Convener(s)
| Name: | Dr. Manas Ranjan Sahoo |
Dr. Anupam Pal Choudhury |
| Mailing Address: | Associate Professor School of Mathematical Sciences National Institute of Science Education and Research, Bhubaneswar P.O. Jatni, Khurda, Odisha, 752050 |
Reader-F School of Mathematical Sciences National Institute of Science Education and Research, Bhubaneswar P.O. Jatni, Khurda, Odisha, 752050 |
| Email: | manas at niser.ac.in | anupampcmath at niser.ac.in |
Intended participants: II-V year Ph. D. students (outstation participants-35 and local participants-5)
Brief description about the school: The area of Hyperbolic Conservation Laws is an important branch of Partial Differential Equations that has a lot of physical applications, especially in the study of fluid dynamics. It is a relatively new branch that started with the work of E. Hoff and P. D. Lax around 1950, and since then, it has been growing extensively. The mathematics programs of most Indian Universities, however, do not include conservation laws in much detail. The aim of this school is to give comprehensive training in the mathematical theory of conservation laws to students of graduate programs. This instructional school will also give the participants a chance to interact with researchers working in this area.
We propose to run six courses (details can be found in the syllabus below) ranging from introductory to advanced-level modules that cover a wide range of topics, that any graduate student aspiring to work in this area is expected to know.
Dates:
Venue:
Venue Address:
National Institute of Science Education and Research Bhubaneswar
P.O. Jatni, Khurda 752050, Odisha, India
Venue State:
Venue City:
PIN:
Syllabus:
|
Name of the Speaker with affiliation |
No. of Lectures |
Detailed Syllabus |
|
T. Raja Shekhar IIT Kharagpur |
10 |
Method of characteristics applied to first-order linear, semilinear, and quasilinear equations, A brief introduction to the theory of distributions, Sobolev spaces, and functions of bounded variations |
|
Ujjwal Koley TIFR CAM, Bangalore |
10 |
The notion of hyperbolicity and examples, Nonlinear first order PDE. Hamilton-Jacobi equations and conservation laws: Notion of weak solutions, Lax-Oleinik formula, uniqueness, and entropy conditions |
|
Rajib Dutta IISER Kolkata |
10 |
Vanishing viscosity method, notion of Kruzhkov entropy solutions, travelling waves for scalar conservation laws. |
|
Manas Ranjan Sahoo NISER Bhubaneswar |
10 |
Wave front tracking method for scalar conservation laws and hyperbolic systems(with an emphasis on 2\times 2 system) |
|
Anupam Pal Choudhury NISER Bhubaneswar |
10 |
Diperna’s measure valued solutions. Initial-boundary value problems for scalar conservation laws and first order hyperbolic systems. |
|
Tanmay Sarkar IIT Jammu |
10 |
Numerical methods for hyperbolic conservation laws, Conservative methods, Lax-Wendroff theorem, Godunov’s method, Riemann’s solver and TVD methods. |
References:
-
Shock Waves and Reaction-Diffusion Equations: Joel Smoller
-
Hyperbolic Conservation laws in Continum Physics: Constantine M. Dafermos
-
Hyperbolic Systems of Conservation laws: Philippe G. LeFloch
-
Front Tracking for Hyperbolic Conservation Laws: Helge Holden and Nils Henrik Risebro
-
