IST - Theoretical and Numerical aspects of PDEs: Application to Flow Dynamics (2026)

Venue: National Institute of Technology, Srinagar

Dates: 29 Jun 2026 to 11 Jul 2026

Convener(s)

Many physical phenomena and engineering problems are governed by Partial Differential Equations (PDEs). It is therefore important to understand the mathematical aspects of PDEs and their solution process. The theory of PDEs mainly deals with the existence and uniqueness of the solution and its stability and regularity. The solution process includes methodologies to find solutions, either in closed form or by an approximation. Proposed instructional school aims to provide the participants a taste of classical theory of second order PDEs and discuss various numerical techniques to solve the PDEs, in particular, finite difference methods and finite element methods. Furthermore, the school aims to introduce the topological aspect based structural bifurcation analysis to accurately find the location and time of occurrence of structural bifurcations (recirculation zones) for flow past bluff body problems. In this process, the numerical study of flow past bluff bodies and their vortex shedding phenomena will be discussed along with the structural bifurcation analysis. The topics in the school are designed in such way that the participants get exposure to topics in both classical and modern approaches in the theory and computation of PDEs and their applications to study complex fluid dynamics, which are also part of the curriculum in the universities and post graduate colleges.