- Professor of Mathematics
- Chair of the Department of Mathematics
- Professor of Statistical Science (Secondary)

# Jonathan Christopher Mattingly

### Research Areas and Keywords

##### Analysis

##### Biological Modeling

##### Computational Mathematics

##### PDE & Dynamical Systems

##### Physical Modeling

##### Probability

Jonathan Christopher Mattingly grew up in Charlotte, NC where he attended Irwin Ave elementary and Charlotte Country Day. He graduated from the NC School of Science and Mathematics and received a BS is Applied Mathematics with a concentration in physics from Yale University. After two years abroad with a year spent at ENS Lyon studying nonlinear and statistical physics on a Rotary Fellowship, he returned to the US to attend Princeton University where he obtained a PhD in Applied and Computational Mathematics in 1998. After 4 years as a Szego assistant professor at Stanford University and a year as a member of the IAS in Princeton, he moved to Duke in 2003. He is currently a Professor of Mathematics and of Statistical Science.

His expertise is in the longtime behavior of stochastic system including randomly forced fluid dynamics, turbulence, stochastic algorithms used in molecular dynamics and Bayesian sampling, and stochasticity in biochemical networks.

He is the recipient of a Sloan Fellowship and a PECASE CAREER award. He is also a fellow of the IMS and the AMS.

Hairer, M, and Mattingly, JC. "Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing." *Annals of Mathematics* 164.3 (2006): 993-1032.

Mattingly, JC, and Pardoux, É. "Malliavin calculus for the stochastic 2D Navier-Stokes equation." *Communications on Pure and Applied Mathematics* 59.12 (2006): 1742-1790.
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Mattingly, JC, and Suidan, TM. "The small scales of the stochastic Navier-Stokes equations under rough forcing." *JOURNAL OF STATISTICAL PHYSICS* 118.1-2 (January 2005): 343-364.
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Bakhtin, Y, and Mattingly, JC. "Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations." *Communications in Contemporary Mathematics* 7.5 (2005): 553-582.
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Hairer, M, Mattingly, JC, and Pardoux, É. "Malliavin calculus for highly degenerate 2D stochastic Navier–Stokes equations." *Comptes Rendus Mathematique* 339.11 (December 2004): 793-796.
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Hairer, M, and Mattingly, JC. "Ergodic properties of highly degenerate 2D stochastic Navier–Stokes equations." *Comptes Rendus Mathematique* 339.12 (December 2004): 879-882.
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Hairer, M, Mattingly, JC, and Pardoux, E. "Malliavin calculus and ergodic properties of highly degenerate 2D stochastic Navier–Stokes equation." *arXiv preprint math/0409057* (2004). (Academic Article)

Mattingly, JC, Mattingly, JC, and Mattingly, JC. "On recent progress for the stochastic Navier Stokes equationsOn recent progress for the stochastic Navier Stokes equationsOn Recent Progress for the Stochastic Navier Stokes Equations." *Journées "Équations aux Dérivées Partielles"* XV (July 2003): viii+298-. (Academic Article)

Mattingly, JC. "Contractivity and Ergodicity of the Random Map $\boldsymbol{\lowercase{x\,\mapsto\,|x-\theta|}}$." *Theory of Probability and Its Applications* 47.2 (2003): 333-333.
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Mattingly, JC. "The dissipative scale of the stochastics Navier-Stokes equation: Regularization and analyticity." *Journal of Statistical Physics* 108.5-6 (December 1, 2002): 1157-1179.
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