Partial Differential Equation: Lawrence C. Evans
Tutorial Assistants:
|
S. No. |
Name |
Affiliation |
|
1 |
Abhishek Das |
NISER, Bhubaneswar |
|
2 |
Abhrojyoti Sen |
IISER Pune |
|
3 |
Balakrishna Chhatria |
IIT Kharagpur |
|
4. |
Mukul Dwivedi |
IIT Jammu |
|
5. |
Anirban Das |
TIFR CAM |
|
6. |
Kanchan Dwivedi |
NIT Warangal |
Time Table:
Time-Table (with names of speakers and course associates/tutors):
| Day | Date | Lecture 1&2 (9.30–11.00) |
Tea (11.00 – 11.25) |
Tutorial (11.30–12.30) |
Lunch (12.30– 2.25) |
Lecture 3&4 (2.30– 4.00) |
Tea and Snacks (4.00 - 4.25) |
Tutorial (4.30-5.30) |
| (name of the speaker) | (name of the speaker + tutors) | (name of the speaker) | (name of the speaker + tutors) | |||||
| Mon | Week1 | TRS | TRS & BC | UK | UK & AD2 | |||
| Tues | TRS | TRS & BC | UK | UK & AD2 | ||||
| Wed | TRS | TRS & BC | UK | UK &AD 2 | ||||
| Thu | TRS | TRS & BC | UK | UK & AD2 | ||||
| Fri | TRS | TRS & BC | UK | UK&AD2 | ||||
| Sat | TRS | TRS & BC | UK | UK&AD2 | ||||
| Mon | Week2 | RD | RD & KD | MRS | MRS& AS | |||
| Tues | RD | RD & KD | MRS | MRS & AS | ||||
| Wed | RD | RD& KD | MRS | MRS & AS | ||||
| Thu | RD | RD & KD | MRS | MRS & AS | ||||
| Fri | RD | RD& KD | MRS | MRS & AS | ||||
| Sat | RD | RD& KD | MRS | MRS&AS | ||||
| Mon | Week3 | TS | TS& MD | APC | APC& AD1 | |||
| Tues | TS | TS& MD | APC | APC& AD1 | ||||
| Wed | TS | TS& MD | APC | APC& AD1 | ||||
| Thu | TS | TS& MD | APC | APC& AD1 | ||||
| Fri | TS | TS& MD | APC | APC& AD1 | ||||
| Sat | TS | TS& MD | APC | APC &AD1 |
TRS: T. Raja Shekhar BC: Balakrishna Chhatria
UK: Ujjwal Koley MD: Mukul Dwivedi
RD: Rajib Dutta AD2: Anirban Das
MRS: Manas Ranjan Sahoo KD: Kanchan Dwivedi
APC: Anupam Pal Choudhury
TS: Tanmay Sarkar
AD1: Abhishek Das
AS: Abhrojyoti Sen
Selected Applicants:
All the shortlisted applicants have been requested to confirm their participation through email to aishcl2024@niser.ac.in by 15.04.2024,failing which their selection will stand cancelled.
| Sr.n | SID | Full Name | Gender | Name of college/ University where employed/ studying | Position in College/ University | University/Institute M.Sc./ M.A. | Year of Passing M.Sc./ M.A | Ph.D. Degree Date |
| 1 | 54309 | Ms. Neelam | Female | National Institute of technology Warangal | PhD scholar | M.sc | 2020 | |
| 2 | 54329 | Mr. Sabarish Kumar | Male | Bharathiar University | MPhil Research Scholar | M.Sc MATHEMATICS CA | 2021 | |
| 3 | 54364 | Ms Sanjibanee | Female | Indian Institute of Petroleum and Energy | PhD | Utkal university | 2017 | |
| 4 | 54365 | Ms Sudipta | Female | Indian Institute of Petroleum and Energy | PhD | Veer Surendra Sai University Of Technology, Burla, Odisha | 2020 | |
| 5 | 54372 | Mrs Smriti | Female | National Institute of Technology Warangal | PhD | Bangalore University/Mount Carmel College Bangalore/MSc | 2017 | |
| 6 | 54408 | Mr. Abhishek | Male | NIT Warangal | PhD | National Institute Of Technology Warangal/M.sc Applied Mathematics | 2022 | |
| 7 | 54446 | Ms. Akshita | Female | Indian Institute of Technology Roorkee | PhD | Banaras Hindu University, M.sc. in mathematics and Computing | 2021 | |
| 8 | 54484 | Mr. Padhmanaban | Male | SRM Institute of science and Technology | PhD | Ramakrishna Mission Vivekananda College | 2022 | |
