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Jack Skipper

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About Me:

I am a PhD student in the MASDOC programme at Warwick. I am supervised by James Robinson and José Luis Rodrigo.

Before MASDOC I studied the MMaths course at Warwick with my final year project in super-fluid vortices using the GPE with Robert Kerr.

I am from Keston in Kent and my non-mathematical interests include: Ultimate Frisbee, Swimming and Movies.

Mathematical Interests:

My mathematical interests are broadly centred around analysis focusing on harmonic analysis, regularity theory and PDE's. In particular I am interested in energy conservation of fluid equations.

Papers:

From the MMaths project we have:

Rorai, C., Skipper, J., Kerr, R.M. and Sreenivasan, K.R. (2016) ‘Approach and separation of quantised vortices with balanced cores’, Journal of Fluid Mechanics, 808, pp. 641–667. doi: 10.1017/jfm.2016.638. Paper

From the MASDOC program we have:

J. C. Robinson, J. L. Rodrigo, J. W. D. Skipper , 'A simple integral condition for energy conservation in the 3D Euler equations', Submitted, 2016 Preprint arXiv:1611.00181. Paper 

Projects:

I did a group project with fellow MASDOC students Matthew Eggingtion and Jamie Lukins on Model based emission control (MBEC). We produced a report, a postor, and a presentation.

For my Msc project I worked with my current supervisors and produce the following report. In the project we concentrated on understanding different equivalent definitions of Besov spaces in \mathbb{R}^d. We then applied these spaces to problems involving the heat equation and energy conservation of the incompressible Euler equations. Finally we considered how to define Besov spaces to bounded subsets of \mathbb{R}^d.

I have continued my results from the project which resulted in the paper above.

Recently I have been continuing my work developing more results on bounded domains and currently writing a paper on energy conservation of the incompressible Euler equations with boundaries that will be finished shortly.

Talks Given:

Onsager's Conjecture, MASDOC CCA conference 2015, Warwick, 17th April 2015.

A Brief Introduction into Onsager's Conjecture, MASDOC Retreat, St. Briavel's Castle, 18th-20th May 2015.

Energy Conservation of Euler Equations on \mathbb{T}^3 and \mathbb{R}^3_+, St Andrews, 2nd August 2016.

Energy Conservation of the Incompressible Euler Equations, Warwick (Post Graduate Seminar), 19th October 2016.

Conferences Attended:

BMS summer school: Applied Analysis for Materials, TU Berlin, Aug-Sep 2014.

Young Researchers in Mathematics, Warwick, 30th June-3rd July 2014.

MASDOC CCA conference 2015, Warwick, 15th-17th April 2015.

Young Researchers in Mathematics, St Andrews, 1st - 4th August 2016.

PDEs in Fuid Mechanics, Warwick 26th - 30th September 2016.

Teaching:

Term 1, 2014: I was the teaching assistant for MA4J1 Continuum Mechanics, a fourth year maths module at Warwick.

Term 1, 2015: I was the teaching assistant for MA244 Analysis 3, a second year maths module at Warwick. Involved marking.

Supervisions 2015: I supervised two groups of five first year mathematics students at Warwick. Involved marking.

Contact:

Feel free to drop me an email: jack <dot> skipper <The normal symbol> warwick <dot> ac <dot> uk

My office is B3.04, Warwick Mathematical Institute, Zeeman building.