Bernard Nowakowski

Assistant Professor


Institute of Mathematics
Polish Academy of Sciences
Śniadeckich 8
00-656 Warszawa, Poland
e-mail:

Intrests:

I am a young mathematician (PhD in 2011) working primarily on the problem of regularity of weak solutions to Navier-Stokes equations. I believe classical science can largely benefit from advances in modern computing. In my research I combine theoretical interests with proficient computer and programing skills and enjoy how one profits from the other.

Since 2013 I have been visiting The University of Iowa, working on a variety of problems and broadening my knowledge. My current topics include:

  • regularity problems of weak solutions to Navier-Stokes, magnetohydrodynamics and micropolar fluid equations,
  • stability of incompressible Navier-Stokes like systems,
  • forming and checking new hypotheses regarding properties of solutions to NSE using computer-assisted approach.

Publications:

  • (with W. Zajączkowski) Stability of two-dimensional magnetohydrodynamic motions in the periodic case, Math. Meth. Appli. Sci, (2015), accepted
  • Global existence of strong solutions to micropolar equations in cylindrical domains, Math. Met. Appl. Sci., 38, (2014), No. 2, 311—329, (link)
  • Long-time behavior of micropolar equations in cylindrical domains, Nonlinear Anal. Real World Appl., 14, (2013), No. 6, 2166—2179, (link)
  • (with W. Zajączkowski) Very weak solutions to the boundary-value problem of the homogenous heat equation, Z. Anal. Anwend. 32, (2013), No. 2, 129—153, (link)
  • Large time existence of strong solutions to micropolar equations in cylindrical domains, Nonlinear Anal. Real World Appl. 14, (2013), No. 1, 635—660, (link)
  • (with W. Zajączkowski) Global existence of solutions to Navier-Stokes equations in cylindrical domains, Appl. Math. (Warsaw) 36, (2009), No. 2, 169—182, (link)
  • (with W. Zajączkowski) Global attractor for Navier-Stokes equations in cylindrical domains, Appl. Math. (Warsaw) 36, (2009), No. 2, 183—194, (link)