Wojciech Okrasiński

full title: prof. dr hab. Wojciech Okrasinski e-mail: wojciech.okrasinski /at/ pwr.wroc.pl Author of over 60 research papers on pure and applied mathematics, mathematical modeling and computational methods in physics and chemical engineering. For students

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 modeling related directly with industrial problems

Other topics of interest:

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

Some Activities

• member of the ECMI (European Consortium for Mathematics in Industry) Council (2010 - )
• member of the ECMI (European Consortium for Mathematics in Industry) Educational Committee (2000-2009)
• member of the Scientific Committee of the 17th European Conference on Mathematics for Industry 2012 in Lund (Sweden)
• one of organizers on the EMS School on Industrial Mathematics in Bedlewo (Poland) in 2010. (lectures and problems)
• participant at the European project 'Forward Look – Mathematics and Industry' (2009-10).
• organizer of the Forward Look project workshop in Wroclaw (Poland) in 2009.
• one of organizers of the 23^rd ECMI Modelling 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
• external expert at the TEMPUS project “Mathematics Curricula for Technological Development” in the University of Novi Sad, Serbia (2002-2006)
• one of the instructors during the 16^th 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)
• the organizer of Industry Days in Zielona Gora (Poland) in 2001.

Selected Publications

• W. Okrasiński and Ł. Płociniczak, A nonlinear mathematical model of the corneal shape, Nonlinear Anal.-Real 13 (2012) 1498–1505
• T. Małolepszy and W. Okrasiński, Blow-up time for solutions to some nonlinear Volterra integral equations, J. Math. Anal. Appl. 366 (2010) 372-384
• T. Małolepszy and W. Okrasiński, Conditions for blow-up of solutions of some nonlinear Volterra integral equations, Journal of Computational and Applied Mathematics 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
• W. Mydlarczyk and W. Okrasiński, Nonlinear Volterra integral equations with convolution kernels, Bull. London Math. Soc. 35 (2003) 484-490
• F. Cuadros, A. Mulero, W. Okrasiński, C. Faúndez and M. I. Parra, VLE molecular thermodynamics of nonpolar fluids and their mixtures, Reviews in Chemical Engineering 19 (2003) 387-429
• F. Cuadros, W. Okrasiński and M. I. Parra, Modeling evaporation using a nonlinear diffusion equation, Journal of Mathematical Chemistry 30 (2001) 195-202
• W. Mydlarczyk and W. Okrasiński, Positive solutions to a nonlinear Abel-type integral equation on the whole line, Comp.Math. Appl. 41 (2001) 835-842