ATMW PDE and Mechanics (2016)
| Venue: Kerala School of Mathematics (KSOM) Kozhikode |
| Dates: 1st - 6th Feb, 2016 |
| Convener(s) | Speakers, Syllabus and Time table | Applicants/Participants |
| Name | Director |
Prof. Veerappa Gowda |
| Mailing Address | The Director, Kerala School of Mathematics Kunnamangalam, P.O, Kozhikode – 673571, Kerala |
TIFR Centre for Applicable Mathematics. Sharada Nagar, Chikkabommasandra. Behind Yelahanka New Town Bus Stand, Bangalore |
List of Speakers and topics covered :
1. Veerappa Gowda, TIFR-CAM, Bangalore.
Scalar conservation laws and Hamilton-Jacobi equations: Scalar conservation laws and its link with Hamilton-Jacobi equation, Legendre transform, Hopf-Lax formula, viscosity solutions. Lax-Oleinik formula for the solution of convex conservation laws and its long time behaviour.
2. Adimurthi, TIFR-CAM, Bangalore.
Existence and uniqueness of solutuion for scalar conservation laws: Weak solutions, entropy conditions, the viscous problem, Existence of an Entropy solution for scalar conservation laws. Uniqueness result.
3. K.T. Joseph, TIFR-CAM, Bangalore.
Systems of Conservation laws: Introduction to Riemann problem, Shocks and rarefaction, Entropy condition, General existence and uniqueness result for the Riemann problem for systems with the characteristics fields which are either linearly degenerate or genuinely nonlinear. Example: the p-system. Some results on different regularizations of the system, admissibility of discontinuous solutions and entropy conditions.
4. C. Praveen, TIFR-CAM, Bangalore.
Discontinuous Galerkin method for scalar and system of conservation laws: Basis functions, energy and entropy stability, TVD property and limiters, maximum principle satisfying schemes, time integration, numerical implementation.
5. Harish Kumar, IIT-Delhi.
Numerical approximation of scalar conservation laws: Consistency, stability and Lax-Wendroff theorem. Monotone schemes, Godunov, Enquist-Osher and Lax-Friedrichs schemes. Convergence of monotone schemes to entropy solutions. TVD schemes.
Time Table
|
Day |
Date |
Speaker 1 9-11:00 |
Tea 11-11:30 |
Speaker 2 11:30-1:00 |
Lunch 1-2:00 |
Speaker 3 2-3:30 |
Tea 3:30-4:00 |
Tutor 4-5:00 |
Tea 5-5:30 |
|
Mon |
1/2/16 |
VG |
- |
ADI |
- |
VG |
- |
ADI |
- |
|
Tue |
2/2/16 |
ADI |
- |
VG |
- |
ADI |
- |
VG |
- |
|
Wed |
3/2/16 |
VG |
- |
HK |
- |
ADI |
- |
HK |
- |
|
Thu |
4/2/16 |
KTJ |
- |
HK |
- |
CP |
- |
HK |
- |
|
Fri |
5/2/16 |
CP |
- |
KTJ |
- |
HK |
- |
CP |
- |
|
Sat |
6/2/16 |
KTJ |
- |
CP |
- |
KTJ |
- |
CP |
- |
• ADI-Adimurthi, TIFR-CAM, Bangalore.
• CP-C Praveen, TIFR-CAM, Bangalore.
• KTJ-K T Joseph, TIFR-CAM, Bangalore.
• VG-Veerappa Gowda, TIFR-CAM, Bangalore.
• HK-Harish Kumar, IIT Delhi.
| Actual Participants |
| Sr. | SID | Full Name | Gender | Affiliation | Position in College/ University | University/ Institute M.Sc./ M.A. | Year of Passing M.Sc./ M.A | Phd.deg. |
| 1 | 3511 | Mr. Jayesh Badwaik | Male | TIFR | Project Assistant | Tata Institute of Fundamental Research | 2015 | |
| 2 | 3617 | Dr Nagarajan Murugesan | Male | Nehru Institute Of Technology | Asst. Prof. | Bharathiar University | 2007 | 08/11/2014 |
| 3 | 4026 | Mr. Manish Singh | Male | TIFR ,Bangalore | research scholer | TIFR | 2014 | |
| 4 | 4383 | Mr Minhajul | Male | IIT Kharagpur | PhD Student | IIT Kharagpur | 2014 | |
| 5 | 4475 | Mr. Prashanta Garain | Male | Indian Institute of Technology Kanpur | PhD Student | IIT KANPUR | 2014 | |
| 6 | 4485 | Ms Sueet Millon Sahoo | Female | IIT KHARAGPUR | Ph.D. | NIT ROURKELA | 2012 | |
| 7 | 4627 | Dr. Tanmay Sarkar | Male | TIFR Centre for Applicable Mathematics | Post Doctoral Researcher | IIT Madras | 2009 | 09/15/2014 |
| 8 | 4644 | Mr Saurav Samantaray | Male | Indian Institute Of Science Education And Research, Thiruvananthapuram | PhD | Indian Institute Of Science Eduacation And Research, Thiruvananthapuram | 2015 | |
| 9 | 4750 | Mr. Indubaran Mandal | Male | IIT Kanpur | PhD | IIT KANPUR | 2014 | |
| 10 | 4768 | Ms Bijal Rohit Amlani | Female | Indian Institute Of Science Education And Research | Integrated PhD Student | 2015 | ||
| 11 | 4811 | Ms. Dhanya Varma V | Female | National Institute of Technology Calicut | PhD Scholar | Central University of Kerala | 2014 | |
| 12 | 4871 | Mr. Praveen Kumar Sahu | Male | Motilal Nehru National Institute of Technology Allahabad | PhD | Pt. R.S.S. Univ. Raipur (C.G.) | 2009 | |
| 13 | 5014 | Mr. Anoop Kumar | Male | IIT Ropar | Research Scholar | University of delhi , delhi | 2014 | |
| 14 | 5015 | Ms Vandita Sharma | Female | IIT Ropar | PhD Student | Guru Nanak Dev University,Amritsar | 2013 | |
| 15 | 5018 | Mr. Naveen Kumar Garg | Male | Indian Institute of Science | PhD | Panjab University | 2009 | |
| 16 | 5027 | Ms. Amandeep Kaur | Female | IIT ROPAR(Rupnagar) | PhD student | Central University Of Rajasthan Ajmer | 2014 | |
| 17 | 5028 | Ms. Tripti Midha | Female | IIT, ROPAR | PhD | M.sc mathematics Delhi university | 2014 |
How to reach
Kerala School of Mathematics (KSOM) is located at a distance of about 15 Kms from the city centre (train/bus stations) situated off the Kozhikode-Medical College-Kunnamangalam bus route.Prepaid auto counter is available at Railway Station itself
(Near 1st number Platform).