Publications on "Stability Studies, Study of Eigenvalue Problems, Numerical Analysis, Modeling, and Scientific Computation related to Hele-Shaw and Porous Media Flows"

  1. 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)

  2. 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)

  3. 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)

  4. 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)

  5. Studies on Dispersive Stabilization of Porous Media Flows,
    Phys. Fluids, 28, 082105, 2016; doi: 10.1063/1.4904983
    Paper
    (with Craig Gin)

  6. 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)

  7. 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)

  8. 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)

  9. 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)

  10. 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

  11. 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

  12. 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

  13. 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 

  14. 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

  15. 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.

  16. 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 

  17. 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

  18. On Diffusive Slowdown in Three-Layer Hele-Shaw Flows,
    Quart. Appl. Math., Vol. LXVIII, Number 3, September 2010, 591-606
    (with Gelu Pasa)
    Reprint 

  19. 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

  20. 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

  21. 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

  22. 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

  23. 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

  24. Stability Bounds for N-layer Hele-Shaw Flows,
    Proceedings of FICAMC (Fourth International Conference of Applied Mathematics and Computation), Plovdiv, Bulgaria, August, 2007.

  25. 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.

  26. 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

  27. Stability Analysis in Three-layer Hele-Shaw Problem,
    Proceedings of SICAM (Second International Conference of Applied Mathematics), Plovdiv, Bulgaria, August 11-18, 2005.

  28. 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

  29. 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

  30. 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

  31. 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
    Paper  Abstract

  32. 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

  33. 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.

  34. 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)