Reply [to “Comment on ‘Diffusion theory for transport in porous media: Transition-probability densities of diffusion processes corresponding to advection-dispersion equations’ by Eric M. LaBolle et al.”]

Advection Dispersion ◽

Comment on “Diffusion theory for transport in porous media: Transition-probability densities of diffusion processes corresponding to advection-dispersion equations” by Eric M. LaBolle et al.

Water Resources Research ◽

10.1029/1999wr900326 ◽

2000 ◽

Vol 36 (3) ◽

pp. 819-821 ◽

Cited By ~ 9

Author(s):

P. Ackerer ◽

R. Mose

Keyword(s):

Porous Media ◽

Diffusion Processes ◽

Diffusion Theory ◽

Transition Probability ◽

Dispersion Equations ◽

Advection Dispersion ◽

Diffusion theory for transport in porous media: Transition-probability densities of diffusion processes corresponding to advection-dispersion equations

Water Resources Research ◽

10.1029/98wr00319 ◽

1998 ◽

Vol 34 (7) ◽

pp. 1685-1693 ◽

Cited By ~ 57

Author(s):

Eric M. LaBolle ◽

Jeremy Quastel ◽

Graham E. Fogg

Keyword(s):

Porous Media ◽

Diffusion Processes ◽

Diffusion Theory ◽

Transition Probability ◽

Dispersion Equations ◽

Advection Dispersion ◽

NUMERICAL SOLUTIONS OF RIESZ FRACTIONAL DIFFUSION AND ADVECTION-DISPERSION EQUATIONS IN POROUS MEDIA USING ITERATIVE REPRODUCING KERNEL ALGORITHM

Journal of Porous Media ◽

10.1615/jpormedia.2020025011 ◽

2020 ◽

Vol 23 (8) ◽

pp. 783-804

Author(s):

Omar Abu Arqub ◽

Mohammed Al-Smadi

Keyword(s):

Porous Media ◽

Reproducing Kernel ◽

Numerical Solutions ◽

Fractional Diffusion ◽

Dispersion Equations ◽

Diagonal estimates of transition probability densities of certain degenerate diffusion processes

Journal of Functional Analysis ◽

10.1016/0022-1236(90)90141-7 ◽

1990 ◽

Vol 91 (2) ◽

pp. 221-236 ◽

Cited By ~ 3

Author(s):

Satoshi Takanobu

Keyword(s):

Diffusion Processes ◽

Transition Probability ◽

Degenerate Diffusion ◽

Some asymptotic estimates of transition probability densities for generalized diffusion processes with self-similar speed measures

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195170736 ◽

1990 ◽

Vol 26 (5) ◽

pp. 819-840 ◽

Cited By ~ 4

Author(s):

Takahiko Fujita

Keyword(s):

Diffusion Processes ◽

Transition Probability ◽

Asymptotic Estimates ◽

Probability Densities ◽

Self Similar

New Semi-Analytical Solutions for Advection–Dispersion Equations in Multilayer Porous Media

Transport in Porous Media ◽

10.1007/s11242-020-01468-z ◽

2020 ◽

Vol 135 (1) ◽

pp. 39-58

Author(s):

Elliot J. Carr

Keyword(s):

Porous Media ◽

Analytical Solutions ◽

Dispersion Equations ◽

Numerical Investigation of the Time Fractional Mobile-Immobile Advection-Dispersion Model Arising from Solute Transport in Porous Media

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-019-0635-x ◽

2019 ◽

Vol 5 (3) ◽

Cited By ~ 10

Author(s):

Ahmad Golbabai ◽

Omid Nikan ◽

Touraj Nikazad

Keyword(s):

Porous Media ◽

Solute Transport ◽

Numerical Investigation ◽

Dispersion Model ◽

On the asymptotic behaviors of transition probability densities of one-dimensional diffusion processes

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195190380 ◽

1976 ◽

Vol 12 (3) ◽

pp. 819-834 ◽

Cited By ~ 5

Author(s):

Matsuyo Tomisaki

Keyword(s):

Diffusion Processes ◽

Transition Probability ◽

Asymptotic Behaviors ◽

One Dimensional ◽

Dimensional Diffusion ◽

Comparison theorem and estimates for transition probability densities of diffusion processes

Probability Theory and Related Fields ◽

10.1007/s00440-003-0291-1 ◽

2003 ◽

Vol 127 (3) ◽

pp. 388-406 ◽

Cited By ~ 11

Author(s):

Zhongmin Qian ◽

Francesco Russo ◽

Weian Zheng

Keyword(s):

Comparison Theorem ◽

Diffusion Processes ◽

Transition Probability ◽

Generalized semi-analytical solution for coupled multispecies advection-dispersion equations in multilayer porous media

Applied Mathematical Modelling ◽

10.1016/j.apm.2021.01.013 ◽

2021 ◽

Vol 94 ◽

pp. 87-97

Author(s):

Elliot J. Carr

Keyword(s):

Porous Media ◽

Analytical Solution ◽

Dispersion Equations ◽