Water Waves and Beyond
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Jörg Weber
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University of Vienna
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Austria
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Dag Nilsson
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Linnaeus University
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Sweden
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Introduction:
| | Understanding the progression of waves through fluids is one of the most classical problems in mathematics and physics alike. In the context of water waves, either governed by the full Euler or suitable model equations, the vast literature deals primarily with irrotational flows in Euclidean geometry subject to appropriate boundary conditions. This special session focuses on incorporating additional aspects which are extremely important in nature: 1) Vorticity, one of the most important quantities in all of fluid dynamics. Including vortical effects creates substantial new mathematical challenges and has received great attention in recent years. 2) Boundary conditions. Instead of the classical fluid-air interaction (as for water waves), fluid-structure interactions (as in the study of sea ice or blood flow) give rise to various boundary conditions and an emerging field in theory and applications alike. 3) Geophysical aspects. These incorporate large-scale phenomena for which density/temperature stratification and the curvature and rotation of the Earth are salient physical features, and due to its great relevance in reality, this field has experienced rapid development recently. The session aims to bring together leading experts and young researchers working on these topics, with an eye towards analysis, numerics, and applications.
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