Global-in-time mean-field convergence for singular Riesz-type diffusive flows
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Publication:6103987
DOI10.1214/22-aap1833zbMath1516.35414arXiv2108.09878OpenAlexW3195252972MaRDI QIDQ6103987
Matthew Rosenzweig, Sylvia Serfaty
Publication date: 5 June 2023
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.09878
PDEs in connection with fluid mechanics (35Q35) Applications of stochastic analysis (to PDEs, etc.) (60H30) PDEs with randomness, stochastic partial differential equations (35R60) Rate of convergence, degree of approximation (41A25) Vlasov equations (35Q83)
Related Items (5)
Sharp uniform-in-time propagation of chaos ⋮ Quantitative propagation of chaos for the mixed-sign viscous vortex model on the torus ⋮ Uniform-in-time propagation of chaos for kinetic mean field Langevin dynamics ⋮ Mean field limit and quantitative estimates with singular attractive kernels ⋮ Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions
Cites Work
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- A nonlocal continuum model for biological aggregation
- Mean field limit and propagation of chaos for Vlasov systems with bounded forces
- A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity
- Propagation of chaos for the 2D viscous vortex model
- Propagation of chaos for a subcritical Keller-Segel model
- A new model for self-organized dynamics and its flocking behavior
- Extremals of functionals with competing symmetries
- A lower bound for fundamental solutions of the heat convection equations
- Diffusion processes with generators of generalized divergence form
- Some integral identities and inequalities for entire functions and their application to the coherent state transform
- Mathematical theory of incompressible nonviscous fluids
- Convergence to equilibrium for granular media equations and their Euler schemes
- Stochastic particle approximation of the Keller-Segel equation and two-dimensional generalization of Bessel processes
- Quantitative estimates of propagation of chaos for stochastic systems with \(W^{-1,\infty}\) kernels
- Propagation of chaos for the two-dimensional Navier-Stokes equation
- Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the 2-D Navier-Stokes equation
- Mean-field convergence of point vortices to the incompressible Euler equation with vorticity in \(L^\infty\)
- Modulated free energy and mean field limit
- Mean field limit for Coulomb-type flows
- A new approach to quantitative propagation of chaos for drift, diffusion and jump processes
- On mean-field limits and quantitative estimates with a large class of singular kernels: application to the Patlak-Keller-Segel model
- A review of the mean field limits for Vlasov equations
- Propagation of chaos for large Brownian particle system with Coulomb interaction
- A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators
- Probabilistic approach for granular media equations in the non-uniformly convex case
- On Kac's chaos and related problems
- Global stability of vortex solutions of the two-dimensional Navier-Stokes equation
- Higher-Dimensional Coulomb Gases and Renormalized Energy Functionals
- STOCHASTIC MEAN-FIELD LIMIT: NON-LIPSCHITZ FORCES AND SWARMING
- Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations
- Continuity of Solutions of Parabolic and Elliptic Equations
- WASSERSTEIN DISTANCES FOR VORTICES APPROXIMATION OF EULER-TYPE EQUATIONS
- Explicit Constants for Gaussian Upper Bounds on Heat Kernels
- Logarithmic Sobolev Inequalities
- Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
- Propagation of Chaos for a Class of First Order Models with Singular Mean Field Interactions
- Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation
- A mean field view of the landscape of two-layer neural networks
- Trainability and Accuracy of Artificial Neural Networks: An Interacting Particle System Approach
- An elementary approach to uniform in time propagation of chaos
- Classical Fourier Analysis
- Modern Fourier Analysis
- On the mean field limit for Brownian particles with Coulomb interaction in 3D
- Mean-Field Limits for Some Riesz Interaction Gradient Flows
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