Jonathan C. Mattingly, Professor of Mathematics and Statistical Science

Jonathan C. Mattingly
Office Location:  297 Physics
Office Phone:  (919) 660-6978
Email Address: send me a message
Web Page:  http://www.math.duke.edu/~jonm

Teaching (Fall 2014):

Office Hours:

TBA
Education:

PhD in Applied and Computational MathematicsPrinceton University1998
AuditorENS Lyon1993
BS in Applied MathematicsYale University1992
High School DiplomaNCSSM1988
Specialties:

Probability
Applied Math
Analysis
Mathematical Physics
Research Interests: Applied mathematics, Probability, Ergodic Theory, Stochastic partial differential equations, Stochastic dynamical systems, Stochastic Numerical methods, Fluids

Areas of Interest:

Ergodic theory
Truly infinite dimensional behabior in SPDEs
Scaling limited of algorithems used in simulation and data analysis
Probabilistic algorithms for large data
Stabilization of dynamics my noise
scaling limits of stochastic algorithms

Current Ph.D. Students  

Postdocs Mentored

Undergraduate Research Supervised

Representative Publications

  1. Jonathan C. Mattingly, Etienne Pardoux, Malliavin calculus for the Stochastic 2D Navier Stokes Equation, Communications on Pure and Applied Mathematics, vol. 59 no. 12 (December, 2006), pp. 1742 - 1790 [math.PR/0407215]  [abs]
  2. Martin Hairer, J.C. Mattingly, Ergodicity of the 2D Navier-Stokes Equations with Degenerate Stochastic Forcing, Annals of Mathematics, vol. 164 no. 3 (November, 2006) [math.PR/0406087]  [abs]
  3. J.C. Mattingly, On Recent Progress for the Stochastic Navier Stokes Equations, Journées "Équations aux Dérivées Partielles" (Forges-les-Eaux, 2003), vol. XV (Summer, 2003), pp. viii+298, Universit\'e de Nantes, Nantes (Held in Forges-les-Eaux, June 2--6, 2003, The papers are available electronically at \url{http://www.math.sciences.univ-nantes.fr/edpa}.) [MR2050586(2004j:00022)], [pdf]  [abs]
  4. Bakhtin, Yuri and Mattingly, Jonathan C., Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations, Communications in Contemporary Mathematics, vol. 7 no. 5 (2005), pp. 553--582, World Scientific (ISSN: 0219-1997.) [MR2175090], [math.PR/0509166]  [abs]
  5. W. E, J.C. Mattingly, Ya Sinai, Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation, Comm. Math. Phys., vol. 224 no. 1 (2001), pp. 83--106 (Dedicated to Joel L. Lebowitz.) [MR2002m:76024], [pdf]
  6. J.C. Mattingly, Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics, Comm. Math. Phys., vol. 230 no. 3 (2002), pp. 421--462 [MR2004a:76039], [pdf]
Recent Grant Support

Conferences Organized