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20052023
most citedA stochastic Lagrangian representation of the 3-dimensional incompressible Navier-Stokes equations

115 citations · 423 across the 31 of their papers we have counts for

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Showing 2008Show all

2 papers · 1 filter

math.PR2008★ 1 cited

The regularizing effects of resetting in a particle system for the Burgers equation

Gautam Iyer, Alexei Novikov

We study the dissipation mechanism of a stochastic particle system for the Burgers equation. The velocity field of the viscous Burgers and Navier-Stokes equations can be expressed…

math.PR2008★ 12 cited

A stochastic-Lagrangian particle system for the Navier-Stokes equations

Gautam Iyer, Jonathan Mattingly

This paper is based on a formulation of the Navier-Stokes equations developed by P. Constantin and the first author (\texttt{arxiv:math.PR/0511067}, to appear), where the velocity…