-
1
-
-
84926786894
-
The diffusion of imprisoned radiation through a gas
-
E. Milne, The diffusion of imprisoned radiation through a gas, J. London Math. Soc. 1 (1926), pp. 40-51.
-
J. London Math. Soc
, vol.1
, Issue.1926
, pp. 40-51
-
-
Milne, E.1
-
2
-
-
36248938881
-
Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks (strata)
-
G.I. Barenblatt, I.P. Zheltov, and I.N. Kochina, Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks (strata), J. Appl. Math. Mech. 24 (1960), pp. 1286-1303.
-
J. Appl. Math. Mech
, vol.24
, Issue.1960
, pp. 1286-1303
-
-
Barenblatt, G.I.1
Zheltov, I.P.2
Kochina, I.N.3
-
3
-
-
0006500336
-
On the problem of the process of propagation of heat in heterogeneous media
-
L.I. Rubenstein, On the problem of the process of propagation of heat in heterogeneous media, Izv. Akad. Nauk SSSR, Ser. Geogr. 1 (1948), pp. 12-45.
-
Izv. Akad. Nauk SSSR, Ser. Geogr
, vol.1
, Issue.1948
, pp. 12-45
-
-
Rubenstein, L.I.1
-
4
-
-
0039633096
-
The final value problem for evolution equations
-
R.E. Showalter, The final value problem for evolution equations, J. Math. Anal. Appl. 47 (1974), pp. 563-572.
-
J. Math. Anal. Appl
, vol.47
, Issue.1974
, pp. 563-572
-
-
Showalter, R.E.1
-
5
-
-
85121572269
-
Nonlinear inverse scale space methods
-
M. Burger, G. Gilboa, S. Osher, and J. Xu, Nonlinear inverse scale space methods, Commun. Math. Sci. 4 (2006), pp. 179-212.
-
Commun. Math. Sci
, vol.4
, Issue.2006
, pp. 179-212
-
-
Burger, M.1
Gilboa, G.2
Osher, S.3
Xu, J.4
-
6
-
-
38949093647
-
A generalized eigenproblem for the Laplacian which arises in lightning
-
B.C. Aslan, W.W. Hager, and S. Moskow, A generalized eigenproblem for the Laplacian which arises in lightning, J. Math. Anal. Appl. 341 (2008), pp. 1028-1041.
-
J. Math. Anal. Appl
, vol.341
, Issue.2008
, pp. 1028-1041
-
-
Aslan, B.C.1
Hager, W.W.2
Moskow, S.3
-
7
-
-
0002189557
-
Pseudoparabolic partial differential equations, SIAM
-
R.E. Showalter and T.W. Ting, Pseudoparabolic partial differential equations, SIAM J. Math. Anal. 1 (1970), pp. 1-26.
-
J. Math. Anal
, vol.1
, Issue.1970
, pp. 1-26
-
-
Showalter, R.E.1
Ting, T.W.2
-
8
-
-
84972538756
-
Partial differential equations of Sobolev-Galpern type, Pacific
-
R.E. Showalter, Partial differential equations of Sobolev-Galpern type, Pacific J. Math. 31 (1969), pp. 787-793.
-
J. Math
, vol.31
, Issue.1969
, pp. 787-793
-
-
Showalter, R.E.1
-
9
-
-
84972545547
-
Parabolic and pseudo-parabolic partial differential equations
-
T.W. Ting, Parabolic and pseudo-parabolic partial differential equations, J. Math. Soc.Japan 21 (1969), pp. 440-453.
-
J. Math. Soc.Japan
, vol.21
, Issue.1969
, pp. 440-453
-
-
Ting, T.W.1
-
10
-
-
0004199058
-
-
Academic Press (Harcourt Brace Jovanovich Publishers), New York
-
R.W. Carroll and R.E. Showalter, Singular and degenerate Cauchy problems, in Mathematics in Science and Engineering, Vol. 127, Academic Press (Harcourt Brace Jovanovich Publishers), New York, 1976.
