Research Interests for Andrea L Bertozzi

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.

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)