Home Page of Sundar

Name: Padmanabhan Sundar

Position: Professor

Degree Credentials: Ph. D., Purdue University, 1985

Teaching Duties: Math 1553, Math 4056

Office Location and Phone:316, Lockett; 225-578-1611

E-mail Address: sundar at math.lsu.edu

Research interests: I am interested in probabilistic aspects of fluid dynamics and turbulence. I currently work on the Navier-Stokes equations in two-dimensions on a bounded domain for incompressible viscous fluid flow. Stationary measures, ergodic behavior, optimal time-average control, backward stochastic Navier-Stokes equations, and large deviation results for solutions of stochastic Navier-Stokes equations form a list of research problems that I have studied. My research interests include semimartingale theory, stochastic differential equations, martingale problems, interacting particle systems, and the large deviation principle.

Recent Publications:

  • Large deviations for the stochastic shell model of turbulence ; preprint, 24 pages, 2008 (submitted). (joint work with U. Manna and S.S. Sritharan)

  • Existence and Uniqueness of Solutions to the Backward 2D Stochastic Navier-Stokes Equations; preprint, Accepted for publication in Stochastic Processes and their Appl. (joint work with Hong Yin)

  • Adapted Solutions to the Backward Stochastic Navier-Stokes Equations in 3D; Infinite Dimensional Stochastic Analysis: In Honor of H.-H. Kuo ,World Scientific, 114-134, 2008. (joint work with Hong Yin)

  • Existence and Uniqueness of Solutions to the Backward Stochastic Lorenz System ; Comm. on Stoch. Analysis , 1, no. 3, 473-483, 2007. (joint work with Hong Yin)

  • Large Deviations for the Two-Dimensional Navier-Stokes Equations with Multiplicative Noise ; Stochastic Processes and their Appl., 116, 1636-1659, 2006. (joint work with S.S. Sritharan) | pdf

  • A note on the solution of a stochastic partial differential equation; Stochastic Analysis and Appl., 22, 923-938, 2004.

  • Two applications of reproducing kernel Hilbert spaces in stochastic analysis; Stochastics in Finite and Infinite Dimensions: In Honor of G. Kallianpur, ed. T. Hida et al., Trends in Mathematics Series, Birkhauser, 195-206, 2001. (joint work with T. Koski)

  • Comparison of solutions of stochastic equations and applications; Stochastic Anal. Appl., 18, 211-229, 2000. (joint work with G. Ferreyra)

  • Ergodic Control of Stochastic Navier-Stokes Equation; Nonlinear problems in Aviation and Aerospace, ed. S. Sivasundaram, Gordon Breach Publications, 213-221, 2000. (joint work with S.S. Sritharan)

  • Hilbert Space Valued Super Brownian Motion and Related Evolution Equations; J. of Appl. Math. and Optim., 41, 111-128, 2000. (joint work with G. Kallianpur)

  • Comparison of stochastic Volterra equations; Bernoulli, 6, 1001-1006, 2000.(joint work with G. Ferreyra)

  • Weak convergence of systems of interacting SDEs to the superprocess; J. of Appl. Math. and Optim., 41, 141-154, 2000. (joint work with A. Bose)

    • TEACHING MATERIALS - Fall 2008
    1. Mathematical Statistics (MATH 4056; MWF: 9:40-10:30, Lockett 285) :
    Math 4056 Course Page (pdf)

    2. Probability Theory (MATH 7360; MWF: 11:40-12:30, Coates 237) :
    Math 7360 Course Page (pdf)

    MSRI Information:
    MSRI Programs (jpg)

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