Andrea L Bertozzi, Adjunct Professor

Please note: Andrea has left the Mathematics department at Duke University; some info here might not be up to date.

Contact Info:

Office Location:	7619D Mathematical Sciences, UCLA
Office Phone:	(310) 825-4340
Email Address:
Web Page:	http://www.math.ucla.edu/~bertozzi

Education:

Ph.D. in Mathematics, Princeton Univ., 1991 M.A. in Mathematics, Princeton Univ., 1988 A.B. in Mathematics, Princeton Univ., 1987

Specialties:

Applied Math
Analysis

Research Interests: Nonlinear Partial Differential Equations, Applied Mathematics, Thin films, Image Processing, Swarming

I am interested in applied problems involving nonlinear PDE. Most of my research is directly in or motivated by fluid dynamics. I study problems in thin liquid films, nonlinear PDE for image processing, and nonlinear dynamics of swarms.

Curriculum Vitae

Current Ph.D. Students   (Former Students)

• Ben Cook (UCLA Math)  
• Julia Dubrosotksaya (UCLA Math)  
• Alan Gillette (UCLA Math)  
• Hsiang-Wei Lu (UCLA MAE)  
• Yao-Li Chuang (Dept. of Physics)  

Postdocs Mentored

• Dejan Slepcev (UCLA Math) (2005/02-present)  
• Maria D'Orsogna (UCLA Math) (2004 - present)  
• John Greer (2004/01-2004/08)  
• Daniel Marthaler (September 5, 2002 - September 1, 2004)  
• Chad Topaz (2002/09-present)  
• Linda Smolka (2002/03-2002/09)  
• Jeanman Sur (2001/02-2004/02)  
• Ning Ju (2000/09-2002/07)  
• Mark Bowen (2000/02-2001/12)  
• Andreas Münch (1998/03-1999/04)  
• Lou Kondic (1997/09-1999/08)  

Recent Publications   (More Publications)

1. A. L. Bertozzi and J. B. Greer, Low-curvature image simplifiers: Global regularity of smooth solutions and Laplacian limiting schemes, Communications On Pure And Applied Mathematics, vol. 57 no. 6 (June, 2004), pp. 764 -- 790
2. T. P. Witelski and A. J. Bernoff and A. L. Bertozzi, Blowup and dissipation in a critical-case unstable thin film equation, European Journal Of Applied Mathematics, vol. 15 (April, 2004), pp. 223 -- 256
3. Chad Topaz and Andrea L. Bertozzi, Swarming dynamics and pattern formation in a model for biological group motion, to appear in SIAM J. Appl. Math. (Accepted, March, 2004)
4. C. M. Topaz and A. L. Bertozzi, Swarming patterns in a two-dimensional kinematic model for biological groups, Siam Journal On Applied Mathematics, vol. 65 no. 1 (2004), pp. 152 -- 174
5. Junjie Zhou, B. Dupuy, A.L. Bertozzi and A. E. Hosoi, Shock dynamics in particle-laden thin films (Submitted, 2004)