Intrests:
I am a young mathematician (PhD in 2011) working primarily on the problem of regularity of weak solutions to NavierStokes 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 NavierStokes, magnetohydrodynamics and micropolar fluid equations,

stability of incompressible NavierStokes like systems,

forming and checking new hypotheses regarding properties of solutions to NSE using computerassisted approach.
Publications:

(with W. Zajączkowski) Stability of twodimensional 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)

Longtime 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 boundaryvalue 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 NavierStokes equations in cylindrical domains, Appl. Math. (Warsaw) 36, (2009), No. 2, 169—182, (link)

(with W. Zajączkowski) Global attractor for NavierStokes equations in cylindrical domains, Appl. Math. (Warsaw) 36, (2009), No. 2, 183—194, (link)