# 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

## Research

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.

## Some Activities on Applied Mathematics

#### ECMI (European Consortium for Mathematics in Industry)

- member of the ECMI Educational Committee (2000-2009)
- member of the Scientific Committee of the 17th European Conference on Mathematics for Industry 2012 in Lund (Sweden)

#### International Projects

- member of the Management Committee for the COST Action "Mathematics for Industry Network" (MI-NET),WG1,WG2 (2015 – 2019)
- participant at the European project "Forward Look – Mathematics and Industry" (2009-10)
- external expert at the TEMPUS project "Mathematics Curricula for Technological Development" in the University of Novi Sad, Serbia (2003-2006)

#### Workshops and Modeling Weeks

- member of the Scientific Committee and one of the trainers during the Modeling Week in Nahariya (Israel) in 2017
- participant of the 125th European Study Group with Industry (ESGI) in Limassol (Cyprus) in 2016. Problem ENGINO Toy Sets.
- coorganizer (with prof.Alistair Fitt) of the minisymposium "Mathematical Models of the Eye and Vision" during the 17th European Conference on Mathematics for Industry 2012 in Lund (Sweden)
- one of organizers of the EMS School on Industrial Mathematics in Bedlewo (Poland) in 2010. (lectures and problems)
- organizer of the Forward Look project workshop in Wroclaw (Poland) in 2009.
- one of organizers of the 23rd ECMI Modeling Week in Wroclaw (Poland) in 2009
- one of organizers of the Workshop in Applied Mathematics: "Experiences and Visions for Industrial Mathematics in Industry" in Bedlewo (Poland) in 2006.
- one of the instructors during the Modeling Week in Novi Sad (Serbia) in 2005
- one of the instructors during the 16th ECMI Modeling Week in Kaiserslautern (Germany) in 2002. The supervisor of students modelling a casting problem from the Electrical Measuring Instrument Works - LUMEL in Zielona Gora (Poland)
- organizer of Industry Days in Zielona Gora (Poland) in 2001. Info by prof. Alistair Fitt OCIAM Newsletter 2001 page 7

#### Other

- one of directors of PhD thesis on mathematical modeling of semiconductor fabrication - February 2016 (Spain)
- one of directors of PhD thesis on mathematical modeling of anorexia - December 2003 (Spain)
- supervisor of the high school educational project "Mathematical Modeling as a key to the future - the support of the mathematical education in a grammar-school" (2008-2017)

## Selected Publications

- 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