Charles R. Doering

Last updated
Charles R. Doering
Born7 January 1956
Died15 May 2021
NationalityAmerican
Alma mater Antioch College
University of Cincinnati
The University of Texas at Austin
Known for Fluid dynamics
Scientific career
Fields Mathematician
Institutions University of Michigan
Los Alamos National Laboratory
Clarkson University
Doctoral advisor Cécile DeWitt-Morette

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 had been focusing on fundamental questions in fluid dynamics as part of the $1M Clay Institute millennium 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. [1] He died on May 15, 2021. [2]

Contents

Education

He 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 masters 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.

Career

In 1986–87, he was a Director's Postdoctoral Fellow 1986–87, Center for Nonlinear Studies, Los Alamos National Laboratory; in 1987–96, he rose to Professor of Physics, 1987–96, Clarkson University; in 1994–96, he was Deputy Director of Los Alamos' Center for Nonlinear Studies. He joined the faculty of the University of Michigan in 1996, where he eventually became the Nicholas D. Kazarinoff Collegiate Professor of Complex Systems, Mathematics and Physics and the Director of the Center for the Study of Complex Systems. He was very active in the Geophysical Fluid Dynamics Program at the Woods Hole Oceanographic Institute.

Honors

Doering received a number of honours including the Presidential Young Investigator Award, 1989–94; Fulbright Scholarship, 2001; 1995; Fellow of the American Physical Society, 2001; [3] 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.

See also

Related Research Articles

<span class="mw-page-title-main">Giorgio Parisi</span> Italian physicist

Giorgio Parisi is an Italian theoretical physicist, whose research has focused on quantum field theory, statistical mechanics and complex systems. His best known contributions are the QCD evolution equations for parton densities, obtained with Guido Altarelli, known as the Altarelli–Parisi or DGLAP equations, the exact solution of the Sherrington–Kirkpatrick model of spin glasses, the Kardar–Parisi–Zhang equation describing dynamic scaling of growing interfaces, and the study of whirling flocks of birds. He was awarded the 2021 Nobel Prize in Physics jointly with Klaus Hasselmann and Syukuro Manabe for groundbreaking contributions to theory of complex systems, in particular "for the discovery of the interplay of disorder and fluctuations in physical systems from atomic to planetary scales."

Steven Alan Orszag was an American mathematician.

Stephen Ray Wiggins is a Cherokee-American applied mathematician also of British heritage best known for his contributions in nonlinear dynamics, chaos theory and nonlinear phenomena, with applications to Lagrangian aspects of fluid transport and mixing and phase space aspects of theoretical chemistry.

<span class="mw-page-title-main">Norman Zabusky</span> American physicist (1929–2018)

Norman J. Zabusky was an American physicist, who is noted for the discovery of the soliton in the Korteweg–de Vries equation, in work completed with Martin Kruskal. This result early in his career was followed by an extensive body of work in computational fluid dynamics, which led him in the latter years of his career to an examination of the importance of visualization in this field. In fact, he coined the term visiometrics to describe the process of using computer-aided visualization to guide one towards quantitative results.

<span class="mw-page-title-main">Weinan E</span> Chinese mathematician

Weinan E is a Chinese mathematician. He is known for his pathbreaking work in applied mathematics and machine learning. His academic contributions include novel mathematical and computational results in stochastic differential equations; design of efficient algorithms to compute multiscale and multiphysics problems, particularly those arising in fluid dynamics and chemistry; and pioneering work on the application of deep learning techniques to scientific computing. In addition, he has worked on multiscale modeling and the study of rare events.

Mark Iosifovich Freidlin is a Russian-American probability theorist who works as a Distinguished University Professor of Mathematics at the University of Maryland, College Park. He is one of the namesakes of the Freidlin–Wentzell theory, which is an important part of the large deviations theory. Freidlin and Wentzell are the authors of the first monograph on the large deviations theory for stochastic processes (1979). The Freidlin-Wentzell theory describes, in particular, the long-time effects caused by random perturbations. The latest edition of the book was published by Springer in 2012. It contains not just the results on large deviations but also new results on other asymptotic problems, in particular, on the averaging principle for stochastic perturbations. Other works of Mark Freidlin concern perturbations of Hamiltonian systems, wave front propagation in reaction-diffusion equations, non-linear perturbations of partial differential equations. stochasticity in deterministic dynamical systems.

<span class="mw-page-title-main">George Karniadakis</span> American mathematician

George Em Karniadakis is a professor of applied mathematics at Brown University. He is a Greek-American researcher who is known for his wide-spectrum work on high-dimensional stochastic modeling and multiscale simulations of physical and biological systems, and is a pioneer of spectral/hp-element methods for fluids in complex geometries, general polynomial chaos for uncertainty quantification, and the Sturm-Liouville theory for partial differential equations and fractional calculus.

