Director, CSCS; Nicholas D. Kazarinoff Collegiate Professor of Complex Systems, Mathematics and Physics
About
Charles Doering is the Nicholas D. Kazarinoff Collegiate Professor of Complex Systems, Mathematics and Physics and is the Director of the Center for the Study of Complex Systems. Professor Doering’s research is focused on the analysis of mathematical models with the aim of extracting reliable, rigorous, and useful predictions. These models range from stochastic, dynamical systems arising in biology, chemistry and physics, to systems of nonlinear partial differential equations such as those that (ostensibly) describe turbulent fluid flows. The techniques employed range from the development of exact solutions to the application of modern mathematical methods including rigorous estimation, careful numerical computations and simulations, and the use of abstract functional and probabilistic analysis --- often a combination of all three approaches.
Professor Doering received a Bachelor’s degree in mathematics and physics from Antioch College, a Master’s in physics from the University of Cincinnati, and a Doctorate in mathematical physics from The University of Texas at Austin. He held positions at Los Alamos National Laboratory and Clarkson University prior to joining the Michigan faculty in 1996. Professor Doering is a Fellow of the American Physical Society and of the Society of Industrial & Applied Mathematics and, among other recognitions, received the NSF Presidential Young Investigator Award, the University of Michigan’s College of Literature, Science & the Arts Excellence in Education Award, a Fulbright Scholarship, and a Humboldt Research Award. He was named a Simons Fellow in Theoretical Physics in 2014, a Guggenheim Fellow in Applied Mathematics in 2016, and a Simons Fellow in Mathematics in 2021.
Selected Recent Publications
Diffusion-limited mixing by incompressible flows, Christopher J. Miles and Charles R. Doering, Nonlinearity 31, 2346-2359 (2018).
Random walker models for durotaxis, Charles R. Doering, Xioming Mao and Leonard M. Sander, Physical Biology 15, 066009 (2018).
On the optimal design of wall-to-wall heat transport, Charles R. Doering and Ian Tobasco, Communications on Pure and Applied Mathematics 72, 2385-2448 (2019).
Turning up the heat in turbulent thermal convection, Charles R. Doering, Proceedings of the National Academy of Sciences of the United States of America 117, 9671-9673 (2020).
Heat transport bounds for a truncated model of Rayleigh-Bénard convection via polynomial optimization, Matthew L. Olson, David Goluskin, William W. Schultz and Charles R. Doering, Physica D 415, 132748 (2021).
