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Publications Influence

Vorticity and Incompressible Flow: Index

- A. Majda, A. Bertozzi
- Physics
- 1 November 2001

This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. Although the… Expand

922 61- PDF

Navier-stokes, fluid dynamics, and image and video inpainting

- M. Bertalmío, A. Bertozzi, G. Sapiro
- Computer Science
- Proceedings of the IEEE Computer Society…
- 8 December 2001

TLDR

902 55- PDF

Vorticity and incompressible flow

- A. Majda, A. Bertozzi
- Mathematics
- 2001

Preface 1. An introduction to vortex dynamics for incompressible fluid flows 2. The vorticity-stream formulation of the Euler and the Navier-Stokes equations 3. Energy methods for the Euler and the… Expand

615 41

Self-propelled particles with soft-core interactions: patterns, stability, and collapse.

- M. R. D' Orsogna, Y. L. Chuang, A. Bertozzi, L. Chayes
- Medicine, Physics
- Physical review letters
- 17 March 2006

Understanding collective properties of driven particle systems is significant for naturally occurring aggregates and because the knowledge gained can be used as building blocks for the design of… Expand

440 31- PDF

Inpainting of Binary Images Using the Cahn–Hilliard Equation

- A. Bertozzi, Selim Esedoglu, Alan Gillette
- Computer Science, Mathematics
- IEEE Transactions on Image Processing
- 2007

TLDR

288 27- PDF

A STATISTICAL MODEL OF CRIMINAL BEHAVIOR

- M. Short, M. D'Orsogna, +4 authors L. B. Chayes
- Computer Science
- 1 August 2008

Motivated by empirical observations of spatio-temporal clusters of crime across a wide variety of urban settings, we present a model to study the emergence, dynamics, and steady-state properties of… Expand

263 27- PDF

Global regularity for vortex patches

- A. Bertozzi, P. Constantin
- Mathematics
- 1 February 1993

We present a proof of Chemin's [4] result which states that the boundary of a vortex patch remains smooth for all time if it is initially smooth.

181 25

A Nonlocal Continuum Model for Biological Aggregation

- C. Topaz, A. Bertozzi, M. Lewis
- Biology, Physics
- Bulletin of mathematical biology
- 1 April 2005

We construct a continuum model for biological aggregations in which individuals experience long-range social attraction and short-range dispersal. For the case of one spatial dimension, we study the… Expand

346 20- PDF

Linear stability and transient growth in driven contact lines

- A. Bertozzi, M. Brenner
- Physics
- 1 March 1997

Fluid flowing down an inclined plane commonly exhibits a fingering instability in which the contact line corrugates. We show that below a critical inclination angle the base state before the… Expand

220 20- PDF

The lubrication approximation for thin viscous films: Regularity and long-time behavior of weak solutions

- A. Bertozzi, M. Pugh
- Mathematics
- 1 February 1996

We consider the fourth-order degenerate diffusion equation, in one space dimension. This equation, derived from a lubrication approximation, models the surface-tension-dominated motion of thin… Expand

249 20- PDF