Wojciech Okrasiński

full title: prof. dr hab. Wojciech Okrasinski
e-mail: wojciech.okrasinski /at/ pwr.edu.pl

Author of over 60 research papers on pure and applied mathematics, mathematical modeling and computational methods in physics and chemical engineering.

A couple of my adventures with mathematical modeling in Polish - April 2017

For students



The research is inspired by problems related with applications of mathematics in science, physics and engineering. One can distinguish the following directions of studies:

  • nonlinear analytic methods related with the solvability and blow-up solutions of some nonlinear integral and differential equations
  • nonlinear diffusion equations and their applications
  • mathematical models in thermodynamics of fluids and their applications in chemical engineering
  • mathematical models in ophthalmology
  • mathematical modeling related directly with industrial problems

Other topics of interest:

  • mathematical questions in ecology, biology and medicine
  • numerical methods.

ECMI (European Consortium for Mathematics in Industry)

International Projects

Workshops and Modeling Weeks

Other

  • W. Okrasiński and Ł. Płociniczak, Solution estimates for a system of nonlinear integral equations arising in optometry, J.Integral Equations Appl. 30 (2018) 167–179
  • W. Okrasiński, Ł. Płociniczak, J. Nieto and O. Dominguez, On a nonlinear boundary value problem modeling corneal shape, J. Math. Anal. Appl 414 (2014) 461–471
  • W. Okrasiński and Ł. Płociniczak, A nonlinear mathematical model of the corneal shape, Nonlinear Anal. Real World Appl. 13 (2012) 1498–1505
  • T. Małolepszy and W. Okrasiński, Conditions for blow-up of solutions of some nonlinear Volterra integral equations, J. Comput. Appl. Math. 205 (2007) 744-750
  • W. Mydlarczyk, W. Okrasiński and C. A. Roberts, Blow-up solutions to a system of nonlinear Volterra equations, J. Math. Anal. Appl. 301 (2005) 208-218
  • F. Cuadros, A. Mulero, W. Okrasiński, C. Faúndez and M. I. Parra, VLE molecular thermodynamics of nonpolar fluids and their mixtures, Rev. Chem. Eng. 19 (2003) 387-429
  • W. Okrasiński, M. I. Parra and F. Cuadros, Mathematical modeling of the VLE curve of Lennard-Jones fluid. Application to calculating the vapour pressure, Phys. Lett. A 282 (2001) 36-42
  • W. Okrasiński, On approximate solutions to some nonlinear diffusion problems, Z. Angew. Math. Phys. 44 (1993) 722-731
  • W. Okrasiński, Nontrivial solutions to nonlinear Volterra integral equations, SIAM J.Math.Anal. 22 (1991) 1007-1015
  • P.J. Bushell and W. Okrasiński, Uniqueness of solutions for a class of nonlinear Volterra integral equations with convolution kernel, Math. Proc. Camb. Philos. Soc. 106 (1989) 547-552
  • J. Goncerzewicz, H. Marcinkowska, W. Okrasiński and K. Tabisz, On the percolation of water from a cylindrical reservoir into surrounding soil, Appl. Math. 16 (1978) 249-261