Jonathan C. Mattingly, Associate Professor

Contact Info:

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

Teaching (Fall 2009):

• MATH 288.01, TOPICS IN PROBABILITY

  Physics 227, MW 02:50 PM-04:05 PM

• STA 294.01, SPECIAL TOPICS

  SEE INSTRU, W 04:25 PM-07:00 PM

• MATH 295.01, SPECIAL TOPICS

  SEE INSTRU, W 04:25 PM-07:00 PM

Office Hours:

Thur 9:50 - 11:20
Mon 1:15 - 2:30

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:

Applied Math
Probability
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)

• Tiffany N. Kolba  
• Rachel L. Thomas  
• Andrea C. 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   (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]

Recent Grant Support

• CAREER: Stochastic analysis and numerics in partial differential equations and extended dynamical systems, National Science Foundation, DMS-0449910, 2005/07-2010/06.      
• Analysis of Mechanisms of Biochemical Homeostasis, NSF, 0616710, 2006/09-2009/09.      
• Analysis of Mechanisms of Biochemical Homeostasis, National Science Foundation, DMS-061670, 2006/09-2009/08.      
• CAREER: Stochastic analysis and numerics in partial differential equations and extended dynamical systems, NSF, 2004/07-2009/07.      
• Sloan Foundation Research Fellowship, Alfred P. Sloan Foundation, BR-4494, 2005/09-2007/09.      
• Sloan Fellowship, 2005/09-2007/09.      
• Visitinig Member, Institut Universitaire de France, 2004/05.      

Conferences Organized

• AIM conference: Stochastic numerics methods and application, October, 2007  
• Organizer MSRI semster program, December 30, 2006 - May 30, 2007  
• MSRI: Mathematical Issues in Stochastic Approaches for Multiscale Modeling, May 21, 2007 - May 26, 2007  
• Minisymposium, SIAM dynamical systems meeting, May, 2007  
• MSRI: Stochastic Dynamical Systems and Control, March 26, 2007 - February 30, 2007