Generalized Wasserstein Distance and its Application to Transport Equations with Source

Transport Equation with Nonlocal Velocity in Wasserstein Spaces: Convergence of Numerical Schemes

(2012) Benedetto Piccoli et al.   ACTA APPLICANDAE MATHEMATICAE

Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow

(2012) Gianluca Crippa et al.   NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Structured populations, cell growth and measure valued balance laws

(2011) J.A. Carrillo et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Multiscale Modeling of Granular Flows with Application to Crowd Dynamics

(2011) Emiliano Cristiani et al.   MULTISCALE MODELING & SIMULATION

Handling congestion in crowd motion modeling

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

Existence and approximation of probability measure solutions to models of collective behaviors

(2011) Paolo Frasca et al.   Networks and Heterogeneous Media

Time-Evolving Measures and Macroscopic Modeling of Pedestrian Flow

(2010) Benedetto Piccoli et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

A nonlinear structured population model: Lipschitz continuity of measure-valued solutions with respect to model ingredients

(2010) Piotr Gwiazda et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

STRUCTURED POPULATION EQUATIONS IN METRIC SPACES

(2010) PIOTR GWIAZDA et al.   Journal of Hyperbolic Differential Equations

A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE

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

Pedestrian flows in bounded domains with obstacles

(2009) Benedetto Piccoli et al.   CONTINUUM MECHANICS AND THERMODYNAMICS

A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions

(2009) Alessio Figalli et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES