-
1
-
-
0029527343
-
Taylor dispersion in porous media: Analysis by multiple scale expansions
-
Auriault J.L., Adler P.M. Taylor dispersion in porous media: Analysis by multiple scale expansions. Advances in Water Resources. 18:1995;217-226.
-
(1995)
Advances in Water Resources
, vol.18
, pp. 217-226
-
-
Auriault, J.L.1
Adler, P.M.2
-
2
-
-
0001245194
-
Propagators in strong plasma turbulence
-
Birmingham T.J., Bornatici M. Propagators in strong plasma turbulence. Phys. Fluids. 14:1971;2239-2241.
-
(1971)
Phys. Fluids
, vol.14
, pp. 2239-2241
-
-
Birmingham, T.J.1
Bornatici, M.2
-
3
-
-
85162701862
-
On product integration
-
Birkhoff G. On product integration. J. Mathematics Phys. 16:1937;104-133.
-
(1937)
J. Mathematics Phys
, vol.16
, pp. 104-133
-
-
Birkhoff, G.1
-
6
-
-
0005423708
-
Eléments de comparaison entre la méthode d'homogénésation et la méthode prise de moyenne avec fermature
-
Bourgeat A., Quintard M., Whitaker S. Eléments de comparaison entre la méthode d'homogénésation et la méthode prise de moyenne avec fermature. CR Acad. Sci. Paris. 306(II):1988;463-466.
-
(1988)
CR Acad. Sci. Paris
, vol.306
, Issue.II
, pp. 463-466
-
-
Bourgeat, A.1
Quintard, M.2
Whitaker, S.3
-
7
-
-
0001781873
-
Dispersion resulting from flow through spatially periodic porous media
-
Brenner H. Dispersion resulting from flow through spatially periodic porous media. Phil. Trans. R. Soc. London Ser. A. 297:1980;81-133.
-
(1980)
Phil. Trans. R. Soc. London Ser. a
, vol.297
, pp. 81-133
-
-
Brenner, H.1
-
9
-
-
0030498418
-
Comparison of Eulerian to Lagrangian expected spatial moments for transport in heterogeneous porous media with deterministic linear nonequilibrium sorption
-
149
-
Cushman J.H., Hu B.X., Deng F.-W. Comparison of Eulerian to Lagrangian expected spatial moments for transport in heterogeneous porous media with deterministic linear nonequilibrium sorption. Chem. Eng. Comm. 148 149 150:1996;5-21.
-
(1996)
Chem. Eng. Comm.
, vol.148-150
, pp. 5-21
-
-
Cushman, J.H.1
Hu, B.X.2
Deng, F.-W.3
-
10
-
-
0027683759
-
Nonlocal dispersion in media with continuously evolving scales of heterogeneity
-
Cushman J.H., Ginn T.R. Nonlocal dispersion in media with continuously evolving scales of heterogeneity. Transport in Porous Media. 13:1993;123-138.
-
(1993)
Transport in Porous Media
, vol.13
, pp. 123-138
-
-
Cushman, J.H.1
Ginn, T.R.2
-
11
-
-
0003578218
-
-
(Ed.), Academic, San Diego, California
-
Cushman, J.H. (Ed.), Dynamics of Fluids in Hierarchical Porous Media, Academic, San Diego, California, 1990.
-
(1990)
Dynamics of Fluids in Hierarchical Porous Media
-
-
Cushman, J.H.1
-
12
-
-
0028410688
-
Transport of kinetically sorbing solute by steady random velocity in heterogeneous porous formations
-
Cvetkovic V., Dagan G. Transport of kinetically sorbing solute by steady random velocity in heterogeneous porous formations. J. Fluid Mech. 265:1994;189-215.
-
(1994)
J. Fluid Mech.
, vol.265
, pp. 189-215
-
-
Cvetkovic, V.1
Dagan, G.2
-
14
-
-
0023249063
-
Theory of solute transport by groundwater
-
Dagan G. Theory of solute transport by groundwater. Ann. Rev. Fluid Mech. 19:1987;183-215.
-
(1987)
Ann. Rev. Fluid Mech.
, vol.19
, pp. 183-215
-
-
Dagan, G.1
-
15
-
-
0021470157
-
Solute transport in heterogeneous porous formations
-
Dagan G. Solute transport in heterogeneous porous formations. J. Fluid Mech. 145:1984;151-177.
-
(1984)
J. Fluid Mech.
, vol.145
, pp. 151-177
-
-
Dagan, G.1
-
16
-
-
0030789676
-
The influence of pore-scale dispersion on concentration statistical moments in transport through heterogeneous aquifers
-
Dagan G., Fiori A. The influence of pore-scale dispersion on concentration statistical moments in transport through heterogeneous aquifers. Water Resour. Res. 33:1997;1595-1605.
-
(1997)
Water Resour. Res.
, vol.33
, pp. 1595-1605
-
-
Dagan, G.1
Fiori, A.2
-
17
-
-
0018654679
-
Solute dispersion in unsaturated heterogeneous soil at field scale, I, Theory
-
Dagan G., Bresler E. Solute dispersion in unsaturated heterogeneous soil at field scale, I, Theory. Soil Sci. Soc. Am. J. 43:1979;461-467.
-
(1979)
Soil Sci. Soc. Am. J.
, vol.43
, pp. 461-467
-
-
Dagan, G.1
Bresler, E.2
-
18
-
-
0003198301
-
Product Integration with Applications to Differential Equations
-
In: G.-C. Rota (Ed.), Addison-Wesley, Reading, MA
-
Dollard, J.D., Friedman, C.N. In: G.-C. Rota (Ed.), Product Integration with Applications to Differential Equations, Encyclopedia of Mathematics and Its Applications, Addison-Wesley, Reading, MA, 1979.
-
(1979)
Encyclopedia of Mathematics and Its Applications
-
-
Dollard, J.D.1
Friedman, C.N.2
-
19
-
-
36149017199
-
An operator calculus having applications in quantum electrodynamics
-
Feynman R.P. An operator calculus having applications in quantum electrodynamics. Physical Rev. 84:1951;108-128.
-
(1951)
Physical Rev.
, vol.84
, pp. 108-128
-
-
Feynman, R.P.1
-
20
-
-
34547361024
-
Space time approach to non-relativistic quantum mechanics
-
Feynman R.P. Space time approach to non-relativistic quantum mechanics. Rev. Modern Phys. 20:1948;367-387.
-
(1948)
Rev. Modern Phys.
, vol.20
, pp. 367-387
-
-
Feynman, R.P.1
-
22
-
-
0013579657
-
Theoretical analysis of long-time-tail observations by light scattering off of polystyrene spheres
-
Fox R.F. Theoretical analysis of long-time-tail observations by light scattering off of polystyrene spheres. Phys. Rev. A. 30:1984;2590-2596.
-
(1984)
Phys. Rev. a
, vol.30
, pp. 2590-2596
-
-
Fox, R.F.1
-
23
-
-
0013601226
-
Correlation time expansion for non-Markovian, Gaussian, stochastic processes
-
Fox R.F. Correlation time expansion for non-Markovian, Gaussian, stochastic processes. Physics Lett. 94A:1983;281-286.
-
(1983)
Physics Lett.
, vol.94
, pp. 281-286
-
-
Fox, R.F.1
-
24
-
-
36749105268
-
Critique of the generalized cumulant expansion method
-
Fox R.F. Critique of the generalized cumulant expansion method. J. Math. Phys. 17:1976;1148-1153.
-
(1976)
J. Math. Phys.
, vol.17
, pp. 1148-1153
-
-
Fox, R.F.1
-
25
-
-
36749117715
-
A generalized theory of multiplicative stochastic processes using cumulant techniques
-
Fox R.F. A generalized theory of multiplicative stochastic processes using cumulant techniques. J. Math. Phys. 16:1975;289-297.
