Duke Applied Mathematics

Jonathan C. Mattingly, Professor of Mathematics

Contact Info:

Office Location:	297 Physics
Office Phone:	(919) 660-6978
Email Address:
Web Page:	http://www.math.duke.edu/~jonm

Teaching (Fall 2013):

• MATH 340.01, ADVANCED INTRO PROBABILITY Synopsis

  Physics 227, MW 03:05 PM-04:20 PM

  (also cross-listed as STA 231.01)

• MATH 690-40.01, TOPICS IN PROBABILITY Synopsis

  Physics 205, MWF 01:40 PM-02:30 PM

Education:

PhD in Applied and Computational Mathematics	Princeton University	1998
Auditor	ENS Lyon	1993
BS in Applied Mathematics	Yale University	1992
High School Diploma	NCSSM	1988

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)

• Akihiko Nishimura  
• Sean D. Lawley  
• Shishi Luo  

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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