University of Texas
Charles R. Doering
Janueary 7, 1956– May 15, 2021

 

 

Charles Rogers Doering

Charles Rogers Doering was a professor of mathematics at the University of Michigan, Ann Arbor. He is notable for his research that is generally focused on the analysis of stochastic dynamical systems arising in biology, chemistry and physics, to systems of nonlinear partial differential equations. Recently, he has been focusing on fundamental questions in fluid dynamics as part of the $1M Clay Institute Millennium Problems Challenge concerning the regularity of solutions to the equations of fluid dynamics. With J. D. Gibbon, he notably co-authored the book Applied Analysis of the Navier-Stokes Equations, published by Cambridge University Press.

Charles was born in 1956 to Harvey von Eggers and Ruth Rogers Doering in Schenectady, NY. His father, Harvey, born in Cambridge, MA, studied mathematics at Harvard. His mother, Ruth, was born in London, Ontario. She graduated with a BS in Mathematics from Colby College in 1948 and subsequently earned an MS in Mathematics from Radcliffe College. Charles' siblings are Elaine Doering Teevens and Elizabeth Doering. He married Paula M. Harlen on December 14, 1985, in Austin, Texas. He likely attended Niskayuna High School, Schenectady, NY. If so a 1973 photo is in album below.

Charles received his BS from Antioch College, 1977; his MS from the University of Cincinnati, 1978; and his PhD from The University of Texas at Austin under Cécile DeWitt-Morette, 1985, in the area of applying stochastic differential equations to statistical mechanics and field theory. His master's thesis was entitled: "Generation of solutions to the Einstein equations." His PhD thesis was entitled, "Functional stochastic differential equations: mathematical theory of nonlinear parabolic systems with applications in field theory and statistical mechanics."

Doering received a number of honors including the Presidential Young Investigator Award, 1989–94; Fulbright Scholarship, 2001; 1995; Fellow of the American Physical Society, 2001 [1]; the Humboldt Research Award, 2003. He was named Fellow of the Society for Industrial and Applied Mathematics in 2011, a Simons Foundation Fellow in Theoretical Physics in 2014, a Guggenheim Fellowship in Applied Mathematics in 2016, and a Simons Foundation Fellow in Mathematics in 2021.

 

APS Fellow: Charles R. Doering [2001] University of Michigan Citation: For fundamental contributions to the analysis of noisy and nonlinear dynamical systems, including co-discovery of resonant activation, current reversals in stochastic ratchets, and rigorous dissipation rate bounds for incompressible turbulence. Nominated by: GSNP

 

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

Heat transport bounds for a truncated model of Rayleigh–Bénard convection via polynomial optimization, ML Olson, D Goluskin, WW Schultz, CR Doering, Physica D: Nonlinear Phenomena 415,132748 2021

Thermal convection over fractal surfaces, S Toppaladoddi, AJ Wells, CR Doering, JS Wettlaufer, Journal of Fluid Mechanics 9072021

Steady Rayleigh–Bénard convection between stress-free boundaries, B Wen, D Goluskin, M LeDuc, GP Chini, CR Doering  Journal of Fluid Mechanics 905 2020

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).

 

Charles Rogers Doering Photo and Document Album

Charles R. Doering
Charles R. Doering, 1973 Nishayuna High School, Schenectady, NY
Charles R. Doering
Charles R. Doering

Charles R. Doering, ?, Cecile Dewitt-Morette

 

Ted Jacobsen and Charles Doering

?, Paula M. Harlen Doering, Neil deGrasse Tyson, ?, Charles Doering

 


 

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