Abstract
The accurate modelling of geophysical flows often requires information that is difficult to measure and therefore poorly quantified. Such information may relate to the fluid properties or an unknown boundary condition, for example. The premise of this talk is that when the flow is bounded by a free surface, the deformation of this free surface contains useful information, which can be used to infer such unknown quantities. The increasing availability of free surface data through remote sensing using drones and satellites provides the impetus to use mathematical methods and numerical tools to interpret the signature embedded in the free surface deformation.In the first part of the talk, we will explore the problem of recovering simultaneously the ice thickness and basal slip of an ice flow governed by the shallow ice approximation. In the second part, using similar techniques, we will show how we can recover rheological parameters for thin-film lava flow.
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