Dr Ben Pooley Research Associate   Office: B2.16 Phone: +44 (0)24 765 73420 Email: B dot Pooley at warwick dot ac dot uk

Teaching responsibilities 2018/19:

None.

About

Having completed my PhD in 2016 (supervised by James Robinson), I began a position as a postdoctoral researcher, working with Jose Rodrigo (his grant: ERC 616797).

My current projects include work on possible analytical approaches to the evolution of vortex tubes for the 3D Euler equations as well as work on algorithms to calculate functional convex hulls, with a view to applications in convex integration techniques.

Publications

• On a model for the Navier-Stokes equations using magnetization variables. (J. Differential Equations (2018), DOI: 10.1016/j.jde.2017.12.036) Preprint
  
• Leray's fundamental work on the Navier-Stokes equations: a modern review of "Sur le mouvement d'un liquide visqueux emplissant l'espace" (with Wojciech S. Ożański, in preparation) Preprint
  
• On some alternative formulations of the Euler and Navier-Stokes equations. (PhD thesis, Warwick 2016)

• Well-posedness for the diusive 3D Burgers equations with initial data in H^{1/2}. (with James Robinson. In "Recent progress in the theory of the Euler and Navier-Stokes equations.", eds. Robinson, Rodrigo, Sadowski and Vidal-López, CUP 2016)

• An Eulerian-Lagrangian Form for the Euler Equations in Sobolev Spaces. (with James Robinson. J. Math. Fluid Mech. 18 (2016), DOI: 10.1007/s00021-016-0271-8)
  

• Upper Bounds on the Cross-Sectional Volumes of Cubes and Other Problems (MMath dissertation, 2012)

Conferences organised

I was on the organising committee for YRM 2014 which was held at the University of Warwick in June/July 2014.

CV

For further information, a version of my CV can be found here.