Professor S.S. Sritharan
Ross Hall 206
University of Wyoming
Laramie, WY 82071-3036
307.766.4221 (voice)
307.766.6838 (fax)
sri@uwyo.edu

Education

Ph.D., University of Arizona, 1982
M.S., University of Washington, 1979
B.S., University of Sri Lanka, 1977

Controls, Stochastics & Fluids Forum

IIT-Mumbai Lecture Series

Math Finance Forum

Enhanced Oil Recovery Forum

RECENT DUTIES

2002-2006: Head, Department of Mathematics, University of Wyoming.

1999-2002: Head, Science & Technology Branch, U.S. Navy, San Diego, CA.

RECENT AWARDS

2007 College of Arts and Sciences Extraordinary Merit Award for Research.

RESEARCH INTERESTS

Mathematics: Partial Differential Equations, Functional Analysis, Stochastic Analysis

Applications: Fluid Dynamics, Control Theory, Financial Modeling.

REPRESENTATIVE PUBLICATIONS

"Large Deviations for the Stochastic Shell Model of Turbulence", Co-authors: Utpal Manna and P. Sundar, Submitted for publications. Click here for PDF format.

"Stochastic Analysis of Tidal Dynamics Equation", Co-authors: Utpal Manna and Jose-Luis Menaldi, 2007. To appear in INFINITE DIMENSIONAL STOCHASTIC ANALYSIS, Special Volume in honor of Professor H-H. Kuo, Edited by A. Sengupta and P. Sundar, World Scientific Publishers, 2008. Click here for PDF format.

"Lyapunov Proptery and Local Dissipativity of the Vorticity Equation in L^p and Besov spaces." Co-author Utpal Manna. Differential and Integral Equations, Vol. 20, No. 5, (2007), pp. 581-498. Click here for PDF format.

"Stochastic 2-D Navier-Stokes Equation with Artificial Compressibility”, co-authors U. Manna and J. L. Menaldi. Communication on Stochastic Analysis, Vol. 1, No. 1 (2007), pp. 123-139." Click here for PDF format.

“A Hyperbolic-Elliptic Type Conservation Law on Unit Sphere That Arises in Delta Wing Aerodynamics”, co-author J. Guan, International Journal of Contemporary Mathematical Sciences, Vol. 3, 2008, no.15, 721-737. Click here for PDF format.

"Large Deviations for Two Dimensional Navier-Stokes Equations with Multiplicative Noise", Co-author P. Sundar, Stochastic Processes & Their Applications Vol 116 (2006), pp. 1636-1659. Click here for PDF format.

"Exact Controllability of Nonlinear Diffusion Equations Arising in Reactor Dynamics", Co-authors K. Sakthivel and K. Balachandran, Accepted for publication in Nonlinear Analysis: Real World Applications, 2007. Click here for PDF format.

"Controllability & Observability Theory of Certain Parabolic Integro-Differential Equations", Co-authors K. Sakthivel and K. Balachandran, Computers and Mathematics with Applications, 52 (2006), 1299-1316. Click here for PDF format.

Stochastic Navier-Stokes Equation: Control and Filtering," S.S. Sritharan. Click here for PDF format, pp. 273-280. Stochastic Partial Differential Equations and Applications - VII, Edited by G. Da Prato and L. Tubaro, Chapman & Hall/CRC 2006.

"Local Controllability for the Magnetohydrodynamic Equations Revisited", Co-Authors V. Barbu, T. Havarneanu and C. Popa. Advances in Differential Equations, 10(5) (2005), 481-504. Click here for PDF format.

"Exact Controllability of Two-dimensional Navier-Stokes Equations with Navier-Slip Boundary Conditions," Co-authors T. Havarneanu and Catalin Popa. Systems and Control Letters, Vol 55, (2006), pp. 1022-1028. Click here for PDF format.

"Exact Internal Controllability for Two-dimensional Magnetohydrodynamic Equations," Co-authors T. Havarneanu and C. Popa. Accpeted for Publication in SIAM Journal of Control Optomization. Click here for PDF format.

"Exact Controllability for the Magnetohydrodynamic Equations in Multi-connected Domains," Co-authors T. Havarneanu and C. Popa, Advances in Differential Equations, Vol. 11, No. 8, (2006), pp. 893-929. Click here for PDF format.

"Optimal Stopping-Time Problem for Stochastic Navier-Stokes Equations and Infinite-Dimensional Variational Inequalities," Co-author V.Barbu. Nonlinear Analysis Series A: Theory, Methods and Applications. Vol. 64, (2006), 1018-1024. Click here for PDF format.

"Exact Controllability of the three dimensional Navier-Stokes equation with Navier-slip boundary conditions," Co-authors, T. Havarneanu and C. Popa; Indiana University Mathematical Journal. Vol. 54, No. 5, (2005), 1303-1350. Click here for PDF format.

"Bellman equations associated to the optimal feedback control of stochastic Navier-Stokes equations," Co-authors F.Gozzi and A. Swiech, Communications on Pure and Applied Mathematics 58(5), (2005), 671-700. Click here for PDF format.

"Navier-Stokes Equation with Hereditary Viscosity," Co-Author V. Barbu, ZAMP (Z. angew. Math. Phys.) 54(3) (2003), 449-461. Click here for PDF format.

