Faculty Detail
Charles Doering
Professor
328 WH East Hall
Phone: (734) 9362913
Email:
doering@umich.edu

Affiliation(s)

Applied Mathematics
Mathematical Biology
Mathematical Physics

Applied Mathematics

About
Doering's research is focused on the development and analysis of mathematical models with the aim of extracting reliable, rigorous, and useful predictions for interesting scientific problems. Such models range from deterministic and stochastic dynamical systems arising in biology, chemistry and physics, to systems of nonlinear partial differential equations such as those which (ostensibly) describe turbulent fluid flows. The techniques used vary from the derivation and development of exact solutions, to applications of modern approximation and asymptotic methods, careful numerical computations and simulations, and abstract functional and probabilistic analysis  often a combination of all four approaches.
Students interested in stochastic dynamics might consult recent papers including "Features of Fast Living: On the Weak Selection for Longevity in Degenerate BirthDeath Processes" by Yen Ting Lin, Hyejin Kim, and Charles R. Doering, Journal of Statistical Physics 148, 6460662 (2012), while students interested in mathematical fluid dynamics are directed to his book coauthored with J. D. Gibbon, "Applied Analysis of the NavierStokes Equations" (Cambridge University Press Graduate Texts in Applied Mathematics, 1995; corrected reprint 2005) or "The 3D NavierStokes Problem" by C.R. Doering, Annual Review of Fluid Mechanics 41, 109128 (2009).
Doering is a Fellow of the American Physical Society (since 2001) and Fellow of the Society of Industrial and Applied Mathematics (since 2011). Among other professional recognitions he received the Presidential Young Investigator Award (1989), a Fulbright Scholarship (1995), and a Humboldt Research Prize (2003).
News
Charles Doering is appointed Director, University of Michigan Center for the Study of Complex Systems 2015
Charles Doering is named Simons Fellow in Theoretical Physics 2014