J. Guillod

activity

20132026

most citedNumerical investigations of non-uniqueness for the Navier-Stokes initial value problem in borderline spaces

52 citations · 133 across the 13 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.AP2017★ 52 cited

Numerical investigations of non-uniqueness for the Navier-Stokes initial value problem in borderline spaces

Julien Guillod, Vladimír Šverák

We consider the Cauchy problem for the incompressible Navier-Stokes equations in $R^{3}$ for a one-parameter family of explicit scale-invariant axi-symmetric initial data, w…

math.AP2017★ 9 cited

Existence and uniqueness of steady weak solutions to the Navier-Stokes equations in $R^{2}$

Julien Guillod, Peter Wittwer

The existence of weak solutions to the stationary Navier-Stokes equations in the whole plane $R^{2}$ is proven. This particular geometry was the only case left open since th…

Numerical investigations of non-uniqueness for the Navier-Stokes initial value problem in borderline spaces

Existence and uniqueness of steady weak solutions to the Navier-Stokes equations in R2

Existence and uniqueness of steady weak solutions to the Navier-Stokes equations in $R^{2}$