| 9 | 54488 | Ms. Nikshita | Female | Central University Of Rajasthan | Ph.D. | The Maharaja Sayajirao University Of Baroda | 2022 | |
| 10 | 54498 | Ms. Priyanka | Female | Dr. B R Ambedkar National Institute of Technology Jalandhar | PhD | M. Sc. | 2019 | |
| 11 | 54499 | Mr. Radhanandan | Male | Dr B R Ambedkar National Institute Of Technology | Junior Research Fellow | MSc | 2018 | |
| 12 | 54562 | Mr. Jatin | Male | Central University of Punjab | Research Scholar | Panjab University | 2019 | |
| 13 | 54563 | Mr. Masrakain | Male | Birla Institute of Technology And Science,Pilani,Rajasthan | PhD | University of Allahabad | 2019 | |
| 14 | 54565 | Mr. Subramanian | Male | INDIA | M.Sc Student | M.Sc Mathematics Ca | Awaiting Result | |
| 15 | 54722 | Mr. Akshay | Male | University of Hyderabad | Phd | Banaras Hindu University | 2017 | |
| 16 | 54795 | Ms. Urvashi | Female | IIT Roorkee | Ph.D. | NIT Surat | 2022 | |
| 17 | 54926 | Mr. Debendra Prasad | Male | BITS Pilani K K Birla Goa Campus | Ph.D. scholar | Berhampur University, Bhanja Bihar, Berhampur, Odisha | 2018 | |
| 18 | 54928 | Mr. Sandip | Male | Indian Institute of Technology, Indore | Ph.D Student | University of North Bengal | 2022 | |
| 19 | 54944 | Mr. Rakib | Male | Birla Institute of Technology & Science, Pilani, K. K. Birla Goa Campus | Ph.D | University of Calcutta, Ballygunge Science College | 2020 | |
| 20 | 54967 | Mr. Deepak | Male | IIT Indore | Ph.D. | IIT Bhilai | 2023 | |
| 21 | 54989 | Mr. Rajesh | Male | Rajiv Gandhi Institute of Petroleum Technology | PhD | NIT, Rourkela | 2019 | |
| 22 | 55033 | Mr Bikky | Male | Indian Institute of Technology Ropar | PHD | Indian Institute of Technology Delhi ,M.Sc | 2022 | |
| 23 | 55056 | Mr. Ashish Kumar | Male | Indian Institute of Technology Ropar | PhD | Banaras Hindu University, M.Sc. | 2022 | |
| 24 | 55095 | Mr Venkateshprasath | Male | Srm Institute Of Science And Technology | Phd | M.Sc | 2020 | |
| 25 | 55205 | Mr. Ashish | Male | Indian institute of technology indore | PhD | Doctor Harisingh gour vishwavidyalaya sagar (central university) | 2022 | |
| 26 | 55225 | Mr. Lilu | Male | IIT Kharagpur | PhD | Banaras Hindu University, M.Sc. | 2022 | |
| 27 | 55312 | Ms. Pragya | Female | University of Hyderabad | MSc student | University Of Hyderabad | 2024 | |
| 28 | 55337 | Dr. Kausika | Female | Bharathiar University (last place of study) | PI (last employed) | Bharathiar University | 2012 | 09/06/2023 |
| Local participants | ||||||||
| 1 | 54736 | Mr Suman | Male | NISER Bhubaneswar | PhD Student | University of Calcutta | 2018 | |
| 2 | 55122 | Mr Ajith Kumar | Male | National Institute of Science Education and Research, Bhubaneswar | Ph.D. Student | University of Madras | 2019 | |
| 3 | 55232 | Mr. Ravishankar Kapildev | Male | National Institute of Science Education and Research, Bhubaneshwar | Post Doctoral | Department of Mathematics, The Maharaja Sayajirao University of Baroda | 2016 | 28/04/2023 |
| 4 | 54783 | Ms Evana Islam | Female | IIT Bhubaneswar | PhD Student | Pondicherry University | 2019 | |
| 5 | 55642 | Mrs Naligeti | Female | National Institute of Science Education and Research | Int.MSc. Student | National Institute of Science Education and Research | ||
How to Reach:
TBA