"Exact controllability of magneto-hydrodynamic equations," Co-authors V. Barbu, C. Popa and T. Havarneanu. Communications on Pure and Applied Mathematics,
56 (6) (2003), 732-783. Click here for PDF format.

"Fluid-magnetic splitting methods for magneto-hydrodynamics," co-author C. Popa, Mathematical Models & Methods in Applied Sciences 13(6) (2003), 893-917.

"Impulse control of stochastic Navier-Stokes equations," J.L. Menaldi and S.S. Sritharan, Nonlinear Analysis: Theory, Methods & Applications 52(2) (2003), 357-381.

"Stochastic 2-D Navier-Stokes equation," Co-author J. L. Menaldi, Applied Mathematics and Optimization 46 (2002), pp. 31-53.

"Viscosity solutions of dynamic programming equations for optimal control of 2-D Navier-Stokes equations," co-authors F. Gozzi and A. Swiech, Archive for Rational Mechanics & Analysis, 163 (4) (2002), 295-327. Click here for PDF format.

"Flow Invariance Preserving Feedback Controllers for the Navier-Stokes Equation," Co-author V. Barbu, Journal of Mathematical Analysis & Applications, 255 (2001), 281-307.

"Deterministic and stochastic control of Navier-Stokes equations with linear, monotone and hyper viscosities," Applied Mathematics & Optimization, 41(2) (2000), 255-308.

"The stochastic magneto-hydrodynamic system," Co-author, P. Sundar, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2 (2) (1999), 241-265. Click here for PDF format.

"Optimal control problems with state constraints in fluid mechanics and combustion," Co-author H. O. Fattorini, Applied Mathematics and Optimization, 38(2) (1998), 159-192.

"H-infinity-control theory of fluid dynamics," Co-author, V. Barbu, Proceedings of The Royal Society of London, Series A, 356 (1979), (1998), 3009-3033.

"Nonlinear Filtering of Stochastic Reacting and Diffusing Systems," Co-author, S. Hobbs. In N. Gretsky, J. Goldstein and J. J. Uhl Editors, Probability and Modern Analysis, Marcel Dekker 1996.

"Nonlinear Filtering of Stochastic Navier-Stokes equations," In T. Funaki and W. A. Woyczynski, Editors, Nonlinear Stochastic PDEs:
Burgers Turbulence and Hydrodynamic Limit, Springer-Verlag, pp. 247-260,1995.

BOOKS

Book Authored: Invariant Manifold Theory for Hydrodynamic Transition, John Wiley and Sons, 1990.

Book Edited: Optimal Control of Viscous Flow, SIAM, 1998.

THESIS SUPERVISION

Doctoral Thesis Supervised

Y.R. Ou, 1988, PhD., Aerospace Engineering, University of Southern California, Thesis title: “Analysis of Hyperviscosity Regularized Navier-Stokes Equations”.

Utpal Manna, 2007, PhD., Mathematics, University of Wyoming, Thesis title: "Stochastic and Harmonic Analysis of Fluid Dynamics Models". http://personal-homepages.mis.mpg.de/manna/

Master's Thesis Supervised

J. Heisler, 1990, M.S., Applied Mathematics, University of Southern California. Thesis title: “Analysis of Viscous Flow Over Channels and Pipes with Porous Walls”.

Qingxia Li, 2005, MS., Mathematics, University of Wyoming, Thesis Title: "Some Harmonic Analysis Issues of Control Theory & Stochastic Analysis"

MS Research Plan-B Supervised

David Anton, 2007, MS (Plan-B), Mathematics, University of Wyoming, Report Title: "Computational Study of Stochastic Dynamical Systems".

Batmunkh Tsend-Ajush, 2006, MS (Plan-B), Mathematics, University of Wyoming, Report Title: Blow Up Studies for Nonlinear PDE's Using Computational Simulation.

Current Doctoral Students

Saikat Mukherjee: Hyperbolic System of Conservation Laws-Control & Stochastic Analysis

B. P. W. Fernando: Optimal Stopping, Impulse Controls and Free Boundary Problems in Math Finance

Meng Xu: Malliavin Calculus and Control Theory of Stochastic PDE with Applications to Non-Newtonian Fluid Dynamics

Sylvia Popa: Nonlinear Filtering Theory of Jump Processes with Applications to Math-Finance

Eric Quade: Stochastic Analysis and Control of Navier-Stokes Equations in Exterior Domains

Michael Presho (Jointly advised by Professor Victor Ginting): Computational and stochastic modeling of flow through porous media

Current Masters Students

Michael Henry (Stochastic Finance)

COURSES

Math 5400 Methods of Applied Mathematics I -Fall 2002

Math 5405 Methods of Applied Mathematics II-Spring 2003

Math 5440 - Partial Differential Equations II - Fall, 2003 (Powerpoint presentation)

Math 5490 - Introduction to Stochastic Processes - Spring, 2004 (Powerpoint presentation)

Math 5490 - Introduction to Deterministic and Stochastic Control Theory - Fall, 2004 (Powerpoint presentation)

Math 5400 Methods of Applied Mathematics I -Fall 2005

Math 5405 Methods of Applied Mathematics II-Spring 2006

Math 5490 Foundations of Stocastic Analysis for Applied & Pure Mathematicians - Fall 2006 (PDF)

Math 5440 Spring 2007 Partial Differential Equations-II