A nonlocal swarm model for predators–prey interactions

A minimal model of predator-swarm interactions

(2014) Y. Chen et al.   Journal of the Royal Society Interface

Gradient flows for non-smooth interaction potentials

(2014) J.A. Carrillo et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Finite-time blow-up of L∞-weak solutions of an aggregation equation

(2013) Andrea L. Bertozzi et al.   Communications in Mathematical Sciences

Measure solutions for non-local interaction PDEs with two species

(2013) Marco Di Francesco et al.   NONLINEARITY

Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion

(2011) Andrea L. Bertozzi et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations

(2011) J. A. Carrillo et al.   DUKE MATHEMATICAL JOURNAL

ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS

(2011) N. BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Confinement in nonlocal interaction equations

(2011) J.A. Carrillo et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Lp theory for the multidimensional aggregation equation

(2010) Andrea L. Bertozzi et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Stability of stationary states of non-local equations with singular interaction potentials

(2010) Klemens Fellner et al.   MATHEMATICAL AND COMPUTER MODELLING

STABLE STATIONARY STATES OF NON-LOCAL INTERACTION EQUATIONS

(2010) KLEMENS FELLNER et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

The behavior of solutions of multidimensional aggregation equations with mildly singular interaction kernels

(2009) Andrea L. Bertozzi et al.   CHINESE ANNALS OF MATHEMATICS SERIES B

Blow-up in multidimensional aggregation equations with mildly singular interaction kernels

(2009) Andrea L Bertozzi et al.   NONLINEARITY

Large time behavior of nonlocal aggregation models with nonlinear diffusion

(2008) Martin Burger et al.   Networks and Heterogeneous Media