Nonlinear Transport and Computations

An animation showing a reacting front with solutal feedback propagating through a chain of convection rolls generated by Rayleigh-Bénard convection. From "Mukherjee and Paul, Phys. Rev. E, 2020".

Saikat Mukherjee, PhD

Postdoctoral scholar at University of Minnesota Twin Cities,
PhD in Engineering Mechanics from Virginia Tech, 2020.

Welcome to my research page on nonlinear transport and computations. I am interested in developing an understanding of the non-linear and non-equilibrium physical processes around us.

From atmospheric and geophysical scales to biological and cellular environments, material transport in a wide range of physical scales is aided by fascinating physical phenomena such as diffusion, reaction, fluid advection, dispersion, wave and front propagation. Often these processes can combine to aid transport such as a "reaction-advection-diffusion" front. The resulting process is nonlinear and can be modeled using partial differential equations. Through my research I broadly attempt to quantify material transport across different physical and biological scales. To this end, I use a combination of high-order numerical computations and theory to model transport.

Current research interests include autocatalytic front propagation, spiral-defect chaos, fluid mechanics, transport and reaction-diffusion processes in the brain and computing the dynamics of biofilms.

Keywords : Reaction-Advection-Diffusion, Fluid Mechanics, Pattern Formation, Chaos, Front