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| Research Interests for Jonathan C. Mattingly
Research Interests: Applied mathematics, Probability, Ergodic Theory, Stochastic partial differential equations, Stochastic dynamical systems, Stochastic Numerical methods, Fluids
- Representative Publications
- 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]
- 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]
- 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]
- 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]
- 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]
- 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]
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