Andrea L Bertozzi, Adjunct Professor

Andrea L Bertozzi
Office Location:  7619D Mathematical Sciences, UCLA
Office Phone:  (310) 825-4340
Email Address: send me a message
Web Page:


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

Applied Math
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.

Current Ph.D. Students  

Postdocs Mentored

Recent 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)