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source: International Centre for Theoretical Sciences 2013年7月22日PROGRAM LINK: http://www.icts.res.in/program/contro...

DATES: Monday 03 Dec, 2012 - Thursday 20 Dec, 2012

VENUE: School of Mathematics, Indian Institute of Science Education and Research, Thiruvananthapuram

Stochastic analysis and control of fluid flow problems have seen great mathematical advancement over past two decades. A vast number of physical and engineering systems are encompassed under various flow governing equations. Various applications lie in defense related problems, important one is aero-hydrodynamic drag reduction in aerial, surface and undersea vehicles. Other applications are in atmospheric and ocean data assimilation, plasma fusion and energy-environmental problems.

The aim of the school is to make students and researchers across various organizations working in fluid flow problems well acquainted with the basic and advanced topics in control of partial differential equations (PDEs) arising from fluid dynamics with special emphasis on Navier-Stokes equations in both deterministic and stochastic settings. In the first week, introductory topics from Navier-Stokes equations, stochastic analysis and control of PDEs will be introduced. This would help in building the background for the advanced topics to be covered later on. In the following two weeks, solvability, control and large deviations of Navier-Stokes equations in both deterministic and stochastic settings will be covered. Topics on stochastic Navier-Stokes equations and stochastic Landau-Lifschitz-Gilbert equation on manifolds will also be covered using tools from differential geometry and stochastic analysis.

The winter school will also comprise of one day discussion meeting where a number of Indian senior experts will be invited to present their recent works related to the theme of the school. The discussion meeting aims to overview open problems and possible pathways to tackle them. This would help to enhance research activity in this area within India with the help of foreign experts through collaborations and exchange programmes.

1 See Inaugural Programme 1:22:24

2 Ruediger - Stochastic Integration & SDEs 1:30:36

3 Nandakumaran - An Introduction to deterministic optimal control and controllability 1:01:31

4 Nandakumaran - An Introduction to deterministic optimal control and controllability 1:00:38

6 Adimurthi - Basics of functional analysis, Sobolev spaces 1:31:29

7 Ruediger - Stochastic Integration & SDEs 1:32:41

8 Nandakumaran - An Introduction to deterministic optimal control and controllability 49:41

9 Nandakumaran - An Introduction to deterministic optimal control and controllability 54:33

10 Tutorial by Adimurthi - Basics of functional analysis, Sobolev spaces 1:13:54

11 Adimurthi - Basics of functional analysis, Sobolev spaces 1:19:17

12 Ruediger - Stochastic Integration & SDEs 1:26:10

13 Nandakumaran - An Introduction to deterministic optimal control and controllability 1:06:52

14 Nandakumaran - An Introduction to deterministic optimal control and controllability 1:03:44

15 Tutorial by Adimurthi - Basics of functional analysis, Sobolev spaces 59:35

16 Shaiju - Deterministic viscosity solutions 1:30:49

17 Ruediger - Stochastic Integration & SDEs 1:26:52

18 Mrinal Ghosh - Controlled diusion processes 59:09

19 Mrinal Ghosh - Controlled di 1:07:03

20 Tutorial by Ruediger - Stochastic Integration & SDEs 1:02:44

21 Mrinal Ghosh - Controlled di 1:34:41

22 Shaiju - Deterministic viscosity solutions 1:24:16

23 Suresh K - Stochastic viscosity solutions 1:01:05

24 Ruediger - Stochastic Integration & SDEs 1:26:00

25 Tutorial by Ruediger - Stochastic Integration & SDEs 51:34

26 Sritharan - Introduction to deterministic and stochastic Navier-Stokes equations 1:25:52

27 Sritharan - Introduction to deterministic and stochastic Navier-Stokes equations 1:29:11

28 Adimurthi - Introduction to the semigroup theory 1:26:02

29 Sritharan - Stochastic Navier-Stokes equations - solvability & control 1:34:41

30 Raymond - Deterministic control in fluids 1:34:53

31 Suresh K - Stochastic viscosity solutions 1:31:51

32 Raymond - Deterministic control in fluids 1:35:10

33 Sritharan - Stochastic Navier-Stokes equations - solvability & control 1:31:49

34 Sundar - Invariant measures and ergodicity for stochastic Navier-Stokes equations 1:34:42

35 Participant Presentations 1:34:39

36 Raymond - Deterministic control in fluids 1:35:01

37 Sundar - Invariant measures and ergodicity for stochastic Navier-Stokes equations 1:34:42

38 Raymond - Deterministic control in fluids 1:32:59

39 Participant Presentations 1:07:24

40 - Raymond Deterministic control in fluids 1:35:07

41 Protas - Applications of optimization and control methods in uid mechanics 1:25:19

42 Prof. Mythily Ramaswamy 42:56

43 Prof. Vivek S Borkar 1:11:01

44 Prof. M Vanninathan 57:00

45 Prof. K Balachandran 49:54

46 Prof. Adimurthi 1:11:51

47 Prof. Raju K George 52:03

48 Tutorial Day 1:22:25

49 Tutorial Day 1:34:51

50 Tutorial Day 1:34:36

51 Tutorial Day 1:34:43

52 Brzezniak - Landau-Lifshitz-Gilbert equations 22:15

[deleted video]

54 Ravindran - Numerical Methods for Navier-Stokes Equations 1:34:33

55 Romito - Invariant measures and ergodicity for stochastic Navier- 1:34:33

57 Sundar - Invariant measures and ergodicity for stochastic Navier-Stokes equations 1:34:41

58 Ravindran - Numerical Methods for Navier-Stokes Equations 1:31:58

59 Brzezniak - Landau-Lifshitz-Gilbert equations 1:34:41

60 Sritharan - Stochastic Navier-Stokes equations - solvability & control 1:30:50

61 Ravindran - Numerical Methods for Navier-Stokes Equations 1:28:13

62 Romito - Invariant measures and ergodicity for stochastic Navier 1:32:04

63 Brzezniak - Landau-Lifshitz-Gilbert equations 1:34:41

64 Sritharan - Stochastic Navier-Stokes equations - solvability & control 1:26:28

65 Ravindran - Numerical Methods for Navier-Stokes Equations - Model Reduction 1:32:34

66 Romito - Invariant measures and ergodicity for stochastic Navier-Stokes equations 1:34:41

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