Propagation of Chaos for a Class of First Order Models with Singular Mean Field Interactions
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Publication:4614398
DOI10.1137/18M1196662zbMath1418.60054arXiv1610.04327OpenAlexW2534883075MaRDI QIDQ4614398
Robert J. Berman, Magnus Önnheim
Publication date: 31 January 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.04327
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear parabolic equations (35K55) Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs with randomness, stochastic partial differential equations (35R60) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)
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Cites Work
- A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity
- Propagation of chaos for the 2D viscous vortex model
- First-order global asymptotics for confined particles with singular pair repulsion
- Propagation of chaos for a subcritical Keller-Segel model
- Hydrodynamics in two dimensions and vortex theory
- Nonlinear diffusion of dislocation density and self-similar solutions
- Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
- Fekete points and convergence towards equilibrium measures on complex manifolds
- Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing
- Nonlinear porous medium flow with fractional potential pressure
- Finite-time singularities of an aggregation equation in \(\mathbb R^n\) with fractional dissipation
- Existence and stability for Fokker-Planck equations with log-concave reference measure
- Initiation of slime mold aggregation viewed as an instability
- \(N\)-particles approximation of the Vlasov equations with singular potential
- Large random matrices: Lectures on macroscopic asymptotics. École d'Été des Probabilités de Saint-Flour XXXVI -- 2006
- Homogenization of some particle systems with two-body interactions and of the dislocation dynamics
- The Vlasov dynamics and its fluctuations in the \(1/N\) limit of interacting classical particles
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- Gradient flows on nonpositively curved metric spaces and harmonic maps
- Phase segregation dynamics in particle systems with long range interactions. I: Macroscopic limits
- Multivalued Skorohod problem
- Interacting Brownian particles and the Wigner law
- Diffusing particles with electrostatic repulsion
- Distributing many points on a sphere
- A convexity principle for interacting gases
- Propagation of chaos, Wasserstein gradient flows and toric Kähler-Einstein metrics
- Stochastic particle approximation of the Keller-Segel equation and two-dimensional generalization of Bessel processes
- Logarithmic Sobolev inequalities for some nonlinear PDE's.
- Large deviations upper bounds for the laws of matrix-valued processes and non-commutative entropies
- Probabilistic characteristics method for a one-dimensional inviscid scalar conservation law
- Nonlinear martingale problems involving singular integrals
- Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
- Coulomb gases and Ginzburg-Landau vortices
- A new approach to quantitative propagation of chaos for drift, diffusion and jump processes
- Propagation of chaos for the Vlasov-Poisson-Fokker-Planck system in 1D
- A review of the mean field limits for Vlasov equations
- Uniqueness for a weak nonlinear evolution equation and large deviations for diffusing particles with electrostatic repulsion
- Displacement convexity for the generalized orthogonal ensemble
- On Kac's chaos and related problems
- Mean entropy of states in classical statistical mechanics
- Convergence rate for the approximation of the limit law of weakly interacting particles: Application to the Burgers equation
- Large deviation techniques applied to systems with long-range interactions
- Multidimensional diffusion processes.
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- A random particle blob method for the Keller-Segel equation and convergence analysis
- Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations
- Particle approximation of Vlasov equations with singular forces: Propagation of chaos
- A Wasserstein Approach to the One-Dimensional Sticky Particle System
- WASSERSTEIN DISTANCES FOR VORTICES APPROXIMATION OF EULER-TYPE EQUATIONS
- On the McKean-Vlasov Limit for Interacting Diffusions
- Polar factorization and monotone rearrangement of vector‐valued functions
- Sticky Particles and Scalar Conservation Laws
- Statistical mechanics of classical particles with logarithmic interactions
- The Variational Formulation of the Fokker--Planck Equation
- Gamma-convergence of gradient flows with applications to Ginzburg-Landau
- Large deviations from the mckean-vlasov limit for weakly interacting diffusions
- The weak vorticity formulation of the 2-d euler equations and concentration-cancellation
- The point-vortex method for periodic weak solutions of the 2-D Euler equations
- Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D
- A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS
- THE GENERALIZED CAPACITY OF CANTOR SETS
- Mean-Field Limits for Some Riesz Interaction Gradient Flows
- A note on the Hilbert transform
- Free diffusions, free entropy and free Fisher information
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