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Mr Wojciech Ozanski

  1 grey head

Wojciech Ożański

Research Fellow
 
Office: C2.09
Phone: +44 (0)24 761 50691
Email: w dot s dot ozanski at warwick dot ac dot uk


Postdoctoral Fellow in the group of José Rodrigo.

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

Education:

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

CV

Teaching 2017/2018:

Publications:

  • Weak solutions to the Navier-Stokes inequality with arbitrary energy profiles, 2018 (PDF),
  • 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 - Jul 2018),
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