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Mathematics Institute

Dr Antoine Choffrut

  1 grey head

Dr Antoine Choffrut

Research Fellow
 
Office: B2.16
Phone: +44 (0)24 765 73420
Email: A.Choffrut@warwick.ac.uk


RESEARCH INTERESTS

I have posted short videos related to my research on the YouTube channel 100-second mathematics.

  • Analysis of PDE
  • Fluid Mechanics (incompressible Euler, Navier-Stokes, Rayleigh-Benard convection, MHD)
  • Transport equations
  • H-Principle, Convex integration, "wild solutions"
  • Calculus of Variations

PUBLICATIONS

Published

  1. Ill-posedness for the cubic nonlinear half-wave equation and other fractional NLS on the real line (with Oana Pocovnicu), International Mathematics Research Notices (2016), doi: 10.1093/imrn/rnw246
  2. A maximal regularity estimate for the non-stationary Stokes equation in the strip (with Camilla Nobili & Felix Otto), Journal of Differential Equations, 260 (2016), no. 7, 5589–5626.
  3. Upper bounds on Nusselt number at finite Prandtl number (with Camilla Nobili & Felix Otto), Journal of Differential Equations, 260 (2016), no. 4, 3860–3880.
  4. Weak solutions to the stationary incompressible Euler equations (with Laszlo Szekelyhidi Jr.), SIAM Journal on Mathematical Analysis (2014) vol. 46, issue 6, pp. 4060–4074.
  5. H-principles for the incompressible Euler equations, Archive for Rational Mechanics and Analysis, 210 (2013), no. 1, pp. 133-163.
  6. Local structure of the set of steady-state solutions to the 2d incompressible Euler equations (with Vladimir Sverak), Geometric and Functional Analysis, Vol. 22, Issue 1 (2012), pp. 136-201.

In preparation

  1. Regularity of Lambda-convex sets in two dimensions (with Benjamin Pooley)
  2. Global structure of the set of steady-state solutions to the 2d incompressible Euler equations (with Herbert Koch)

CV (condensed)

  • 2015 - present
    • Research Fellow, University of Warwick
  • 2013 - 2015
    • Whittaker Research Fellow, University of Edinburgh
  • 2011 - 2013
    • Scientific Researcher, Universität Leipzig
  • 2009 - 2011
    • Hausdorff Center Research Fellow, Universität Bonn
  • 2009 August
    • PhD in Mathematics
    • University of Minnesota, advisor Vladimir Sverak
  • 2003 - 2009
    • Graduate Studies, School of Mathematics, University of Minnesota
  • 2003 July
    • Passed "Oral preliminary examination" towards a PhD in Electrical Engineering (Signal Processing)
    • Department of Electrical and Computer Engineering, University of Wisconsin-Madison
    • I left my PhD in Electrical Engineering unfinished and switched to Mathematics
  • 2001 July
    • MSc in Electrical Engineering
    • University of Wisconsin-Madison, advisor Barry Vanveen
  • 1999 - 2003
    • Graduate Studies, Department of Electrical and Computer Engineering, University of Wisconsin-Madison
  • 2000 September
    • Diplôme d'Ingénieur SUPELEC (equivalent to a BSc in Electrical and Computer Engineering)
  • 1997 - 2000
    • Studies at the Ecole Supérieure d'Electricité (SUPELEC), Rennes (France)
  • 1994 - 1997
    • Lycée Saint-Louis, Paris (France)
    • Classes Préparatoires Scientifiques aux Grandes Ecoles (3/2 M, 5/2 MP*)