-
(1976)
Singular and Degenerate Cauchy Problems, in Mathematics in Science and Engineering
, vol.127
-
-
Carroll, R.W.1
Showalter, R.E.2
-
11
-
-
0003608087
-
-
Petroleum Publishing Company, Tulsa, 1976 (Originally published by Van Nostrand Reinhold
-
R. Collins, Flow of Fluids Through Porous Materials, Petroleum Publishing Company, Tulsa, 1976 (Originally published by Van Nostrand Reinhold, 1961).
-
(1961)
Flow of Fluids Through Porous Materials
-
-
Collins, R.1
-
12
-
-
0003798033
-
-
CRC Press LLC, Boca Raton, FL
-
J.S. Selker, C.K. Keller, and J.T. McCord, Vadose Zone Processes, CRC Press LLC, Boca Raton, FL, 1999.
-
(1999)
Vadose Zone Processes
-
-
Selker, J.S.1
Keller, C.K.2
McCord, J.T.3
-
13
-
-
0000339436
-
Nonsteady flow of water and oil through inhomogeneous porous media
-
H.W. Alt and E. DiBenedetto, Nonsteady flow of water and oil through inhomogeneous porous media, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 12(4) (1985), pp. 335-392.
-
Ann. Scuola Norm. Sup. Pisa Cl. Sci
, vol.12
, Issue.1985
, pp. 335-392
-
-
Alt, H.W.1
Dibenedetto, E.2
-
14
-
-
0000152709
-
On nonstationary flow through porous media
-
H. Alt, S. Luckhaus, and A. Visintin, On nonstationary flow through porous media, Ann. Mat. Pura Appl. 136 (1984), pp. 303-316.
-
Ann. Mat. Pura Appl
, vol.136
, Issue.1984
, pp. 303-316
-
-
Alt, H.1
Luckhaus, S.2
Visintin, A.3
-
15
-
-
38249010485
-
The existence of weak solutions to single porosity and simple dualporosity models of two-phase incompressible flow
-
T. Arbogast, The existence of weak solutions to single porosity and simple dualporosity models of two-phase incompressible flow, Nonlinear Anal. 19 (1992), pp. 1009-1031.
-
Nonlinear Anal
, vol.19
, Issue.1992
, pp. 1009-1031
-
-
Arbogast, T.1
-
16
-
-
0027881895
-
Thermodynamic basis of capillary pressure on porous media
-
S. Hassanizadeh and W.G. Gray, Thermodynamic basis of capillary pressure on porous media, Water Resour. Res. 29 (1993), pp. 3389-3405.
-
Water Resour. Res
, vol.29
, Issue.1993
, pp. 3389-3405
-
-
Hassanizadeh, S.1
Gray, W.G.2
-
17
-
-
0346198369
-
A mathematical model of non-equilibrium counter-current capillary imbibition
-
G. Barenblatt and A.A. Gil'man, A mathematical model of non-equilibrium counter-current capillary imbibition, J. Eng. Phys. 52 (1987), pp. 456-461.
-
J. Eng. Phys
, vol.52
, Issue.1987
, pp. 456-461
-
-
Barenblatt, G.1
Gil'man, A.A.2
-
18
-
-
0346009268
-
The mathematical model of non-equilibrium effects in water-oil displacement
-
G.I. Barenblatt, D.B. Silin, and T.W. Patzek, The mathematical model of non-equilibrium effects in water-oil displacement, SPEJ 8 (2003), pp. 409-416.
-
SPEJ
, vol.8
, Issue.2003
, pp. 409-416
-
-
Barenblatt, G.I.1
Silin, D.B.2
Patzek, T.W.3
-
19
-
-
83455218430
-
Dynamic effects in the capillary pressure saturation relationship and their impacts on unsaturated flow
-
S. Hassanizadeh, M. Celia, and H. Dahle, Dynamic effects in the capillary pressure saturation relationship and their impacts on unsaturated flow, Vadose Zone J. 1 (2002), pp. 38-57.
-
(2002)
Vadose Zone J
, vol.1
, pp. 38-57
-
-
Hassanizadeh, S.1
Celia, M.2
Dahle, H.3
-
20
-
-
0032949902
-
Laboratory investigations of effective flow behavior in unsaturated heterogeneous sands
-
D. Wildenschild and K. Jensen, Laboratory investigations of effective flow behavior in unsaturated heterogeneous sands, Water Res. Res. 35 (1999), pp. 17-27.
-
Water Res. Res
, vol.35
, Issue.1999
, pp. 17-27
-
-
Wildenschild, D.1
Jensen, K.2
-
21
-
-
24644495883
-
Quantitative analysis of flow processes in a sand using synchrotron-based X-ray microtomography
-
D. Wildenschild, J. Hopmans, A. Kent, and M. Rivers, Quantitative analysis of flow processes in a sand using synchrotron-based X-ray microtomography, Vadose Zone J. 4 (2005), pp. 112-126.
-
Vadose Zone J
, vol.4
, Issue.2005
, pp. 112-126
-
-
Wildenschild, D.1
Hopmans, J.2
Kent, A.3
Rivers, M.4
-
22
-
-
0035109062
-
Flow rate dependence of soil hydraulic characteristics
-
D. Wildenschild, J.W. Hopmanns, and J. Simunek, Flow rate dependence of soil hydraulic characteristics, Soil Sci. Soc. Am. J. 65 (2001), pp. 35-48.
-
Soil Sci. Soc. Am. J
, vol.65
, Issue.2001
, pp. 35-48
-
-
Wildenschild, D.1
Hopmanns, J.W.2
Simunek, J.3
-
23
-
-
0032446093
-
Effective two-phase flow through highly heterogeneous porous media: Capillary nonequilibrium effects
-
A. Bourgeat and M. Panfilov, Effective two-phase flow through highly heterogeneous porous media: Capillary nonequilibrium effects, Comput. Geosci. 2 (1998), pp. 191-215.
-
Comput. Geosci
, vol.2
, Issue.1998
, pp. 191-215
-
-
Bourgeat, A.1
Panfilov, M.2
-
24
-
-
56649088279
-
Numerical methods for unsaturated flow with dynamic capillary pressure in heterogeneous porous media
-
M. Peszyńska and S.Y. Yi, Numerical methods for unsaturated flow with dynamic capillary pressure in heterogeneous porous media, Int. J. Numer. Anal. Model. 5 (2008), pp. 126-149.
-
Int. J. Numer. Anal. Model
, vol.5
, Issue.2008
, pp. 126-149
-
-
Peszyńska, M.1
Yi, S.Y.2
-
25
-
-
83455218430
-
Dynamic effect in the capillary pressure saturation relationship and its impacts on unsaturated flow
-
S.M. Hassanizadeh, M. Celia, and H. Dahle, Dynamic effect in the capillary pressure saturation relationship and its impacts on unsaturated flow, Vadose Zone J. 1 (2002), pp. 38-57.
-
Vadose Zone J
, vol.1
, Issue.2002
, pp. 38-57
-
-
Hassanizadeh, S.M.1
Celia, M.2
Dahle, H.3
-
26
-
-
33846650565
-
Diffusion in fissured media
-
M. Böhm and R.E. Showalter, Diffusion in fissured media, SIAM J. Math. Anal. 16 (1985), pp. 500-509.
-
SIAM J. Math. Anal
, vol.16
, Issue.1985
, pp. 500-509
-
-
Böhm, M.1
Showalter, R.E.2
-
27
-
-
0016028311
-
Degenerate evolution equations and applications
-
R.E. Showalter, Degenerate evolution equations and applications, Indiana Univ. Math. J. 23 (1973/74), pp. 655-677.
-
Indiana Univ. Math. J
, vol.23
, Issue.1973-1974
, pp. 655-677
-
-
Showalter, R.E.1
-
28
-
-
0004028758
-
-
Pitman, London
-
R.E. Showalter, Hilbert space methods for partial differential equations, in Monographs and Studies in Mathematics, Vol. 1, Pitman, London, 1977.
-
(1977)
Hilbert Space Methods for Partial Differential Equations, in Monographs and Studies in Mathematics
, vol.1
-
-
Showalter, R.E.1
-
29
-
-
0005287618
-
-
American Mathematical Society, Providence, RI
-
R.E. Showalter, Monotone operators in Banach space and nonlinear partial differential equations, in Mathematical Surveys and Monographs, Vol. 49, American Mathematical Society, Providence, RI, 1997.
