Institut für Angewandte Analysis

Dr. Jack Skipper

Scientific Career

  • 2018-present: Postdoc in Applied Analysis, University Ulm, Ulm
  • 2018: Postdoc in Applied Mathematics, Leibniz University Hannover, Hannover
  • 2014-2018: PhD in Mathematics and Statistics, University of Warwick, UK
  • 2013-2014:  Masters in Mathematics and Statistics, University of Warwick, UK
  • 2009-2013: MMath in Mathematics, University of  Warwick, UK
Research Intrests

I am intrested in the study of Partial Differential equations, harmonic analysis and regularity theory focusing mainly on fluid equations. In particular:

  • The Gross–Pitaevskii equation for my masters.
  • The characterisation of Besov spaces.
  • Conservation of energy for the compressible and incompressible Euler equations.
  • Convex integration theory linking to the Euler equations.

Teaching

  • SS 2019: Seminar on the Navier-Stokes Equations

Publications

  • I. Akramov, T. Debiec, J. Skipper, E. Wiedemann: Energy conservation for the compressible Euler and Navier-Stokes equations with vacuum. Preprint, 2018. arXiv
  • James C. Robinson, Jose L. Rodrigo, Jack W.D. Skipper: Energy conservation for the 3D Euler equations on T2 ×R+ for weak solution defined without reference
    to the pressure,     2018 Asymptotic Analysis, to appear. arXiv
  •  James C. Robinson, Jose L. Rodrigo, Jack W.D. Skipper: Energy conservation in the 3D Euler equations on T2 × R+, 2018. In C.L. Fefferman, J.C.Robinson, & J.L.Rodrigo (Eds.) Partial Differential Equations in Fluid Mechanics, LMS Lecture Notes. Cambridge University Press, Cambridge, UK. arXiv
  •  C. Rorai, J. Skipper, R.M. Kerr, K.R. Sreenivasan: Approach and separation of quantum vortices with balanced cores: 2016 J. Fluid Mech. arXiv  
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