Well-posedness of diffusion-aggregation equations with bounded kernels and their mean-field approximations
From MaRDI portal
Publication:6562660
DOI10.1002/mma.10069MaRDI QIDQ6562660
David J. Prömel, Li Chen, Paul Nikolaev
Publication date: 27 June 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
law of large numbersinteracting particle systemspropagation of chaosMcKean-Vlasov equationsdiffusion-aggregation equationnonlinear nonlocal PDE
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Vlasov equations (35Q83)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A nonlocal continuum model for biological aggregation
- Mean field limit and propagation of chaos for Vlasov systems with bounded forces
- Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns
- Propagation of chaos for a subcritical Keller-Segel model
- Well-posedness of the limiting equation of a noisy consensus model in opinion dynamics
- From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE
- A martingale approach to the law of large numbers for weakly interacting stochastic processes
- Initiation of slime mold aggregation viewed as an instability
- A user's guide to PDE models for chemotaxis
- Functional analysis, Sobolev spaces and partial differential equations
- Stochastic particle approximation of the Keller-Segel equation and two-dimensional generalization of Bessel processes
- Distribution dependent SDEs for Landau type equations
- A simple method for the existence of a density for stochastic evolutions with rough coefficients
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Quantitative estimates of propagation of chaos for stochastic systems with \(W^{-1,\infty}\) kernels
- Well-posedness of distribution dependent SDEs with singular drifts
- Distribution dependent stochastic differential equations
- Propagation of chaos for the Keller-Segel equation with a logarithmic cut-off
- Mean field limit for Coulomb-type flows
- A probabilistic approach for the mean-field limit to the Cucker-Smale model with a singular communication
- 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
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
- A mean field limit for the Vlasov-Poisson system
- Propagation of chaos for the Keller-Segel equation over bounded domains
- On Kac's chaos and related problems
- On the mean-field limit for the Vlasov-Poisson-Fokker-Planck system
- CONTINUOUS OPINION DYNAMICS UNDER BOUNDED CONFIDENCE: A SURVEY
- On the McKean-Vlasov Limit for Interacting Diffusions
- A First Course in Sobolev Spaces
- Learning interacting particle systems: Diffusion parameter estimation for aggregation equations
- Combined mean field limit and non-relativistic limit of Vlasov–Maxwell particle system to Vlasov–Poisson system
- On the mean field limit for Brownian particles with Coulomb interaction in 3D
- Propagation of chaos for the Vlasov–Poisson–Fokker–Planck equation with a polynomial cut-off
- Recovering a Function from a Dini Derivative
- A new type distribution-dependent SDE for singular nonlinear PDE
- Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions
This page was built for publication: Well-posedness of diffusion-aggregation equations with bounded kernels and their mean-field approximations