-
(1997)
Monotone Operators in Banach Space and Nonlinear Partial Differential Equations, in Mathematical Surveys and Monographs
, vol.49
-
-
Showalter, R.E.1
-
30
-
-
70449100579
-
-
North-Holland Publishing Co., Amsterdam
-
A. Bensoussan, J.L. Lions, and G. Papanicolaou, Asymptotic analysis for periodic structures, in Studies in Mathematics and its Applications, Vol. 5, North-Holland Publishing Co., Amsterdam, 1978.
-
(1978)
Asymptotic Analysis for Periodic Structures, in Studies in Mathematics and its Applications
, vol.5
-
-
Bensoussan, A.1
Lions, J.L.2
Papanicolaou, G.3
-
32
-
-
0004080182
-
-
Springer-Verlag, Berlin
-
V.V. Jikov, S.M. Kozlov, and O.A. Oleinik, Homogenization of Differential Operators and Integral Functionals, Springer-Verlag, Berlin, 1994.
-
(1994)
Homogenization of Differential Operators and Integral Functionals
-
-
Jikov, V.V.1
Kozlov, S.M.2
Oleinik, O.A.3
-
33
-
-
0003491623
-
-
Academic Press, New York-London
-
R.A. Adams, Sobolev spaces, in Pure and Applied Mathematics, Vol. 65, Academic Press, New York-London, 1975.
-
(1975)
Sobolev spaces, in Pure and Applied Mathematics
, vol.65
-
-
Adams, R.A.1
-
34
-
-
0001085153
-
Derivation of the double porosity model of single phase flow via homogenization theory
-
T. Arbogast, J. Douglas Jr, and U. Hornung, Derivation of the double porosity model of single phase flow via homogenization theory, SIAM J. Math. Anal. 21 (1990), pp. 823-836.
-
SIAM J. Math. Anal
, vol.21
, Issue.1990
, pp. 823-836
-
-
Arbogast, T.1
Douglas Jr., J.2
Hornung, U.3
-
35
-
-
21144473666
-
Homogenization and two-scale convergence
-
G. Allaire, Homogenization and two-scale convergence, SIAM J. Math. Anal. 23 (1992), pp. 1482-1518.
-
SIAM J. Math. Anal
, vol.23
, Issue.1992
, pp. 1482-1518
-
-
Allaire, G.1
-
36
-
-
0002993483
-
Two-scale convergence of a model for flow in a partially fissured medium
-
G.W. Clark and R.E. Showalter, Two-scale convergence of a model for flow in a partially fissured medium, Electron. J. Differ. Equ. 1999(2) (1999), pp. 1-20.
-
(1999)
Electron. J. Differ. Equ
, vol.1999
, Issue.2
, pp. 1-20
-
-
Clark, G.W.1
Showalter, R.E.2
-
37
-
-
84972505066
-
On a model of nonisothermal flow through fissured media
-
M. Peszyńska, On a model of nonisothermal flow through fissured media, Differ. Integral Equ. 8 (1995), pp. 1497-1516.
-
Differ. Integral Equ
, vol.8
, Issue.1995
, pp. 1497-1516
-
-
Peszyńska, M.1
-
38
-
-
0002469298
-
-
Academic Press, London, Chapter VII
-
J. Douglas Jr and T. Arbogast, Dual porosity models for flow in naturally fractured reservoirs, in Dynamics of Fluids in Hierarchical Porous Media, Academic Press, London, 1990, pp. 177-220, Chapter VII.
-
(1990)
Dual Porosity Models for Flow in Naturally Fractured Reservoirs, in Dynamics of Fluids in Hierarchical Porous Media
, pp. 177-220
-
-
Douglas Jr., J.1
Arbogast, T.2
-
39
-
-
38149024039
-
Effective equations for two-phase flow in porous media: The effect of trapping on the microscale
-
C.J. van Duijn, H. Eichel, R. Helmig, and I.S. Pop, Effective equations for two-phase flow in porous media: The effect of trapping on the microscale, Transp. Porous Media 69 (2007), pp. 411-428.
-
Transp. Porous Media
, vol.69
, Issue.2007
, pp. 411-428
-
-
van Duijn, C.J.1
Eichel, H.2
Helmig, R.3
Pop, I.S.4
|