Maarten McKubre - Jordens
Doctor of Philosophy, (Mathematics)
Study Completed: 2010
College of Sciences
Citation
Thesis Title
Minimising weighted mean distortion
Mr McKubre-Jordens鈥檚 research provides a formal proof to natural generalisations of mathematician Johannes Nitsche鈥檚 conjecture concerning the existence, or lack thereof, of harmonic mappings. His theoretical analysis of this proof produces mathematical models of elasticity that show why and how minimum energy deformations fail to exist in a variety of physically relevant scenarios. Mr McKubre-Jordens鈥檚 research also proves for the first time that when these deformations do exist, they inherit symmetries of the related energy functionals.
Supervisors
Distinguished Professor Gaven Martin
Professor Carlo Laing
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Last updated on Monday 04 April 2022