most citedA simple proof of uniqueness of the particle trajectories for solutions of the Navier-Stokes equations

17 citations · 17 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2024

continuity of eigenprojections for 2-d Dirichlet Laplacians under perturbations of the domain

Ryan L. Acosta Babb, James C. Robinson

We generalise results by Lamberti and Lanza de Cristoforis (2005) concerning the continuity of projections onto eigenspaces of self-adjoint differential operators with compact inve…

math.AP2007★ 17 cited

A simple proof of uniqueness of the particle trajectories for solutions of the Navier-Stokes equations

Masoumeh Dashti, James C. Robinson

We give a simple proof of the uniqueness of fluid particle trajectories corresponding to: 1) the solution of the two-dimensional Navier Stokes equations with an initial condition t…

math.AP2007

Numerical verification of regularity in the three-dimensional Navier-Stokes equations

J C Robinson, W Sadowski

Current theoretical results for the three-dimensional Navier--Stokes equations only guarantee that solutions remain regular for all time when the initial enstrophy ($\|Du_0\|^2:=\i…