Matthew K. Cooper

most citedCritical

O (d)

-equivariant biharmonic maps

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

collaborators

3 papers

math.DG2020

Theory and numerics for Chen's flow of curves

Matthew Cooper, Glen Wheeler, Valentina-Mira Wheeler

In this article we study Chen's flow of curves from theoreical and numerical perspectives. We investigate two settings: that of closed immersed $ω$ -circles, and immersed lines sati…

math.AP2020

Supercritical equivariant biharmonic maps from $R^{5}$ into $S^{5}$

Matthew K. Cooper

We study supercritical $O (d)$ -equivariant biharmonic maps with a focus on $d = 5$ , where $d$ is the dimension of the domain. We give a characterisation of non-trivial equivariant b…

math.AP2013★ 3 cited

Critical $O (d)$ -equivariant biharmonic maps

Matthew K. Cooper

We study $O (d)$ -equivariant biharmonic maps in the critical dimension. A major consequence of our study concerns the corresponding heat flow. More precisely, we prove that blowup o…

Theory and numerics for Chen's flow of curves

Supercritical equivariant biharmonic maps from R5 into S5

Critical O(d)-equivariant biharmonic maps

Supercritical equivariant biharmonic maps from $R^{5}$ into $S^{5}$

Critical $O (d)$ -equivariant biharmonic maps