Jonathan C. Mattingly, Associate Professor of Mathematics

Jonathan C. Mattingly
Office Location:  
Email Address: send me a message

Teaching (Fall 2008):

Education:

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

Applied Math
Probability
Analysis
Mathematical Physics
Current Ph.D. Students  

  • Tiffany N. Kolba  
  • Rachel Thomas  
  • Andrea Watkins  
Postdocs Mentored

  • Matthias Heymann (September, 2007 - present)  
  • Boumediene Hamzi (September, 2007 - present)  
  • Scott McKinley (September 1, 2006 - present)  
  • David Anderson (September, 2005 - December, 2005)  
  • Yuri Bakhtin (2004)  
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

  • Analysis of Mechanisms of Biochemical Homeostasis, NSF, 0616710, 2006/09-2009/09.      
  • CAREER: Stochastic analysis and numerics in partial differential equations and extended dynamical systems, NSF, 2004/07-2009/07.      
  • Sloan Fellowship, 2005/09-2007/09.      
  • Visitinig Member, Institut Universitaire de France, 2004/05.