Applied Math

Duke Applied Mathematics



Jonathan C. Mattingly, Associate Professor of Mathematics

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

Teaching (Spring 2012):

  • MATH 81.01, MATH EVERYWHERE Synopsis
    Social Sciences 136, MWF 10:20 AM-11:10 AM
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

Curriculum Vitae
Current Ph.D. Students   (Former Students)

  • Shishi Luo  
  • Tiffany N. Kolba  
Postdocs Mentored

  • Herzog David (August, 2011 - present)  
  • Avanti Athreya (2009 - 2011)  
  • Oliver Diaz Espinosa (2009 - 2011)  
  • Matthias Heymann (September, 2007 - August, 2010)  
  • Boumediene Hamzi (September, 2007 - June, 2010)  
  • Scott McKinley (September 1, 2006 - June 1, 2010)  
  • David Anderson (September, 2005 - December, 2005)  
  • Yuri Bakhtin (2004)  
Representative Publications   (More 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]

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Duke University * Arts & Sciences * Mathematics * February 15, 2012

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