NCMW - Advanced topics in PDEs (2023)
Venue: Jaypee University of Information Technology, Solan
Dates: 15 May 2023 to 27 May 2023
Convener(s)
| Name: | Prof. Ujjwal Koley, Associate Professor |
Prof. Rakesh Kumar Bajaj, Professor & HOD |
Dr. Bidhan Chandra Sardar, Assistant Professor |
| Mailing Address: | TIFR Centre for Applicable Mathematics Sharada Nagar, Chikkabommasandra, Bengaluru, 560065 |
Department of Mathematics, Jaypee University of Information Technology Waknaghat, Solan, H.P - 173234 |
Department of Mathematics Indian Institute of Technology Ropar Rupnagar, Punjab - 140001 |
| Email: | ujjwal at math.tifrbng.res.in | rakesh.bajaj at juitsolan.in | bcsardar at iitrpr.ac.in |
This NCMW aims to introduce the participants to the advanced topics in Partial Differential Equations (PDEs). This will be indeed immensely helpful to the researchers who are already familiar with the basics of PDEs, since we are going to discuss several state-of-the art techniques related to Hyperbolic, Elliptic and Parabolic PDEs.
In the first week, we plan to discuss topics like BV compactness for scalar conservation laws, controllability of PDEs with their applications, and homogenization of elliptic PDEs.
At the end of the first week, we plan to focus more on compensated compactness method for scalar conservation laws, Caffarelli-Silvestre extension problems for fractional PDEs, and concentration compactness principle and their applications in the Sobolev embedding.