The combined action of reciprocal and integral-type transformations is here used to sequentially reduce to canonical form a class of nonlinear moving boundary problems involving heterogeneity.Particular such Stefan Problems arise in the percolation of liquids through porous media in soil mechanics.
The areas of major research interest of the speaker are in invariance properties in nonlinear continuum mechanics, the geometry and application of applications of Backlund transformations, in particular, in modern soliton theory.
He is a graduate of Oxford University and was awarded a DSc by the University of Nottingham for his publications in continuum mechanics. Professor Rogers was elected a Fellow of the Australian Academy of Science In 1999 and in 2011 awarded its Hannan Medal for research in Applied and Computational Mathematics.He is a recipient of the Australian Government Centenary Medal. He has held Visiting Professorships at, inter alia, the University of Rome, the Technical University of Denmark, Georgia Institute of Technology, the University of Bologna, the University of Cambridge and the University of Montreal. He is a Life Member of Clare Hall, the University of Cambridge.