Panayotis G. Kevrekidis is a professor in the Department of Mathematics and Statistics at the University of Massachusetts Amherst. Kevrekidis earned his B.Sc. in physics in 1996 from the University of Athens. He obtained his M.S. in 1998 and Ph.D. in 2000 from Rutgers University, the latter under the joint supervision of Joel Lebowitz and Panos G. Georgopoulos. His thesis was entitled “Lattice Dynamics of Solitary Wave Excitations”. He then assumed a post-doctoral position split between the Program in Applied and Computational Mathematics of Princeton University (10/2000–02/2001) and the Theoretical Division and the Center for Nonlinear Studies of Los Alamos National Laboratory (03/2001–08/2001). From 09/2001, he joined the Department of Mathematics and Statistics of the University of Massachusetts Amherst as an assistant professor. He was awarded tenure and promotion to associate professor in 06/2005. As of 09/2010, he is a full professor at the same institution. He is presently the Stanislaw M. Ulam Scholar at the Center for Nonlinear Studies at Los Alamos National Laboratory.

<span class="mw-page-title-main">Ronald DiPerna</span> American mathematician

Ronald J. DiPerna was an American mathematician, who worked on nonlinear partial differential equations.

Marta Lewicka is a Polish-American professor of mathematics at the University of Pittsburgh, specializing in mathematical analysis. Lewicka has contributed results in the theory of hyperbolic systems of conservation laws, fluid dynamics, calculus of variations, nonlinear elasticity, nonlinear potential theory and differential games.

Michael Ghil is an American and European mathematician and physicist, focusing on the climate sciences and their interdisciplinary aspects. He is a founder of theoretical climate dynamics, as well as of advanced data assimilation methodology. He has systematically applied dynamical systems theory to planetary-scale flows, both atmospheric and oceanic. Ghil has used these methods to proceed from simple flows with high temporal regularity and spatial symmetry to the observed flows, with their complex behavior in space and time. His studies of climate variability on many time scales have used a full hierarchy of models, from the simplest ‘toy’ models all the way to atmospheric, oceanic and coupled general circulation models. Recently, Ghil has also worked on modeling and data analysis in population dynamics, macroeconomics, and the climate–economy–biosphere system.

Bernard J. Matkowsky was an American applied mathematician.

<span class="mw-page-title-main">Igor Chueshov</span> Ukrainian mathematician (b. 1951, d. 2016)

Igor Dmitrievich Chueshov was a Ukrainian mathematician. He was both a correspondent member of the Mathematics section of the National Academy of Sciences of Ukraine and a professor in the Department of Mathematical Physics and Computational Mathematics at the National University of Kharkiv.

<span class="mw-page-title-main">Edriss Titi</span> Palestinian-Israeli mathematician (born 1957)

Edriss Saleh Titi is an Arab-Israeli mathematician. He is Professor of Nonlinear Mathematical Science at the University of Cambridge. He also holds the Arthur Owen Professorship of Mathematics at Texas A&M University, and serves as Professor of Computer Science and Applied Mathematics at the Weizmann Institute of Science and Professor Emeritus at the University of California, Irvine.

Alexander A. Kiselev is an American mathematician, specializing in spectral theory, partial differential equations, and fluid mechanics.

<span class="mw-page-title-main">Darryl Holm</span>

Darryl Holm is an American applied mathematician, and Professor of Applied Mathematics and Mathematical Physics in the Department of Mathematics at Imperial College London. He studied Physics at the University of Minnesota (1963-1967), and Physics and Mathematics at the University of Michigan (1967-1971). He joined the Theoretical Design Division of Los Alamos National Laboratory (LANL) in 1972 where he worked on the physics of strong shock waves and high-temperature hydrodynamic phenomena. At LANL Darryl also wrote his PhD dissertation entitled "Symmetry breaking in fluid dynamics: Lie group reducible motions for real fluids", receiving his PhD in 1976, supervised by Roy Axford. A result discovered in this work was later used to substantiate the accuracy of the Los Alamos on-site yield verification method (CORRTEX) for the US-USSR Threshold Test Ban Treaty (TTBT). In 1980, Darryl moved to the Theoretical Division, where he helped found the Center for Nonlinear Studies and served as one of its acting directors.

Charles Laurie Dolph was a professor of mathematics, known for his research in applied mathematics and engineering.

JinqiaoDuan is a professor of mathematics at Illinois Institute of Technology, Chicago, USA.

References

  1. "John Simon Guggenheim Foundation / Charles R. Doering". John Simon Guggenheim Memorial Foundation. 2016.
  2. "Charles R. Doering / U-M LSA Physics". College of Literature, Science, and the Arts, University of Michigan. 2021.
  3. "APS Fellow Archive". APS. Retrieved 17 September 2020.