Research
Title : | Partial Regularity Via Asymptotic Analysis |
Area of research : | Mathematical Sciences |
Principal Investigator : | Dr. Ali Hyder, TIFR - Centre for Applicable Mathematics, Karnataka |
Timeline Start Year : | 2023 |
Timeline End Year : | 2025 |
Contact info : | hyder@tifrbng.res.in |
Equipments : | Laptop |
Details
Executive Summary : | The main goal of this project is to study partial regularity of stationary and stable solutions to the Gelfand-Liouville equation. Due to the presence of the exponential nonlinearity, the natural scale invariant energy is not monotone increasing. To overcome this difficulty we propose to study these problems by analyzing the behavior of solutions around singular points, and a blow-up arguments. This involves compactness properties for a family of solutions and understanding homogeneous solutions on the whole Euclidean space. |
Total Budget (INR): | 14,93,164 |
Organizations involved
Implementing Agency : | TIFR - Centre for Applicable Mathematics, Karnataka Funding Agency :Anusandhan National Rsearch Foundation (ANRF)/Science and Engineering Research Board (SERB) | Source:Science and Engineering Research Board (SERB), DST 2022-23 | |