Nonconvex gradient flow in the Wasserstein metric and applications to constrained nonlocal interactions

The exponential formula for the wasserstein metric

(2016) Katy Craig   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Convergence of Regularized Nonlocal Interaction Energies

(2016) Katy Craig et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Advection-diffusion equations with density constraints

(2016) Alpár Richárd Mészáros et al.   Analysis & PDE

The exponential formula for the wasserstein metric

(2016) Katy Craig   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

On the role of Riesz potentials in Poisson's equation and Sobolev embeddings

(2015) Daniel Spector et al.   INDIANA UNIVERSITY MATHEMATICS JOURNAL

Quasi-static evolution and congested crowd transport

(2014) Damon Alexander et al.   NONLINEARITY

Stationary States and Asymptotic Behavior of Aggregation Models with Nonlinear Local Repulsion

(2014) Martin Burger et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Uniqueness for Keller-Segel-type chemotaxis models

(2013) José Antonio Carrillo et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Functional inequalities, thick tails and asymptotics for the critical mass Patlak–Keller–Segel model

(2011) Adrien Blanchet et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Handling congestion in crowd motion modeling

(2011) Juliette Venel et al.   Networks and Heterogeneous Media

Gradient flow of the Chapman–Rubinstein–Schatzman model for signed vortices

(2010) Luigi Ambrosio et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Lp theory for the multidimensional aggregation equation

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

A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE

(2010) BERTRAND MAURY et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak–Keller–Segel Model

(2008) Adrien Blanchet et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A gradient flow approach to an evolution problem arising in superconductivity

(2007) Luigi Ambrosio et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS