Abstract: 

consider a nonlocal coupled system of hyperbolic conservation laws with applications in crowd dynamics and traffic flow. The system is coupled through nonlocal terms in the convective part. We present finite volume approximations for this system and discuss some recent results on its well-posedness obtained through these approximations. Numerical experiments illustrating the findings will also be presented.

About the Speaker: 

Dr. Aekta Aggarwal is a faculty member in the area of Operations Management and Quantitative Techniques at IIM Indore. She holds a Ph.D. in Mathematics from the Tata Institute of Fundamental Research and specializes in Applied Mathematics. She has held a postdoctoral research position at INRIA, France. Her research interests include numerical algorithms for partial differential equations and applications of nonlocal hyperbolic conservation laws to crowd dynamics, traffic flow, opinion dynamics, and supply chain management. She also explores and teaches Quantum Computing for Business and Technology.