Convergence of the Random Vortex Method in Two Dimensions

DOI10.2307/1990992zbMath0664.76024OpenAlexW4237705937MaRDI QIDQ3815708

Ding-Gwo Long

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/1990992

zbMATH Keywords

Euler equationsNavier- Stokes equationsGaussian random walkrandom vortex methodinviscid vortex method

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Large deviations (60F10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (17)

Three-dimensional vortex simulation of time dependent incompressible internal viscous flows ⋮ On the mean-field limit for the Vlasov-Poisson-Fokker-Planck system ⋮ A random particle blob method for the Keller-Segel equation and convergence analysis ⋮ Kinetic energy conservation in 2D vortical flow ⋮ Uniform Approximation of 2 Dimensional Navier--Stokes Equation by Stochastic Interacting Particle Systems ⋮ Particle methods for dispersive equations ⋮ Theoretical and numerical results of a deterministic two-dimensional vortex method. ⋮ A blob method for the aggregation equation ⋮ Long-time estimates in the mean-field limit ⋮ Turbulence calculations in magnetization variables ⋮ Core spreading vortex methods in two-dimensional viscous flows ⋮ A new vortex scheme for viscous flows ⋮ Convergence of Diffusion-Drift Many Particle Systems in Probability Under a Sobolev Norm ⋮ McKean-Vlasov type stochastic differential equations arising from the random vortex method ⋮ Convergence rate for the approximation of the limit law of weakly interacting particles: Application to the Burgers equation ⋮ Convergence of the Random Vortex Method in Two Dimensions ⋮ Error estimate of a random particle blob method for the Keller-Segel equation

Cites Work

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• Hydrodynamics in two dimensions and vortex theory
• Rates of Convergence for Viscous Splitting of the Navier-Stokes Equations
• On Vortex Methods
• Convergence of the random vortex method
• Convergence of the Random Vortex Method in Two Dimensions
• Convergence of Vortex Methods for Euler’s Equations. II
• Vortex Methods. I: Convergence in Three Dimensions
• Convergence of stochastic processes

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