Publications on "Stability Studies, Study of Eigenvalue Problems, Numerical Analysis, Modeling, and Scientific Computation related to Hele-Shaw and Porous Media Flows"
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Time-dependent injection strategies for multi-layer Hele-Shaw and porous media flows,
- Physical Review Fluids, Vol. 6, No. 3, Article No. 033901 (2021) DOI: 10.1103/PhysRevFluids.6.033901
- Paper
- (with Craig Gin)
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Stability Results on Radial Porous Media and Hele-Shaw Flows with Variable Viscosity between Two Moving Interfaces,
- IMA J. Appl. Math., 86(2), pp. 74-79, April 2021.
- Published March 18th, 2021.
- Paper
- (with Craig Gin)
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On the Convergence analysis of a hybrid method for multicomponent transport in porous media,
- Appl. Numer. Math., vol. 146, pages 199-220, 2019; doi:10.1016/j.apnum.2019.07.009
- Paper
- (with Sourav Dutta)
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Modeling and Simulation of Surfactant Polymer Flooding using a New Hybrid Method,
- J. Comp. Phys., 335, pp. 249-282, 2017; doi:10.1016/j.jcp.2017.01.038
- Preprint
- (with Sourav Dutta)
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Studies on Dispersive Stabilization of Porous Media Flows,
- Phys. Fluids, 28, 082105, 2016; doi: 10.1063/1.4904983
- Paper
- (with Craig Gin)
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On a three-layer Hele-Shaw model of enhanced oil recovery with a linear viscous profile,
- ArXiv:1502.00380v1, 15 pages, 2 February, 2015.
- Paper
- (with Oscar Orellana and Rodrigo Meneses)
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A Study of a Non-Standard Eigenvalue Problem and its Application to Three-Layer Immiscible Porous Media and Hele-Shaw Flows with Exponential Viscous Profile,
- Journal of Mathematical Fluid Mechanics, 17(1), pp 155-181 2015.
- http://dx.doi.org/10.1007/s00021-014-0196-z
- Paper
- (with Craig Gin)
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Stability Results for Multi-Layer Radial Hele-Shaw and Porous Media Flows,
- Physics of Fluids, 27, 012101 2014.
- http://dx.doi.org/10.1063/1.4904983
- Paper
- (with Craig Gin)
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Selection principle of optimal profiles for multi-layer Hele-Shaw flows and stabilization,
- Tran. Porous Media, 96(2), 353-367, 2013.
- doi:10.1007/s11242-012-0092-z
- Paper
- (with X. Ding)
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Fluid dynamical and modeling issues of chemical flooding for enhanced oil recovery,
- Proceedings of the 32nd ASME International Conference on Ocean, Offshore and Arctic Engineering,
Nantes, France, June 09-14, 2013.
- PDF FILE
- Article Number: V006T11A025
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Universal Stability Properties for Multi-Layer Hele-Shaw Flows and Application
to Instability Control,
- SIAM J. Appl. Math., Vol 72, No. 5, pp. 1667-1685, 2012.
- (with X. Ding)
- Paper
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On Stabilization of Multi-layer Hele-Shaw and Porous Media Flows in the Presence of
Gravity,
- Tran. Porous Media, 95(2), 349-371, 2012.
- DOI: 10.1007/s11242-012-0048-3
- Paper
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Some Useful Upper Bounds for the Selection of Optimal Profiles,
- Physica A: Statistical Mechanics and its Applications, 391 (2012) pp. 4065-4069.
- doi:10.1016/j.physa.2012.03.041
Journal site
- reprint
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A Numerical Study of Instability Control for the Design of an Optimal Policy
of Enhanced Oil Recovery by Tertiary Displacement Processes,
- Tran. Porous Media, 93(3), 675-703, 2012.
- DOI: 10.1007/s11242-012-9977-0
- (with X. Ding)
journal site
- Paper
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- Mathematical problems arising in chemical enhance oil recovery,
- Proceedings of 2011 HUIC – Hawaii University International Conferences
On Mathematics and Engineering,
Ala Moana Hotel, Honolulu Hawaii, USA, June 13 – 15, 2011.
