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Wojciech Ozanski

Wojciech Ozanski PhotoWojciech Ożański

Third year PhD student (4th year MASDOC) under the supervision of James Robinson and José Rodrigo.

Office: B3.04

Email: W.S.Ozanski@warwick.ac.uk

Interests: the Navier-Stokes equations, Harmonic Analysis, Functional Analysis, Nonlinear Elliptic PDEs.

Education:

University of Warwick, MASDOC program (SRP dissertation)
University of Oxford, MSc in Mathematical Modelling and Scientific Computing (MSc dissertation)
Warsaw University of Technology, BSc in Mathematics

CV

Publications:

  • (with J. Robinson) Partial regularity for a surface growth model, 2017, arXiv:1710.07625,
  • On weak solutions to the Navier-Stokes inequality with internal singularities, 2017, arXiv:1709.00602,
  • (with B. Pooley) Leray's fundamental work on the Navier-Stokes equations: a modern review of “Sur le mouvement d’un liquide visqueux emplissant l’espace”, 2017, to appear in Partial Differential Equations in Fluid Mechanics, LMS Lecture Notes Series, Cambridge University Press, preprint available at arXiv:1708.09787,
  • The Lagrange multiplier and the stationary Stokes equations, J. Appl. Anal. 23(2), pp. 137-140, 2017, preprint available at arXiv:1703.08216,
  • A generalised comparison principle for the Monge-Ampère equation and the pressure in 2D fluid flows, to appear in C. R. Math. Acad. Sci. Paris, 2017, preprint available at arXiv:1611.06157, 
  • (with K. Chelminski) Partial differential equations (PL: Równania różniczkowe cząstkowe), Warsaw University of Technology Publishing House, ISBN 978-83-7814-405-2, 2015, Link (PL), Contents (PL/EN).

Talks (and poster presentations):

Some short mathematical notes:

  • An introduction to convex integration (pdf)
  • The Fatou lemma and Dominated and Monotone Convergence theorems are equivalent to each other (pdf),

I am grateful for the received financial support:

EPSRC Scholarship within MASDOC (Oct 2014 - )
KAUST
Scholarship at University of Oxford (Oct 2013 - Sep 2014)

EUKLA (European Korean Leadership Alliance) Studentship at Kyungpook National University, South Korea (Feb - Jul 2011)
Warsaw University of Technology Rector's Scholarship (2010/2011, 2011/2012 and 2012/2013)

Some of my nonmathematical work: YouTube channel, photo gallery