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.