Abstract: Similarity analysis of the boundary flow over a flat surface in a non-Newtonian fluid is considered. Many of the non-Newtonian fluids which occur in practical applications, such as molten plastics, polymers, foods exhibit the so-called Ostwald-de-Waele power law nonlinearity.
Introducing the stream function in governing partial differential equations of mathematical models of various physical processes and choosing the similar variables we obtain the boundary value problem for the similar ordinary differential equation or their system. These similar equations have different type of non-linearity and depend on parameters.
We shall study the analytic solutions to different problems: boundary layer flow past a stationary surface or boundary layer flow over a solid surface continuously moving in a fluid, etc.

Brief Biography of the Speaker:
Professor Bognar received the M.Sc. in Mechanical Engineering from University of Miskolc, Miskolc, Hungary, Ph.D. and 'Candidate' degree in mathematics from the Hungarian Academy of Sciences. Since her graduation she has been teaching different subjects of mathematics for undergraduate, graduate and doctoral students at University of Miskolc. She was conferred the postdoctoral lecture qualification (Dr. habil) in 2006. Her research interests include boundary and eigenvalue problems of nonlinear ordinary and partial differential equations. Gabriella Bognar has authored/edited 11 books, and published over 80 research papers. She also serves as the Vice Dean for Research and International Affairs at the Faculty of Mechanical Engineering and Informatics, University of Miskolc.