Nicholas D. Kazarinoff Collegiate Professor of Physics, Mathematics, and Complex Systems

### About

Charles Doering is the Nicholas D Kazarinoff Collegiate Professor of Complex Systems, Mathematics and Physics and 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 the Center for Nonlinear Studies at Los Alamos National Laboratory and at Clarkson University prior to joining the Michigan faculty in 1996.

Among other recognitions, Professor Doering has 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 is a Fellow of the American Physical Society and of the Society of Industrial and Applied Mathematics. Professor Doering was named a Simons Fellow in Theoretical Physics in 2014, and a Guggenheim Fellow in Applied Mathematics in 2016.

**Some Recent Publications**

Turning up the heat in turbulent thermal convection, C.R. Doering, *Proceedings of the National Academy of Sciences of the United States of America* **117**, 9671-9673 (2020).

Thermal forcing and ‘classical’ and ‘ultimate’ regimes of Rayleigh–Bénard convection, C.R. Doering, *Journal of Fluid Mechanics* **868**, 1-4 (2019).

On the optimal design of wall-to-wall heat transport, C.R. Doering and I. Tobasco, *Communications on Pure and Applied Mathematics* **72**, 2385-2448 (2019).

Absence of Evidence for the Ultimate Regime in Two-Dimensional Rayleigh-Bénard Convection, C.R. Doering, S. Toppaladoddi and J.S Wettlaufer, *Physical Review Letters* **123**, 259401 (2019).

Maximum palinstrophy amplification in the two-dimensional Navier-Stokes equations, D. Ayala, C.R. Doering and T.M. Simon, *Journal of Fluid Mechanics* **837**, 839-857 (2018).

Optimal bounds and extremal trajectories for time averages in nonlinear dynamical systems, I. Tobasco, D. Goluskin and C.R. Doering, *Physics Letters A* **382**, 382-386 (2018).

Optimal Heat Transfer and Optimal Exit Times, F. Marcotte, C.R. Doering, J.-L. Thiffeault and W.R. Young, *SIAM Journal on Applied Mathematics* **78**, 591-608 (2018).

Diffusion-limited mixing by incompressible flows, C.J. Miles and C.R. Doering, *Nonlinearity* **31**, 2346-2359 (2018).

Random walker models for durotaxis, C.R. Doering, X. Mao and L.M. Sander, *Physical Biology* **15**, 066009 (2018).

Distribution of label spacings for genome mapping in nanochannels, D. Odman, E. Werner, K.D. Dorfman, C.R. Doering and B. Mehlig, *Biomicrofluidics* **12**, 034115 (2018).

###### Field(s) of Study

- Mathematical Physics
- Applied Mathematics
- Complex Systems