AIS Mechanics (2011)

Venue: School of Mathematics and Computer/Information Sciences University of Hyderabad
Dates: 5 Dec - 24 Dec, 2011

 

Convener(s) Speakers, Syllabus and Time table Applicants/Participants

 

School Convener(s)
Name Prof. V. D. Sharma Prof. T. Amaranath
Mailing Address IITB, Mumbai Dean,
School of Mathematics and Computer/Information Sciences University of Hyderabad
Central University P.O.
Prof. C.R.Rao Road
Gachibowli
Hyderabad – 500 046.

 

Speakers and Syllabus 

 Syllabus

Speaker

Lectures

Detailed Syllabus

. N. Mukunda

10

Newton’s equations, Lagrangian formulation, Hamiltonian formulation, Canonical transformations, Hamilton-Jacobi theory, symmetries, connections with group theory and differential geometry.

Ramakrishna
Ramaswamy

6

Modern developments in mechanics: Nonlinear dynamics,

KAM theory, Hamiltonian Chaos, dissipative Chaos, Lyapunov exponents

T. Amaranath

6

Derivation of Navier-Stokes equations, some exact solutions of
Navier-Stokes equations, theorems on vorticity and Kinetic energy.

V. D. Sharma

6

Scalar conservation laws, hyperbolic equations, weak solutions,
R-H conditions, entropy conditions, system of conservation laws,
hyperbolic systems, Euler’s equations in gasdynamics, genuine
nonlinearity.

B. Sri Padmavati

3

Stokes equations, Stokes law of drag, axisymmetric flows, non-
axisymmetric flows, some general solutions of Stokes equations.

R. Radha

3

Riemann invariants, simple wave solution, rarefaction waves,
shock waves, contact discontinuity, method of characteristics,
transport equations for weak discontinuities, singular surface theory, method of relatively undistorted waves.

  Names of guest speakers

1. A. Adimurthi, (TIFR Centre, Bangalore)  Conservation laws (3)

2.  S. Chaturvedi (UOH, School of Physics)  Phase space description of  Quantum systems  (1)

3. V. Gowda (TIFR, Bangalore) Hamilton-Jacobi equation (2)

4.  T. Kambe (Tokyo, Japan)

(a) From Mechanics to Fluid Dynamics of Euler and Lagrange (2)

(b) Three body and first mathematical theory of Chaos by Poincare (2)

First  three lectures : “Science History in Mechanics “,

--- from Integrable planetary motions

--- to  Chaos systems (non-integrable).

In the fourth lecture, he will talk about his recent work,

“A new  solution of Euler's equation  of motion with  helicity”

5. S. Kanmani, (IGCAR, Kalpakkam) Topological  entropy (2)

6. V. Kannan (UOH, Dept. of Math.  & Stat.)  Chaos. (Title : Three advantages of Chaos)  (1)

7.  A. K. Kapoor (UOH, School of Physics) Rigid body dynamics (3), Schroedinger route to Quantum mechanics(1)

8.  M. Lakshmanan (Bharathidasan University, Tiruchirapalli) Solitons (2)

9. K. P. N. Murty (UOH, School of Physics) Bernoulli and his work on Fluid Mechanics (1)

10. R. Simon, (IMSc, Chennai)  `State space in classical and quantum mechanics' (1)

11. V. Srinivasan (Madras University, Chennai) Small oscillations and group theory (4)

12. M. S. Sriram (Madras University, Chennai) Lyapunov exponents; dissipative chaos; strange attractors (2)

13. Prasenjit  Saha (University of Zurich, Switzerland)

(1)The Kepler problem with (a little bit of) general relativity.

(2)The expanding universe as a dynamical system.

(3) Hello World of mechanics

 Tentative New Time – Table *

 

First Week

 

Date

Lectures

 

Lectures

 

Tutorials/

Spl. Lectures

 

Tutorials/

Spl. Lectures

Discussion/

Tutorials

 

 

9.30 – 11.00

N. Mukunda

Tea Break 11.00 – 11.15

 

 

 

 

11.15 – 12.45

V.D.Sharma

Lunch Break 12.45 – 2.15

 

2.15 – 3.15

Tea Break 3.15 - 3.30

 

3.30 – 4.30

 

4:30 – 5:30

Mon 5

C.M.

