A random space-time birth particle method for 2d vortex equations with external field

DOI10.1090/S0025-5718-08-02097-8zbMath1285.76033MaRDI QIDQ3577010

Sylvie Méléard, Joaquin Fontbona

Publication date: 3 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stochastic analysis applied to problems in fluid mechanics (76M35) Viscous vortex flows (76D17) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (3)

A forward-backward probabilistic algorithm for the incompressible Navier-Stokes equations ⋮ Stochastic vortex method for forced three-dimensional Navier-Stokes equations and pathwise convergence rate ⋮ A probabilistic interpretation and stochastic particle approximations of the 3-dimensional Navier-Stokes equations

Cites Work

• Hydrodynamics in two dimensions and vortex theory
• Classes of solutions of linear systems of partial differential equations of parabolic type
• Propagation of chaos and fluctuations for a moderate model with smooth initial data
• Vortex methods with spatially varying cores
• Diffusion processes associated with nonlinear evolution equations for signed measures
• A probabilistic approach to the two-dimensional Navier-Stokes equations
• Global solutions of two-dimensional Navier-Stokes and Euler equations
• Remarks on the preceding paper by M. Ben-Artzi ``Global solutions of two- dimensional Navier-Stokes and Euler equations
• A trajectorial proof of the vortex method for the two-dimensional Navier-Stokes equation.
• Nonlinear martingale problems involving singular integrals
• Vorticity and Incompressible Flow
• Stochastic differential equations and stochastic flows of diffeomorphisms
• PROBABILISTIC INTERPRETATION AND PARTICLE METHOD FOR VORTEX EQUATIONS WITH NEUMANN’S BOUNDARY CONDITION
• Monte-Carlo approximations for 2d Navier-Stokes equations with measure initial data
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