Mathematical Modeling for Medicine, Sports, and the Environment
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If you have a question about this talk, please contact Raymond E. Goldstein.
Classical mathematical models are used since several decades to describe
complex phenomena in continuum mechanics, with applications in many
diverse fields of engineering and technology.
When complexity becomes a concern, recent developments in multiscale
geometrical modeling and heterogeneous domain decomposition methods have
opened the way to progress in modeling such complex systems as the human
circulatory system and environmental systems. As a matter of fact,
appropriate strategies can be devised to allow for an effective
description of the interaction between large, 3D components, and small
1D branches. Besides, these models allow the simulation of the complex
fluidstructure interaction which govern, e.g., the artery wall
deformation under the pressure pulse.
Similar mathematical equations can be used in a completely different
context, for instance to describe the flow behavior around sailing
boats, with the purpose of optimizing yacht performances.
This talk is part of the Fluid Mechanics (DAMTP) series.
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