Math @ Duke

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:
 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)
 HsiangWei Lu (UCLA MAE)
 YaoLi Chuang (Dept. of Physics)
 Postdocs Mentored
 Dejan Slepcev (UCLA Math) (2005/02present)
 Maria D'Orsogna (UCLA Math) (2004  present)
 John Greer (2004/012004/08)
 Daniel Marthaler (September 5, 2002  September 1, 2004)
 Chad Topaz (2002/09present)
 Linda Smolka (2002/032002/09)
 Jeanman Sur (2001/022004/02)
 Ning Ju (2000/092002/07)
 Mark Bowen (2000/022001/12)
 Andreas Münch (1998/031999/04)
 Lou Kondic (1997/091999/08)
 Recent Publications
(More Publications)
 A. L. Bertozzi and J. B. Greer, Lowcurvature 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
 T. P. Witelski and A. J. Bernoff and A. L. Bertozzi, Blowup and dissipation in a criticalcase unstable thin film equation,
European Journal Of Applied Mathematics, vol. 15
(April, 2004),
pp. 223  256
 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)
 C. M. Topaz and A. L. Bertozzi, Swarming patterns in a twodimensional kinematic model for biological groups,
Siam Journal On Applied Mathematics, vol. 65 no. 1
(2004),
pp. 152  174
 Junjie Zhou, B. Dupuy, A.L. Bertozzi and A. E. Hosoi, Shock dynamics in particleladen thin films
(Submitted, 2004)


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

