Introduction Digital Media Works and the Virtual Environments Laboratory at the University of Southern California (USC) have evolved a basic research and commercial application program aimed at developing virtual reality (VR) technology applications for the study, assessment, and rehabilitation of cognitive and functional processes. This work primarily focuses on the development of systems that...

University – with references and summaries in English and Dutch. i ACKNOWLEDGEMENTS I have received tremendous assistance and encouragement from several people during my PhD studies in both the Netherlands and Zimbabwe. Firstly, I would like to express my gratitude to Prof. dr. A.M.J. Meijerink who accepted the challenge of supervising a student who was going to spend most of the time away from...

We are interested in nite-time blow-up phenomena for heat equations of the type: @u @t = u+ jujp 1u (1) where u : (x; t) 2 RN [0; T )! R, 1 < p, (N 2)p < N + 2. We rst construct for (1) a solution u which blows-up in nite time T at only one blow-up point x0 2 RN , and describe completely its blow-up pro le (or asymptotic behavior). This construction is based on a priori estimates' technique whi...