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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Initial Value Problem and Vortex Sheets: Analysis
and Computation - Ambrose\, D (Drexel University)
DTSTART;TZID=Europe/London:20140806T100000
DTEND;TZID=Europe/London:20140806T123000
UID:TALK53669AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/53669
DESCRIPTION:In this lecture\, we will discuss the irrotational
water wave problem. We will place the problem in
the larger context of vortex sheets\; the vortex s
heet is the interface between two irrotational flu
ids\, allowing for a jump in the tangential compon
ents of velocity across the interface. We will pre
sent the equations of motion in both 2D and 3D\, f
or the water wave problem both with and without su
rface tension. We will present the numerical metho
d of Hou\, Lowengrub\, and Shelley (HLS) for compu
ting solutions of the initial value problem in 2D\
, and how the HLS ideas can be used to prove short
-time well-posedness of the initial value problem.
The corresponding numerical method and well-posed
ness proofs for the three-dimensional problem will
also be discussed. If time allows\, we will go be
yond the initial value problem\, and discuss how t
he vortex sheet formulation with the HLS ideas can
be extended to treat other problems\, such as the
traveling wave problem. This talk includes joint
work with Nader Masmoudi\, Michael Siegel\, Svetla
na Tlupova\, and possibly others.\n\n
LOCATION:CMS\, RM9
CONTACT:Mustapha Amrani
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