F.M.

C.M. Tutorial

F.M. Tutorial

Discussion

Tue 6

C.M.

F.M.

C.M. Tutorial

F.M. Tutorial

Discussion

Wed 7

C.M.

F.M.

A.Adimurthi

C.M. Tutorial

Discussion

Thur 8

C.M

F.M.

A.Adimurthi

V.Gowda

Discussion

Fri 9

C.M

F.M.

M.Lakshmanan

M.Lakshmanan

V.Gowda

Sat 10

A.Adimurthi

F.M.

F.M.Tutorial

C..M. Tutorial

Discussion

 

Second Week

 

Date

Lectures

 

Lectures

 

Tutorials/

Spl. Lectures

 

Tutorials/

Spl. Lectures

 

Discussion/

Tutorials

 

 

9.30 – 11.00

T. Amaranath

 

Tea Break 11.00 – 11.15

 

 

 

11.15 – 2.45

B.Sri Padmavati

Lunch Break 12.45 – 2.15

 

2.15 – 3.15

Tea Break 3.15 - 3.30

 

3.30 – 4.30

 

4:30-5:30

Mon 12

F.M.

F.M.

V.Srinivasan

S.Chaturvedi

F.M.Tutorial

Tue 13

F.M.

F.M.

A.K.Kapoor

F.M. Tutorial

Discussion

Wed 14

F.M.

F.M.

V.Srinivasan

A.K.Kapoor

F.M Tutorial

Thur 15

F.M.

R.Radha

V.Srinivasan

T.Kambe

F.M.Tutorial

F.M.

Fri 16

F.M.

F.M.

T.Kambe

F.M. Tutorial

Discussion

Sat 17

F.M.

 

F.M.

 

V.Srinivasan

 

A.K.Kapoor

F.M.Tutorial

 

Third Week

 

Date

Lectures

 

Lectures

 

Tutorials/

Spl. Lectures

 

Tutorials/

Spl. Lectures

Discussion/

Tutorials

 

9.30 – 11.00

N. Mukunda

Tea Break 11.00 – 11.15

 

11.15 – 12.45

RamakrishnaRamaswamy

Lunch Break 12.45 – 2.15

 

2.15 – 3.15

Tea Break 3.15 - 3.30

 

3.30 – 4.30

 

4:30-5:30

Mon 19

C.M.

C.M.

S. Kanmani

R.Simon

P.Saha

Tue 20

C.M.

C.M.

A.K.Kapoor

P.SahaC.M.Tutorial

P.Saha C.M.Tutorial

Wed 21

C.M.

C.M.

S. Kanmani

T.Kambe

P.Saha

Thurs 22

C.M.

C.M.

M. S. Sriram

V.Kannan

C.M.Tutorial

Fri 23

C.M.

C.M.

M. S. Sriram

T.Kambe

C.M.Tutorial

Sat 24

KPN

C.M.

C.M. Tutorial

C..M. Tutorial

Discussion

 * Classical Mechanics = C.M. Fluid Dynamics = F.M.

Selected Applicants

List of selected candidates.

 

Sr. SID Full Name Gender Affiliation State Position University/
Institute
M.Sc./M.A.		 Year
of
Passing
1 94 Mr. Ramanababu Kaligatla Male Department of mathematics, IIT Madras.

