## Home Page of SundarName: Padmanabhan Sundar Position: ProfessorDegree Credentials: Ph. D., Purdue University.Office Location and Phone:316, Lockett; 225-578-1611E-mail Address: sundar at math.lsu.edu
Courses Taught: Spring 2017: Math 3355 (10:20 - 11:50 T Th in Lockett 112) Office Hours: M, W, Th.: 2:00 - 3:00
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, perturbation by fractional Brownian noise, 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 are based on the semimartingale theory, stochastic differential equations,
martingale problems, interacting particle systems, and the large deviations
principle.
Recent Publications:Books: Stochastic Analysis and Diffusion Processes written by
Gopinath Kallianpur and P. Sundar,
Oxford Graduate Texts in Mathematics 24, January 2014.
The book is available at Oxford University Press: http://ukcatalogue.oup.com/product/9780199657070.do Papers: Journal of Statistical Physics, accepted 2016 (joint work with S. Albeverio, B. Ruediger)
pdf
Random Operators and Stochastic Equations , 21, 135 - 158, 2013. (joint work with L. Fang and F. Viens)| pdf
Cerebrospinal Fluid: Functions, Composition and Disorders, Ed. V. Slavik and T. Dolezal, Nova Science Publishers, 107-121, 2012. (Joint work with Kalyan Raman) Communications on Stochastic Analysis , 6, 669-687, 2012. (joint work with Ming Tao)
Communications on Stochastic Analysis , {\bf 4}, 253-269, 2010.
Nonlinear Differential Equations and Applications ,16, 493-521, 2009. (joint work with U. Manna and S.S. Sritharan)
Stochastic Processes and their Appl., 119, 1216-1234, 2009. (joint work with Hong Yin)|pdf
Infinite Dimensional Stochastic Analysis: In Honor of H.-H. Kuo ,World Scientific, 114-134, 2008. (joint work with Hong Yin) Comm. on Stoch. Analysis , 1, no. 3, 473-483, 2007.
(joint work with Hong Yin)
Stochastic Processes and their Appl.,
116, 1636-1659, 2006. (joint work with S.S. Sritharan) | pdf Stochastic Analysis and Appl., 22, 923-938, 2004. 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)
Stochastic Anal. Appl., 18, 211-229, 2000. (joint work with
G. Ferreyra)
Nonlinear problems in Aviation and Aerospace, ed. S. Sivasundaram,
Gordon Breach Publications, 213-221, 2000. (joint work with S.S. Sritharan)
J. of Appl. Math. and Optim., 41, 111-128, 2000. (joint work
with G. Kallianpur) Bernoulli, 6,
1001-1006, 2000.(joint work with G. Ferreyra) J. of Appl. Math. and Optim., 41, 141-154, 2000.
(joint work with A. Bose)MSRI Information: The following are examples of links to other interesting pages: - LSU Mathematics Department
- Louisiana State University
- American Mathematical Society
- The Mathematical Association of America
- Math Info
- Bookstore
- World News
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