Convergence to Equilibrium in Wasserstein Distance for Damped Euler Equations with Interaction Forces

Trend to Equilibrium for a Delay Vlasov--Fokker--Planck Equation and Explicit Decay Estimates

(2017) Axel Klar et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

On the pressureless damped Euler–Poisson equations with quadratic confinement: Critical thresholds and large-time behavior

(2016) José A. Carrillo et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Critical thresholds in 1D Euler equations with non-local forces

(2016) José A. Carrillo et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Existence of Compactly Supported Global Minimisers for the Interaction Energy

(2015) José A. Cañizo et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Hypocoercivity for linear kinetic equations conserving mass

(2015) Jean Dolbeault et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Nonlinear Diffusion: Geodesic Convexity is Equivalent to Wasserstein Contraction

(2014) François Bolley et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Contagion Shocks in One Dimension

(2014) Andrea L. Bertozzi et al.   JOURNAL OF STATISTICAL PHYSICS

Approximate models for stochastic dynamic systems with velocities on the sphere and associated Fokker--Planck equations

(2014) Axel Klar et al.   Kinetic and Related Models

An entropy functional and explicit decay rates for a nonlinear partially dissipative hyperbolic system

(2014) A. Klar et al.   ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik

Dimensionality of Local Minimizers of the Interaction Energy

(2013) D. Balagué et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Emergent behaviour in multi-particle systems with non-local interactions

(2013) Theodore Kolokolnikov et al.   PHYSICA D-NONLINEAR PHENOMENA

A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity

(2012) José A. Carrillo et al.   ADVANCES IN MATHEMATICS

Uniform Convergence to Equilibrium for Granular Media

(2012) François Bolley et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Sticky particle dynamics with interactions

(2012) Y. Brenier et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Convergence to equilibrium in Wasserstein distance for Fokker–Planck equations

(2012) François Bolley et al.   JOURNAL OF FUNCTIONAL ANALYSIS

The Overdamped Limit of Dynamic Density Functional Theory: Rigorous Results

(2012) B. D. Goddard et al.   MULTISCALE MODELING & SIMULATION

The strong relaxation limit of the multidimensional Euler equations

(2012) Chunjin Lin et al.   NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

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

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

L 1 Convergence to the Barenblatt Solution for Compressible Euler Equations with Damping

(2010) Feimin Huang et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Lp theory for the multidimensional aggregation equation

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

Lp convergence rates of planar waves for multi-dimensional Euler equations with damping

(2009) Jie Liao et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

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

(2009) Andrea L Bertozzi et al.   NONLINEARITY

Global $BV$ Solutions for the P-System with Frictional Damping

(2009) Constantine M. Dafermos et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

A Wasserstein Approach to the One-Dimensional Sticky Particle System

(2009) Luca Natile et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces

(2008) Stefano Lisini   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Existence and asymptotic behavior of C1 solutions to the multi-dimensional compressible Euler equations with damping

(2007) Daoyuan Fang et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS