Publications related to Stabilization of Multilayer Hele-Shaw and Porous Media Flows"

1. 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

2. 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

3. 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 

4. 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

5. 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 

6. 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

7. 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

8. 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)

9. 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)

10. 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)

11. Studies on Dispersive Stabilization of Porous Media Flows,
    Phys. Fluids, 28, 082105, 2016; doi: 10.1063/1.4961162
    Paper
    (with Craig Gin)

12. 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)

13. Time-dependent injection rates and linearized interfacial motion in multi-layer Hele-Shaw and porous media flows,
    Submitted, 31 pages, 2017.
    (with Craig Gin)

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

15. 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

16. 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

17. 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

18. 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

19. 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