Optimal transport with nonlinear mobilities: a deterministic particle approximation result

Variational methods applied to PDEs (35A15) Theoretical approximation in context of PDEs (35A35) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75) Optimal transportation (49Q22)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
On gradient structures for Markov chains and the passage to Wasserstein gradient flows
Existence of weak solutions to a class of fourth order partial differential equations with Wasserstein gradient structure
An analog of the 2-Wasserstein metric in non-commutative probability under which the fermionic Fokker-Planck equation is gradient flow for the entropy
Cahn-Hilliard and thin film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics
\{Euclidean, metric, and Wasserstein\} gradient flows: an overview
The gradient flow of a generalized Fisher information functional with respect to modified Wasserstein distances
Gradient flows of the entropy for finite Markov chains
Nonlinear mobility continuity equations and generalized displacement convexity
Weak curvature conditions and functional inequalities
On a class of modified Wasserstein distances induced by concave mobility functions defined on bounded intervals
Functional analysis, Sobolev spaces and partial differential equations
Mathematical methods for hydrodynamic limits
Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein metric
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
Gromov-Hausdorff limit of Wasserstein spaces on point clouds
Deterministic particle approximation of aggregation-diffusion equations on unbounded domains
On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility
Homogenisation of one-dimensional discrete optimal transport
Opinion formation systems via deterministic particles approximation
Convergence of the follow-the-leader scheme for scalar conservation laws with space dependent flux
Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit
Ricci curvature for metric-measure spaces via optimal transport
Deterministic particle approximation for nonlocal transport equations with nonlinear mobility
On the geometry of metric measure spaces. I
THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
Gromov--Hausdorff Convergence of Discrete Transportation Metrics
A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems
An augmented Lagrangian approach to Wasserstein gradient flows and applications
Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak–Keller–Segel Model
A Family of Nonlinear Fourth Order Equations of Gradient Flow Type
The Variational Formulation of the Fokker--Planck Equation
Solutions to aggregation–diffusion equations with nonlinear mobility constructed via a deterministic particle approximation
From Poincaré to Logarithmic Sobolev Inequalities: A Gradient Flow Approach
Evolutionary $\Gamma$-Convergence of Entropic Gradient Flow Structures for Fokker--Planck Equations in Multiple Dimensions
Scaling Limits of Discrete Optimal Transport
Nonlinear Cross-Diffusion with Size Exclusion
Homogenisation of dynamical optimal transport on periodic graphs
Entropy Solutions of Mildly Singular Nonlocal Scalar Conservation Laws with Congestion via Deterministic Particle Methods

This page was built for publication: Optimal transport with nonlinear mobilities: a deterministic particle approximation result