-
(1975)
J. Math. Phys.
, vol.16
, pp. 289-297
-
-
Fox, R.F.1
-
26
-
-
0345141653
-
Application of cumulant techniques to multiplicative stochastic processes
-
Fox R.F. Application of cumulant techniques to multiplicative stochastic processes. J. Math. Phys. 15:1974;1479-1483.
-
(1974)
J. Math. Phys.
, vol.15
, pp. 1479-1483
-
-
Fox, R.F.1
-
28
-
-
0029507605
-
Stochastic-convective transport with nonlinear reaction: Biodegradation with microbial growth
-
Ginn T.R., Simmons C.S., Wood B.D. Stochastic-convective transport with nonlinear reaction: Biodegradation with microbial growth. Water Resour. Res. 31:1995;2689-2700.
-
(1995)
Water Resour. Res.
, vol.31
, pp. 2689-2700
-
-
Ginn, T.R.1
Simmons, C.S.2
Wood, B.D.3
-
31
-
-
0013726079
-
General conservation equations for multi-phase systems: 2. Mass, momenta, energy, and entropy equations
-
Hassanizadeh M., Gray W.G. General conservation equations for multi-phase systems: 2. Mass, momenta, energy, and entropy equations. Advances in Water Resources. 2:1979;191-203.
-
(1979)
Advances in Water Resources
, vol.2
, pp. 191-203
-
-
Hassanizadeh, M.1
Gray, W.G.2
-
32
-
-
0002424617
-
Statistical hydromechanics and functional calculus
-
Hopf E. Statistical hydromechanics and functional calculus. J. Rational Mechanics and Analysis. 1:1952;87-123.
-
(1952)
J. Rational Mechanics and Analysis
, vol.1
, pp. 87-123
-
-
Hopf, E.1
-
33
-
-
0026305561
-
A stochastic model of reactive solute transport with time-varying velocity in a heterogeneous aquifer
-
Kabala Z.J., Sposito G. A stochastic model of reactive solute transport with time-varying velocity in a heterogeneous aquifer. Water Resour. Res. 27:1991;341-350.
-
(1991)
Water Resour. Res.
, vol.27
, pp. 341-350
-
-
Kabala, Z.J.1
Sposito, G.2
-
35
-
-
0028667825
-
Transport in three-dimensionally heterogeneous aquifers, 1. Dynamics of concentration fluctuations
-
Kapoor V., Gelhar L.W. Transport in three-dimensionally heterogeneous aquifers, 1. Dynamics of concentration fluctuations. Water Resour. Res. 30:1994;1775-1788.
-
(1994)
Water Resour. Res.
, vol.30
, pp. 1775-1788
-
-
Kapoor, V.1
Gelhar, L.W.2
-
36
-
-
0029666660
-
On the stochastic theory of solute transport by unsteady and steady groundwater flow in heterogeneous aquifers
-
Kavvas M.L., Karakas A. On the stochastic theory of solute transport by unsteady and steady groundwater flow in heterogeneous aquifers. J. Hydrol. 179:1996;321-351.
-
(1996)
J. Hydrol.
, vol.179
, pp. 321-351
-
-
Kavvas, M.L.1
Karakas, A.2
-
37
-
-
64849113583
-
Generalized cumulant expansion method
-
Kubo R. Generalized cumulant expansion method. J. Phys. Soc. Japan. 17:1962;1100-1120.
-
(1962)
J. Phys. Soc. Japan
, vol.17
, pp. 1100-1120
-
-
Kubo, R.1
-
38
-
-
10044269204
-
Stochastic Liouville Equations
-
Kubo R. Stochastic Liouville Equations. J. Math. Phys. 4:1963;174-183.
-
(1963)
J. Math. Phys.
, vol.4
, pp. 174-183
-
-
Kubo, R.1
-
39
-
-
0004400861
-
Brownian motion of spins
-
Kubo R., Hashitsume N.J. Brownian motion of spins. Prog. Theor. Phys. 46(Suppl.):1970;210-220.
-
(1970)
Prog. Theor. Phys.
, vol.46
, Issue.SUPPL.
, pp. 210-220
-
-
Kubo, R.1
Hashitsume, N.J.2
-
40
-
-
0013601227
-
Multiplicative partial integration and the trotter product formula
-
Masani P. Multiplicative partial integration and the trotter product formula. Adv. Math. 40:1981;1-9.
-
(1981)
Adv. Math.
, vol.40
, pp. 1-9
-
-
Masani, P.1
-
41
-
-
0013607792
-
Multiplicative Riemann integration in normed rings
-
Masani P.R. Multiplicative Riemann integration in normed rings. Trans. Am. Math. Soc. 61:1947;147-192.
-
(1947)
Trans. Am. Math. Soc.
, vol.61
, pp. 147-192
-
-
Masani, P.R.1
-
42
-
-
0008508050
-
Dispersion, convection, and reaction in porous media
-
Mauri R. Dispersion, convection, and reaction in porous media. Phys. Fluids A. 3:1991;743-756.
-
(1991)
Phys. Fluids a
, vol.3
, pp. 743-756
-
-
Mauri, R.1
-
43
-
-
0027456208
-
Eulerian-Lagrangian theory of transport in space-time nonstationary velocity fields: Exact nonlocal formalism by conditional moments and weak approximation
-
Neuman S.P. Eulerian-Lagrangian theory of transport in space-time nonstationary velocity fields: Exact nonlocal formalism by conditional moments and weak approximation. Water Resour. Res. 29:1993;633-645.
-
(1993)
Water Resour. Res.
, vol.29
, pp. 633-645
-
-
Neuman, S.P.1
-
44
-
-
84945098599
-
A quasilinear theory of non-Fickian and Fickian subsurface dispersion, 1, Theoretical analysis with application to isotropic media
-
Neuman S.P., Zhang Y.-K. A quasilinear theory of non-Fickian and Fickian subsurface dispersion, 1, Theoretical analysis with application to isotropic media. Water Resour. Res. 26:1990;887-902.
-
(1990)
Water Resour. Res.
, vol.26
, pp. 887-902
-
-
Neuman, S.P.1
Zhang, Y.-K.2
-
46
-
-
0016442683
-
Dispersion by random fields
-
Phythian R. Dispersion by random fields. J. Fluid Mech. 67:1975;145-153.
-
(1975)
J. Fluid Mech.
, vol.67
, pp. 145-153
-
-
Phythian, R.1
-
47
-
-
0028669433
-
Convection, dispersion, and interfacial transport of contaminants: Homogeneous porous media
-
Quintard M., Whitaker S. Convection, dispersion, and interfacial transport of contaminants: Homogeneous porous media. Adv. Water Resour. 17:1994;221-239.
-
(1994)
Adv. Water Resour.
, vol.17
, pp. 221-239
-
-
Quintard, M.1
Whitaker, S.2
-
48
-
-
0027870936
-
Plume scale-dependent dispersion in heterogeneous aquifers, 1, Lagrangian analysis in a stratified aquifer
-
Rajaram H., Gelhar L.W. Plume scale-dependent dispersion in heterogeneous aquifers, 1, Lagrangian analysis in a stratified aquifer. Water Resour. Res. 29:1993;3249-3260.
-
(1993)
Water Resour. Res
, vol.29
, pp. 3249-3260
-
-
Rajaram, H.1
Gelhar, L.W.2
-
49
-
-
0344279259
-
-
Electric Power Research Institute, Palo Alto, CA, Tech. Rep. CS-2558 RP1406-1
-
Simmons, C.S. A stochastic-convective ensemble method for representing dispersive transport in groundwater, Electric Power Research Institute, Palo Alto, CA, Tech. Rep. CS-2558 RP1406-1, 1982a.
