James C. Robinson

activity

20062021

most citedLocal existence for the non-resistive MHD equations in nearly optimal Sobolev spaces

128 citations · 387 across the 40 of their papers we have counts for

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Showing 2015 · math.APShow all

2 papers · 2 filters

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.AP2015

Local existence for the non-resistive MHD equations in Besov spaces

Jean-Yves Chemin, David S. McCormick, James C. Robinson +1

In this paper we prove the existence of solutions to the viscous, non-resistive magnetohydrodynamics (MHD) equations on the whole of $R^{n}$ , $n = 2, 3$ , for divergence-free…

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

Local existence for the non-resistive MHD equations in Besov spaces

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