Mathematics Colloquium: Mike Meylan
Topic: Wave-induced Vibrations of Ice Shelves
I will present methods to model the impact of very long ocean surface waves on ice shelves, primarily waves in the tsunami--infragravity regime. These wave induced vibrations have recently been measured in the Ross Ice Shelf in Antarctica, and there is strong evidence that ocean waves play a role in ice shelf calving (the process which leads to icebergs). I will demonstrate how methods developed to predict the hydroelastic motion of ships can be employed. The analysis is extended from the frequency domain to the time domain, and the resonant behaviour of the system is studied. I will also discuss various interesting mathematical features of this problem.
About the speaker
Associate Professor Mike Meylan (University of Newcastle)
Michael Meylan obtained his B.Sc. and PhD degrees from Otago University, New Zealand, in 1991 and 1994, respectively. He held appointments at Massey University, New Zealand (1999–2003), University of Auckland, New Zealand (2003–2011) and serves currently at The University of Newcastle (Australia). His research is in wave theory, especially the coupling of elasticity and fluids. He has worked extensively in linear hydroelasticity, principally in relation to wave scattering in frozen oceans. He has also worked on applying the theory of generalised eigenfunction expansions and the singularity expansion method to problems in hydrodynamics.