-
(1982)
A Stochastic-convective Ensemble Method for Representing Dispersive Transport in Groundwater
-
-
Simmons, C.S.1
-
50
-
-
0020333017
-
A stochastic-convective transport representation of dispersion in one-dimensional porous media systems
-
Simmons C.S. A stochastic-convective transport representation of dispersion in one-dimensional porous media systems. Water Resour. Res. 18:1982;1193-1214.
-
(1982)
Water Resour. Res.
, vol.18
, pp. 1193-1214
-
-
Simmons, C.S.1
-
51
-
-
0023428694
-
On the Dagan model of solute transport in groundwater: Foundational aspects
-
Sposito G., Barry D.A. On the Dagan model of solute transport in groundwater: foundational aspects. Water Resour. Res. 23:1987;1867-1875.
-
(1987)
Water Resour. Res.
, vol.23
, pp. 1867-1875
-
-
Sposito, G.1
Barry, D.A.2
-
52
-
-
84960552318
-
Diffusion by continuous movements
-
Taylor G.I. Diffusion by continuous movements. Proc. London Math. Soc. 2:1921;196-214.
-
(1921)
Proc. London Math. Soc.
, vol.2
, pp. 196-214
-
-
Taylor, G.I.1
-
53
-
-
27644476475
-
A cumulant expansion for stochastic linear differential equations. I.
-
van Kampen N.G. A cumulant expansion for stochastic linear differential equations. I. Physica. 74:1974;215-238.
-
(1974)
Physica
, vol.74
, pp. 215-238
-
-
Van Kampen, N.G.1
-
54
-
-
40549091061
-
Stochastic differential equations
-
van Kampen N.G. Stochastic differential equations. Phys. Rep. 24:1976;171-228.
-
(1976)
Phys. Rep.
, vol.24
, pp. 171-228
-
-
Van Kampen, N.G.1
-
56
-
-
0016899253
-
Lagrangian-Eulerian relation and the independence approximation
-
Weinstock J. Lagrangian-Eulerian relation and the independence approximation. Phys. Fluids. 19:1976;1702-1711.
-
(1976)
Phys. Fluids
, vol.19
, pp. 1702-1711
-
-
Weinstock, J.1
-
57
-
-
0021408616
-
A perturbation expansion for diffusion in a random velocity field
-
Winter C.L., Newman C.M., Neuman S.P. A perturbation expansion for diffusion in a random velocity field. SIAM J. Appl. Math. 44:1984;411-424.
-
(1984)
SIAM J. Appl. Math.
, vol.44
, pp. 411-424
-
-
Winter, C.L.1
Newman, C.M.2
Neuman, S.P.3
-
58
-
-
36749110849
-
A comparison of generalized cumulant and projection operator methods in spin-relation theory
-
Yoon B., Deutch J.M., Freed J.H. A comparison of generalized cumulant and projection operator methods in spin-relation theory. J. Chem. Phys. 62:1975;4687-4696.
-
(1975)
J. Chem. Phys.
, vol.62
, pp. 4687-4696
-
-
Yoon, B.1
Deutch, J.M.2
Freed, J.H.3
-
59
-
-
0002141572
-
The asymptotic scaling behavior of mixing induced by a random velocity field
-
Zhang Q. The asymptotic scaling behavior of mixing induced by a random velocity field. Adv. Applied Math. 16:1995;23-58.
-
(1995)
Adv. Applied Math.
, vol.16
, pp. 23-58
-
-
Zhang, Q.1
-
60
-
-
0031259737
-
Multi-length-scale theories for scale-up problem and renormalized perturbation expansion
-
Zhang Q. Multi-length-scale theories for scale-up problem and renormalized perturbation expansion. Adv. Water Resour. 20:1997;317-333.
-
(1997)
Adv. Water Resour.
, vol.20
, pp. 317-333
-
-
Zhang, Q.1
|