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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

Teaching 2017/2018:

Publications:

  • A sufficient integral condition for local regularity of solutions to the surface growth model, 2018 (PDF),
  • (with J. Robinson) Partial regularity for a surface growth model, 2017 (PDF),
  • On weak solutions to the Navier-Stokes inequality with internal singularities, 2017 (PDF),
  • (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 (PDF),
  • The Lagrange multiplier and the stationary Stokes equations, J. Appl. Anal. 23(2), pp. 137-140, 2017 (DOI,PDF),
  • A generalised comparison principle for the Monge-Ampère equation and the pressure in 2D fluid flows, C. R. Math. Acad. Sci. Paris 356(2), pp. 198-206, 2018 (DOI,PDF),
  • (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