2023
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Definitely not a circle: on the variability of the zone of influence
in porous media flows
J. Eng. Math. 142 3, with M Boham
journal entry
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This version of the article has been accepted for publication, after
peer review, but is not the Version of Record and does not reflect
post-acceptance improvements, or any corrections.
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Effects of anisotropy in tridimensional diffusion: flow patterns and
transport efficiency
SIAM J. Appl. Math.
83 (2) 460—483, with P Awasthi and M Kumar
journal entry
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Separable solutions to non-linear anisotropic diffusion equation in
elliptic coordinates
Phil. Trans. R. Soc. A
381 20220077, with K Tretiakova
journal entry
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2022
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Effects of turbulence at the ingress into landfill gas wells
J. Eng. Math
135 7, with A Baral and M Sepehri
journal entry
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2021
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Asymptotic analysis of unsteady ideal gas flow through layered porous
media
Transp. Porous Media 139 (2)
397—417, with S Keenan
journal entry
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This is a post-peer-review, pre-copyedit version of an article published
in TIPM.
The final authenticated version is available online at
https://rdcu.be/cwbV9 .
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Singularities in weakly compressible flow through a porous medium
Fluid Dyn. Res. 53 (4) 045507
journal entry
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Landfill gas flow — effects of asymmetry
J. Solid Waste Technol. Manage. 47 (1)
188—203 with S Keenan and G Huculak
journal entry
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2020
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Exact solutions to steady radial flow in a porous medium with
variable permeability
Phys. Fluids 32 077108
with G Huculak
journal entry
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2019
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Landfill gas flow: collection by horizontal wells
Transp. Porous Media 130 (3) 769—797
with G Huculak
journal entry
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This is a post-peer-review, pre-copyedit version of an article published
in TIPM.
The final authenticated version is available online
https://rdcu.be/bR6DH .
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On accuracy of numerical solution to boundary value problems on
infinite domains with slow decay
Math. Model. Nat. Phenom. 14 (5) 503
with K Booker
journal entry
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Horizontal landfill gas wells: geometry, physics of flow and
connection with the atmosphere
Phys. Chem. Earth 113 50—62
with D Halvorsen and G Huculak
journal entry
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2018
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Spike solutions in Gierer-Meinhardt model with a time
dependent anomaly exponent
Commun. Nonlinear Sci. Numer. Simulat. 54 267—285
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Dynamics of pulse solutions in Gierer-Meinhardt model with time
dependent diffusivity
J. Math. Anal. Appl. 457 585—615
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2017
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Transitions in asymmetric spike patterns with anomalous
diffusion
Math. Model. Nat. Phenom. 12(6) 144—170
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Solution of weakly compressible isothermal flow in landfill gas
collection networks
Fluid Dyn. Res. 49 065505
with G Huculak
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Modelling and optimization of a wellhead gas flowmeter using
concentric pipes
Eng. Optim. 49(9) 1633—1644
with G Huculak
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2016
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Explicitly solvable eigenvalue problem and bifurcation delay in
sub-diffusive Gierer-Meinhardt model
Euro. J. Appl. Math. 27(5) 699—725
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2015
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On the problem of a vertical gas flow through an orifice with
non-standard pressure tappings locations
Can. J. Civ. Eng. 42 563—569
with G Huculak
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2013
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The stability of localized spikes for the 1-D Brusselator
reaction — diffusion model
Europ. J. Appl. Math. 24 515—564
with J Tzou and M Ward
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An explicitly solvable nonlocal eigenvalue problem and the stability
of a spike for a sub-diffusive reaction — diffusion system
Math. Model. Nat. Phenom. 8(2) 55—87
with M Ward
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The stability and slow dynamics of two-spike patterns for a class of
reaction — diffusion system
Math. Model. Nat. Phenom. 8(5) 206—232
with M Ward
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Fronts in anomalous diffusion — reaction systems
Phi. Trans. R. Soc. A 371 20120179
with V Volpert and A Nepomnyashchy
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2012
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Spike-type solutions to one dimensional Gierer-Meinhardt
model with Lévy flights
Stud. Appl. Math. 129 272—299
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Dynamics and stability of spike-type solutions to a one dimensional
Gierer-Meinhardt model with sub-diffusion
Physica D 241 947—963
with M Ward
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2010
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Front propagation problems with sub-diffusion
Discrete Contin. Dyn. Syst. 27 827—846
with V Volpert and A Nepomnyashchy
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Exact solutions in front propagation problems with
super-diffusion
Physica D 239 134—144
with V Volpert and A Nepomnyashchy
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2008
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Front-type solutions of fractional Allen - Cahn equation
Physica D 237 3237—3251
with A Nepomnyashchy and A Golovin
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Amplitude equations for a sub-diffusive reaction — diffusion
system
J. Phys. A: Math. Theor. 41 385101
with A Nepomnyashchy
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Weakly non-linear dynamics in reaction — diffusion systems with
Lévy flights
Phys. Scr. T132 014043
with A Nepomnyashchy and A Golovin
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Oscillatory instability in super-diffusive reaction — diffusion
systems: fractional amplitude and phase diffusion equations
Europhys. Lett. 82 58003
with A Nepomnyashchy and A Golovin
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Turing instability of anomalous reaction — anomalous
diffusion systems
Europ. J. Appl. Math. 19 329—349
with A Nepomnyashchy
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2007
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Fractional amplitude and phase dynamics in super-diffusive
reaction — diffusion systems
PAMM - Proc. Appl. Math. Mech. 7 2040025—2040026
with A Nepomnyashchy and A Golovin
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Turing instability in sub-diffusive reaction — diffusion
systems
J. Phys. A: Math. Theor. 40 14687—14702
with A Nepomnyashchy
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Linear stability of fractional reaction — diffusion systems
Math. Model. Nat. Phenom. 2(2) 77—105
with A Nepomnyashchy
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