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- On estimates for short wave stability and long wave instability in 3-layer Hele-Shaw flows,
- Physica A: Statistical Mechanics and its Applications, 390 (2011) pp. 3069-3076
- doi:10.1016/j.physa.2011.04.028
Journal reprint
- Preprint
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- Stability enhanced models of chemical enhanced oil recovery processes,
- Proceedings of 16th US National Congress of Theoretical and Applied Mechanics,
June 27 - July 2, 2010, State College, PA, US
- PDF FILE
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- On Diffusive Slowdown in Three-Layer Hele-Shaw Flows,
- Quart. Appl. Math., Vol. LXVIII, Number 3, September 2010, 591-606
- (with Gelu Pasa)
- Reprint
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Hydrodynamic Stability of Multi-Layer Hele-Shaw Flows
- J. Stat. Mech. 2008 (2008) 32 pages
- Article No. P12005
- 10.1088/1742-5468/2008/12/P12005
journal site
- Reprint
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Studies on Stability in Three-Layer Hele-Shaw Flows,
- Phys. Fluids, 20, Issue 11 (2008) 11 pages.
- Article No. 112101
- 10.1063/1.3021476
journal site
- Reprint
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On Capillary Slowdown of Viscous Fingering in Immiscible Displacement in Porous Media,
- Tran. Porous Media, 75, Issue 1 (2008) 1-16.
- 10.1007/s11242-008-9211-2
- (with G. Pasa)
journal site
- Paper
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Nonlinear instability of Hele-Shaw flows with smooth viscous profiles,
- Journal of Differential Equations, 245, Issue 7 (2008) 1819-1837.
- 10.1016/j.jde.2008.07.012
- (with Hyung Ju Hwang)
journal site
- Paper
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Stabilizing effect of Diffusion in Enhanced Oil Recovery and Three-Layer
Hele-Shaw Flows with Viscosity Gradient,
- Tran. Porous Media, 70, Issue 1 (2007) 11-23.
- 10.1007/s11242-007-9122-7
- (with G. Pasa)
journal site
- Paper
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- Stability Bounds for N-layer Hele-Shaw Flows,
- Proceedings of FICAMC (Fourth International Conference of Applied Mathematics and Computation),
Plovdiv, Bulgaria, August, 2007.
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- Nonlinear Stability of Hele-Shaw Flows with Smooth Viscous Profiles,
- Proceedings of FICAMC (Fourth International Conference of Applied Mathematics and Computation),
Plovdiv, Bulgaria, August, 2007.
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A simple derivation of an upper bound in the presence of viscosity gradient in three-layer Hele-Shaw flows,
- J. Stat. Mech., 2006 (2006) 11 pages, P01014,
- 10.1088/1742-5468/2006/01/P01014
- (with G. Pasa)
journal site
- Paper
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- Stability Analysis in Three-layer Hele-Shaw Problem,
- Proceedings of SICAM (Second International Conference of Applied Mathematics),
Plovdiv, Bulgaria, August 11-18, 2005.
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New bounds for stabilizing Hele-Shaw flows,
- Appl. Math. Lett., 18(11), pp. 1293-1303, 2005.
- (with G. Pasa)
- DOI: doi:10.1016/j.aml.2005.02.027
journal site
- Paper 
Abstract
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On the growth rate for three-layer Hele-Shaw flows: Variable and constant viscosity cases,
- Intl. J. Engg. Sci., 43(11-12), pp. 877-884, 2005.
- (with G. Pasa)
- doi:10.1016/j.ijengsci.2005.03.006
journal site
- Paper
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An optimal viscosity profile in enhanced oil recovery by polymer flooding,
- Intl. J. Engg. Sci., 42(19-20), pp. 2029-2039, 2004.
- (with G. Pasa)
- DOI:10.1016/j.ijengsci.2004.07.008
journal site
- Paper 
Abstract
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- Polymer Floods: A Case Study of Nonlinear Wave
Analysis And of Instability Control In Tertiary Oil Recovery,
- SIAM J. Appl. Math., 48, pp. 353-373, 1988.
- (with J. Glimm, B. Lindquist, O. McBryan)
- DOI: 10.1137/0148018
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Abstract
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- On The Simulation of Heterogeneous Petroleum Reservoirs,
- Numerical Simulation in Oil Recovery (Minneapolis, Minn., 1986),
IMA Vol. Math. Appl., 11, Springer, New York, pp. 89-103, 1988.
- (with J. Glimm, M. Maesumi, B. Lindquist, O. McBryan)
- PDF FILE
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- Instability and Its Control in Oil Recovery Problems,
- Proc. of 6th IMACS Int. Symp. on Computer Methods for Part. Diff. Eq.-VI,
ed. R. Vichnevetsky, Bethlehem PA., pp. 411-418, 1987.
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- Reservoir Simulation by the Method of Front Tracking,
- Proc. of the IFE/SSI seminar on Reservoir
Description and Simulation with Emphasis on EOR, Oslo, 18 pages,
Sept. 1986.
- (with J. Glimm, J. Grove, B. Lindquist, O. McBryan)