TamilNadu

 Doctoral student (Ph.D) University of Hyderabad 2007
2 141 Mrs. Meera Vohra Female Netaji Subhas Institute of Technology Delhi Research Fellow/Guest Faculty University of Delhi 1993
3 147 Mr. Randheer Singh Male Netaji Subhas Institute of Technology Delhi Teaching-cum Research fellow C.C. S University, Meerut 2007
4 156 Ms. Monica Saxena Female Netaji Subhas Institute of Technology Delhi Teaching-cum-research fellow University of Delhi 2005
5 157 Dr.Mahabaleswar Ulavathi Shettar Male Government First Grade College for Women Karnataka Assistant Professor Gulbarga University 200
6 159 Mr.Mahesh K B Male GOVT. FIRST GRADE COLLEGE MANGALORE Karnataka ASST. PROFESSOR Gulbarga University 1995
7 163 Mr.K Bhargav Kumar Male Department of Mathematics and Statistics,
University of Hyderabad		 A.P Research Scholar University of Hyderabad 2011
8 169 Mr.Atul Kumar Srivastava Male Indian Institute of Technology, Roorkee Uttarakhand Research Associate Udai Pratap Autonomus college 2005
9 176 Mr.Veeraraghavan Piramanantham Male Bharathidasan University, TIruchirappalli Tamil Nadu Assistant Professor Manonmaniam Sundarnar University Tirunelveli 2003
10 177 Mrs. Ambika K Female University of Hyderabad Andhra pradesh Research Scholar University of Hyderabad 2008
11 179 Mr. Bibekananda Bira Male NIT, Rourkela Odisha Research Scholar K.K (A) College 2003
12 184 Dr.Krishna Basappa Chavaraddi Male Government First Grade College Karnataka Assistant Professor Karnatak University 2001
13 195 Mr.Jitendra Kumar Singh Male Indian School of Mines Jharkhand SRF DDU Gorakhpur University Gorakhpur 2004
14 201 Dr. Syeda Darakhshan Jabeen Female School of Applied Sciences, Haldia Institute of  Technology West Bengal Asst. Prof. in Mathematics Vidyasagar University, Midnapore 2003
15 231 Mr. Bipin Balaram Male NIT Calicut Kerala Research Scholar    
16 242 Ms. Banti Sen Female

Indian School of Mines

 Jharkhand Research Scholar Indian School of Mines 2006
17 246 Dr. Pato Kumari Female Dept.of Mathematics,
Jaypee Institue of Information Technology, Uttar Pradesh, India		 U.P. Lecturer Ranchi University 2005
18 248 Dr. Bharti Arora Female Shyam Lal College(Evening), University of Delhi Delhi Assistant Professor Guru Jambheshwar University, Hisar, Haryana 2005
19 254 Mrs. Kavitha Thirumalai Govindan Female R.V.College of Engineering,Bangalore Karnataka Asst.Professor Madura college 1996
20 266 Mr. Debajyoti Choudhuri Male University of Hyderabad A.P Research Scholar University of Hyderabad 2006
21 288 Dr. Hari Ponnamma Rani Female National Institute of Technology, Warangal A.P Assistant Professor Anna University, chennai 1995
22 291 Mr. Sivasamy Ramasamy Male Bharathiar University Tamilnadu A' Grade by NAAC Bharathiar University 2010
23 324 Mr. Prakash R Male R V College of Engineering Karnataka Assistant Professor Bangaluru University, Bangaluru. 1998
24 341 Mr. Jervis Rritesh Mendonca Male University of Hyderabad Andhra Pradesh MSc 1 year    
25 357 Dr. M Ponmurugan Male The Institute of Mathematical Sciences Tamilnadu Post Doctoral Fellow University of Madras 1998
26 367 Ms.Garima Mishra Female Motilal Nehru National Institute of Technology Uttar Pradesh Research Scholar and Project fellow IIT Guwahati 2010
27 373 Mr. Ram Soorat Male School Of Physics, University of Hyderabad A.P STUDENT M L K (PG) College  
28 374 Mr. Sravan Kumar Korumilli Male School Of Physics, University of Hyderabad A.P STUDENT University of Hyderabad 2011
29 375 Ms. Naga Deepthi K Female School Of Physics, University of Hyderabad A.P Ph.D University of Hyderabad 2009
30 376 Mr. Sirajudheen K K Male School Of Physics, University of Hyderabad A.P M.SC University of Hyderabad 2011
31 377 Mr. Ravikanth Varma Male School of Hyderabad,University of Hyderabad A.P Ph.D Bundelkhand University 2009
32 382 Dr. Akavaram Venkata Lakshmi Female PG College Seccunderabad,Osmania University A.P Asst. Professor NIT,Warangal 1995
33 384 Mr. Anand Kumar Male Department of Mathematics, Central University of Rajasthan Rajasthan Asst. Professor Banaras Hindu University, Varanasi 2007

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