3 papers
math.OC2024
Phase transition in a kinetic mean-field game model of inertial self-propelled agents
Piyush Grover, Mandy Huo
The framework of Mean-field Games (MFGs) is used for modelling the collective dynamics of large populations of non-cooperative decision-making agents. We formulate and analyze a ki…
physics.flu-dyn2023
Exploring regular and turbulent flow states in active nematic channel flow via Exact Coherent Structures and their invariant manifolds
Caleb G. Wagner, Rumayel H. Pallock, Michael M. Norton +2
This work is a unified study of stable and unstable steady states of 2D active nematic channel flow using the framework of Exact Coherent Structures (ECS). ECS are stationary, peri…
nlin.CD2022
Phase space analysis of nonlinear wave propagation in a bistable mechanical metamaterial with a defect
Mohammed A. Mohammed, Piyush Grover
We study the dynamics of solitary waves traveling in a one-dimensional chain of bistable elements in the presence of a local inhomogeneity (defect). Numerical simulations reveal th…