Dr. Prabir Daripa

Department of Mathematics

Texas A&M University, USA

Associate Professor

Email: daripa@math.tamu.edu

Qualifications

1987  Postdoc., Comp. Math., Courant Inst., USA

1985  Ph.D., Fluid Mech., Brown University, USA

1983  M.Sc., Appl. Math., Brown University, USA

1982  M.Sc., Fluid Mech., Brown University, USA

Publications (Selected)

1. Stabilizing effect of Diffusion in Enhanced Oil Recovery and Three-Layer Hele-Shaw Flows with Viscosity Gradient, Transport in Porous Media, 70, pp. 11-23, 2007. (with G. Pasa)
2. Fast Algorithms for PDEs in Simple and Complex Geometries, PAMM (Proc. Appl. Math. Mech.) 7, pp. 2020065-2020066 (2007). Link http://dx.doi.org/10.1002/pamm.200700443
3. Nonlinear Saffman-Taylor Instability For Hele-Shaw Flows, Journal of Differential Equations, 245(7), pp. 1819-1837, 2008. (with Hyung Ju Hwang) Link http://dx.doi.org/10.1016/j.jde.2008.07.012
4. On Capillary Slowdown of Viscous Fingering in Immiscible Displacement in Porous Media, Transport in Porous Media, Vol. 75(1), pp. 1-16, 2008. (with G. Pasa) Link http://dx.doi.org/10.1007/s11242-008-9211-2
5. Studies of Stability in Three-Layer Hele-Shaw Flows, Phys. Fluids, 20(11), Article No.112101. (11 Pages), 2008. Link http://dx.doi.org/10.1063/1.3021476
6. Hydrodynamic stability of multi-layer Hele-Shaw flows, Jour. Stat. Mech., Article No.P12005, 32 pages, Dec. 2008. Link http://dx.doi.org/10.1088/1742-5468/2008/12/P12005
7. The thickening effect of surfactants on the drag-out coating problem, Jour. Stat. Mech.,Article No. L07002, 10 pages, 2009. DOI:10.1088/1742-5468/2009/07/L07002 (with G. Pasa)
8. The effect of surfactant on the motion of long bubbles in horizontal capillary tubes, Jour. Stat. Mech., Article No. L02002, 12 pages, 2010. DOI: 10.1088/1742-5468/2010/02/L02002 (with G. Pasa)
9. On Diffusive Slowdown in Three-Layer Hele-Shaw Flows, Quart. Appl. Math., Vol. LXVIII, Number 3, September 2010, 591-606. (with G. Pasa)
10. Two stable methods with numerical experiments for solving the backward heat equation, Appl. Numer. Math., 61(2), pp. 266-284, 2011. http://dx.doi.org/10.1016/j.apnum.2010.09.006 (with Fabien Ternat and Oscar Orellana)
11. The effect of surfactant on long bubbles rising in vertical capillary tubes, Jour. Stat. Mech., Article No. L02003, Volume 2011, Issue 02, 14 pages, February 2011. DOI: 10.1088/1742-5468/2011/02/L02003 (with Gelu Pasa).
12. On estimates for short wave stability and long wave instability in 3-layer Hele-Shaw flows, Physica A: Statistical Mechanics and its Applications, 390(18-19), pp. 3069-3076, 2011.
13. On an inverse problem: the recovery of non-smooth solutions to a backward heat equation, Applied Mathematics Modelling, 2011. DOI: 10.1016/j.apm.2011.11.020 (with Fabien Ternat and Oscar Orellana)
14. A brief review of some application driven fast algorithms for elliptic partial differential equations, Cent. Eur. J. Math., 2012, 10(1), 204-216. DOI: 10.2478/s11533-011-0103-2