Department of Mathematics,
University of California, Riverside
Dr. Potomkin’s principal area of research is modeling, analysis and numerical simulation of problems involving differential equations (ordinary, stochastic and partial differential equations). His primary interest is on problems arising in Mathematical Biology and Soft Matter Physics. His recent work has been mostly devoted to active matter, with the focus on suspensions of micro-swimmers exhibiting autonomous directed motion, such as bacteria, motile spermatozoa, or bio-mimetic chemically driven particles. His research results include development and multi-scale analysis of the hierarchy of kinetic models capturing dynamics of confined suspensions, estimation of impact of micro-swimmers’ activity on macroscale properties of suspensions, as well as continuum approximations to systems of correlated interacting micro-swimmers. He is also interested in development and analysis of PDE models describing individual swimming at micro-scale.