Professor Doering’s research is focused on 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. Techniques employed range from the development of exact solutions, to modern applied mathematics including careful numerical computations and simulations, to 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 the PhD 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 Michigan 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, and a Humboldt Research Award. He is a Fellow of the American Physical Society.

Multiscale Mixing Efficiencies for Steady Scalar Sources, C.R. Doering and J.-L. Thiffeault, Physical Review E 74, 025301(Rapid Communications), 4 pages (2006).

Bounds on vertical heat transport for infinite Prandtl number Rayleigh-Bénard convection, C.R. Doering, F. Otto and M. G. Reznikoff, Journal of Fluid Mechanics 560, 229-241 (2006).

Exponentially growing solutions in homogeneous Rayleigh-Bénard convection, E. Calzavarini, C.R. Doering, J.D. Gibbon, D. Lohse, A. Tanabe and F. Toschi, Physical Review E 73, 035301 (Rapid Communications), 4 pages (2006).

Energy and enstrophy dissipation in steady state 2d turbulence, A. Alexakis and C.R. Doering, Physics Letters A 359, 652-657 (2006).

Asymptotics of rare events in birth-death processes bypassing the exact solutions, C.R. Doering, K.V. Sargsyan, L.M. Sander, and E. Vanden-Eijnden. Journal of Physics: Condensed Matter 19, 065145, 12 pages (2007). doi:10.1088/0953-8984/19/6/065145