James C. Robinson

activity

20102015

most citedOn the continuity of global attractors

3 citations · 4 across the 5 of their papers we have counts for

collaborators

Showing math.APShow all

3 papers · 1 filter

math.AP2015★ 1 cited

Lower bounds on blowing-up solutions of the 3D Navier--Stokes equations in $H ˙^{3/2}$ , $H ˙^{5/2}$ , and $B ˙_{2, 1}^{5/2}$

David S. McCormick, Eric J. Olson, James C. Robinson +3

If $u$ is a smooth solution of the Navier--Stokes equations on $R^{3}$ with first blowup time $T$ , we prove lower bounds for $u$ in the Sobolev spaces $H ˙^{3/2}$ , $\dot…

math.AP2014★ 3 cited

On the continuity of global attractors

Luan Hoang, Eric J. Olson, James C. Robinson

Let $Λ$ be a complete metric space, and let ${S_{λ} (\cdot) : λ \in Λ}$ be a parametrised family of semigroups with global attractors $A_{λ}$ . We assume that there exists a f…

math.AP2010

Finite-dimensional global attractors in Banach spaces

Alexandre N Carvalho, José A Langa, James C Robinson

We provide bounds on the upper box-counting dimension of negatively invariant subsets of Banach spaces, a problem that is easily reduced to covering the image of the unit ball unde…

Lower bounds on blowing-up solutions of the 3D Navier--Stokes equations in H˙3/2, H˙5/2, and B˙2,15/2​

On the continuity of global attractors

Finite-dimensional global attractors in Banach spaces

Lower bounds on blowing-up solutions of the 3D Navier--Stokes equations in $H ˙^{3/2}$ , $H ˙^{5/2}$ , and $B ˙_{2, 1}^{5/2}$