Introduction to similarity and pseudosimilarity solutions

27 Nov 2018
08:15 - 09:00
Amphi III

Introduction to similarity and pseudosimilarity solutions

The aim of this lecture is to introduce, review and discuss similarity and pseudosimilarity solutions to a class of problems in physics and mechanics. These solutions has proved to play an important role in the development of mathematical theories as well as in numerical computational schemes. Most  remarkable is that similarity and pseudosimilarity solutions are exhibited by solving problems which are expressed in terms of a lower order PDEs or an ODEs. In fact, the idea of finding similarity and pseudosimilarity (or exact solutions) is connected with the transformation of the PDEs to a set of equations which are easier to analyze, in general.