Plenary Lecture
Symmetry Analysis for Some Equations that Admit Compacton Solutions
Professor Maria Luz Gandarias
Faculty of Science
University of Cádiz Spain
E-mail: marialuz.gandarias@uca.es
Abstract: In this talk we consider some equations that admit compacton solutions induced by a non-convex convection.We derive symmetry reductions and we find some of the reduced ordinary differential equations suitable for a qualitative analysis. By using the multipliers method we find a classification of the low-order conservation laws for these equations.
Brief Biography of the Speaker: Maria Luz Gandarias received her PhD degree (Mathematics) from the University of Sevilla Spain. She joined the University of Cádiz in 1974. Presently she is a full professor in the Department of Mathematical of the University of Cádiz, she has supervised 4 PhD and 2 Masters students to date.
Hers research interests are in the applications of Lie group methods to differential equations. She has published more than 110 research articles with more tan 500 citations, in various international peer-reviewed journals with high impact factors and has delivered research talks at many international conferences. She is on the Editorial boards of some international journals and has reviewed research papers for more than 20 academic journals.