Andrea Bertozzi
Andrea Bertozzi
Prof. of Math. and Mech. & Aero. Eng., Betsy Wood Knapp Chair for Innovation and Creativity, UCLA
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Vorticity and incompressible flow
AJ Majda, AL Bertozzi
Cambridge University Press, 2001
Vorticity and Incompressible Flow: 27 (Cambridge Texts in Applied Mathematics)
AJ Majda, AL Bertozzi
Navier-stokes, fluid dynamics, and image and video inpainting
M Bertalmio, AL Bertozzi, G Sapiro
Computer Vision and Pattern Recognition, 2001. CVPR 2001. Proceedings of the …, 2001
Self-propelled particles with soft-core interactions: patterns, stability, and collapse
MR D’Orsogna, YL Chuang, AL Bertozzi, LS Chayes
Physical review letters 96 (10), 104302, 2006
Swarming patterns in a two-dimensional kinematic model for biological groups
CM Topaz, AL Bertozzi
SIAM Journal on Applied Mathematics 65 (1), 152-174, 2004
A nonlocal continuum model for biological aggregation
CM Topaz, AL Bertozzi, MA Lewis
Bulletin of mathematical biology 68 (7), 1601, 2006
Image recovery via nonlocal operators
Y Lou, X Zhang, S Osher, A Bertozzi
Journal of Scientific Computing 42 (2), 185-197, 2010
Inpainting of binary images using the Cahn-Hilliard equation
AL Bertozzi, S Esedoglu, A Gillette
IEEE Transactions on image processing 16 (1), 285-291, 2007
A statistical model of criminal behavior
MB Short, MR D'ORSOGNA, VB Pasour, GE Tita, PJ Brantingham, ...
Mathematical Models and Methods in Applied Sciences 18 (supp01), 1249-1267, 2008
The lubrication approximation for thin viscous films: regularity and long-time behavior of weak solutions
AL Bertozzi, M Pugh
Communications on pure and applied mathematics 49 (2), 85-123, 1996
Linear stability and transient growth in driven contact lines
AL Bertozzi, MP Brenner
Physics of Fluids 9 (3), 530-539, 1997
State transitions and the continuum limit for a 2D interacting, self-propelled particle system
Y Chuang, MR D’Orsogna, D Marthaler, AL Bertozzi, LS Chayes
Physica D: Nonlinear Phenomena 232 (1), 33-47, 2007
The mathematics of moving contact lines in thin liquid films
AL Bertozzi
Notices of the AMS 45 (6), 689-697, 1998
Global regularity for vortex patches
AL Bertozzi, P Constantin
Communications in mathematical physics 152 (1), 19-28, 1993
Blow-up in multidimensional aggregation equations with mildly singular interaction kernels
AL Bertozzi, JA Carrillo, T Laurent
Nonlinearity 22 (3), 683, 2009
Long‐wave instabilities and saturation in thin film equations
AL Bertozzi, MC Pugh
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 1998
Randomized controlled field trials of predictive policing
GO Mohler, MB Short, S Malinowski, M Johnson, GE Tita, AL Bertozzi, ...
Journal of the American Statistical Association 110 (512), 1399-1411, 2015
Dissipation and displacement of hotspots in reaction-diffusion models of crime
MB Short, PJ Brantingham, AL Bertozzi, GE Tita
Proceedings of the National Academy of Sciences 107 (9), 3961-3965, 2010
Undercompressive shocks in thin film flows
AL Bertozzi, A Münch, M Shearer
Physica D: Nonlinear Phenomena 134 (4), 431-464, 1999
Positivity-preserving numerical schemes for lubrication-type equations
L Zhornitskaya, AL Bertozzi
SIAM journal on numerical analysis 37 (2), 523-555, 1999
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