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DTSTAMP:20181127T212500Z
DTSTART;TZID=America/Los_Angeles:20181203T161000
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SUMMARY:Analysis and PDE Seminar: A mathematical framework for proving existence of weak solutions to a class of nonlinear parabolic-hyperbolic moving boundary problems
UID:121729-ucb-events-calendar@berkeley.edu
ORGANIZER;CN="UC Berkeley Calendar Network":
LOCATION:740 Evans Hall
DESCRIPTION:Suncica Canic\, UC Berkeley\n\nThe focus of this talk will be on nonlinear moving-boundary problems involving incompressible\, viscous fluids and elastic structures. The fluid and structure are coupled via two sets of coupling conditions\, which are imposed on a deformed fluid-structure interface. The main difficulty in studying this class of problems stems from the strong geometric nonlinearity due to the nonlinear fluid-structure coupling. We have recently developed a robust framework for proving existence of weak solutions to this class of problems\, allowing the treatment of various structures (Koiter shell\, multi-layered composite structures\, mesh-supported structures)\, and various coupling conditions (no-slip and Navier slip). The existence proofs are constructive: they are based on Rothe’s method (semi- discretization in time)\, and on our generalization of the Lions-Aubin-Simon’s compactness lemma to moving boundary problems. Applications of this strategy to the simulations of real-life problems will be shown. A new problem involving a design of bioartificial pancreas (together with Dr. Roy of UCSD Bioengineering) will be discussed.\n\nThis is a joint work with B. Muha\, University of Zagreb in Croatia.
URL:http://events.berkeley.edu/index.php/calendar/sn/pubaff.html?event_ID=121729&view=preview
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