Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems
Arnaud Guillin, Pierre Le Bris, Pierre Monmarché
Abstract
We adapt the work of Jabin and Wang (2018) to show the first result of uniform in time propagation of chaos for a class of singular interaction kernels. In particular, our models contain the Biot–Savart kernel on the torus and thus the 2D vortex model.
Topics & Concepts
CHAOS (operating system)VortexStatistical physicsPhysicsMathematicsClassical mechanicsApplied mathematicsComputer scienceMechanicsComputer securityGeometric Analysis and Curvature FlowsStochastic processes and financial applicationsStochastic processes and statistical mechanics