references, and article information
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[12] Malgorzata Peszynska.
Finite element approximation of diffusion equations with convolution
terms.
Math. Comp.
65
(1996)
1019-1037.
MR 1344620.
Abstract, references, and article information
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[13] Carmen Cortázar and Manuel Elgueta.
How long does it take for a gas to fill a porous
container?
.
Proc. Amer. Math. Soc.
122
(1994)
449-453.
MR 1232138.
Abstract, references, and article information
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[14] D. Eidus and S. Kamin.
The filtration equation in a class of functions
decreasing at infinity
.
Proc. Amer. Math. Soc.
120
(1994)
825-830.
MR 1169025.
Abstract, references, and article information
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[15] Björn E. J. Dahlberg and Carlos E. Kenig.
Weak solutions of the porous medium equation
.
Trans. Amer. Math. Soc.
336
(1993)
711-725.
MR 1085939.
Abstract, references, and article information
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[16] Björn E. J. Dahlberg and Carlos E. Kenig.
Weak solutions of the porous medium equation in a
cylinder
.
Trans. Amer. Math. Soc.
336
(1993)
701-709.
MR 1085940.
Abstract, references, and article information
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[17] Torgeir Rusten and Ragnar Winther.
Substructure preconditioners for elliptic saddle
point problems
.
Math. Comp.
60
(1993)
23-48.
MR 1149293.
Abstract, references, and article information
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[18] Lang-Fang Wu.
A new result for the porous medium equation derived
from the Ricci flow
.
Bull. Amer. Math. Soc.
28
(1993)
90-94.
MR 1164949.
Abstract, references, and article information
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[19] So-Hsiang Chou and Qian Li.
Mixed finite element methods for compressible
miscible displacement in porous media
.
Math. Comp.
57
(1991)
507-527.
MR 1094942.
Abstract, references, and article information
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[20] Kazuya Hayasida.
On the regularity properties for solutions of the
Cauchy problem for the porous media equation
.
Proc. Amer. Math. Soc.
107
(1989)
107-112.
MR 948150.
Abstract, references, and article information
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[21] Björn E. J. Dahlberg and Carlos E. Kenig.
Nonnegative solutions of the initial-Dirichlet
problem for generalized porous medium equations in
cylinders
.
J. Amer. Math. Soc.
1
(1988)
401-412.
MR 928264.
Abstract, references, and article information
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[22] Sigurd Angenent.
Analyticity of the interface of the porous media
equation after the waiting time
.
Proc. Amer. Math. Soc.
102
(1988)
329-336.
MR 920995.
Abstract, references, and article information
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[23] Philippe Bénilan and Juan Luis Vázquez.
Concavity of solutions of the porous medium
equation
.
Trans. Amer. Math. Soc.
299
(1987)
81-93.
MR 869400.
Abstract, references, and article information
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[24] David Hoff.
A linearly implicit finite-difference scheme for
the one-dimensional porous medium equation
.
Math. Comp.
45
(1985)
23-33.
MR 790642.
Abstract, references, and article information
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[25] Juan L. Vázquez.
The interfaces of one-dimensional flows in porous
media
.
Trans. Amer. Math. Soc.
285
(1984)
717-737.
MR 752500.
Abstract, references, and article information
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[26] Björn E. J. Dahlberg, Eugene B. Fabes and Carlos E. Kenig.
A Fatou theorem for solutions of the porous medium
equation
.
Proc. Amer. Math. Soc.
91
(1984)
205-212.
MR 740172.
Abstract, references, and article information
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[27] Juan Luis Vázquez.
Behaviour of the velocity of one-dimensional flows
in porous media
.
Trans. Amer. Math. Soc.
286
(1984)
787-802.
MR 760987.
Abstract, references, and article information
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[28] E. DiBenedetto and David Hoff.
An interface tracking algorithm for the porous
medium equation
.
Trans. Amer. Math. Soc.
284
(1984)
463-500.
MR 743729.
Abstract, references, and article information
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[29] Jim Douglas and Jean E. Roberts.
Numerical methods for a model for compressible
miscible displacement in porous media
.
Math. Comp.
41
(1983)
441-459.
MR 717695.
Abstract, references, and article information
View Article: PDF
[30] Michael E. Rose.
Numerical methods for flows through porous media.
I
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Math. Comp.
40
(1983)
435-467.
MR 689465.
Abstract, references, and article information
View Article: PDF
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