Recent Progress in Free Boundary Problems in Fluid Flow and Fluid-Structure Interactions
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Amjad Tuffaha
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American University of Sharjah
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United Arab Emirates
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Han Liu
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University of Memphis
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USA
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Introduction:
| | 14:00-14:30 pm Marcelo Disconzi
Title: The Einstein-Euler system with a physical vacuum boundary in
spherical symmetry.
Abstract: We establish local well-posedness for the Einstein-Euler system with a physical vacuum boundary in spherical symmetry. Our proof relies on a new way of thinking about Einstein’s equations in spherical symmetry that is well-adapted to the fluid’s characteristics on the free boundary. We also exploit the Einstein constraint
equations in spherical symmetry in a new way, as a tool to understand the evolution
problem. This is joint work with Jared Speck.
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14:30-15:00 pm Chenyun Luo
Title: Small Scale Creation for 2D Capillary Water Waves with Vorticity
Abstract: We study the free boundary Euler equations modeling the motion of capillary water waves in 2D. We construct initial data with a flat initial interface and arbitrarily small velocity, such that the vorticity gradient grows at least double-exponentially for all times during the lifespan of the associated solution. This indicates that generic small rotational initial data will not lead to a small solution for all times, which is a sharp contrast to the irrotational water waves.
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List of abstracts and speakers |
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