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Constraint equations on compact manifolds with boundary (Join work with Emmanuel Humbert and Ngo Quoc Anh

Initial Data and Evolution Problems in General Relativity November 18, 2013 - November 22, 2013

November 20, 2013 (11:00AM PST - 12:00PM PST)
Speaker(s): Romain Gicquaud (Université de Tours (François Rabelais))
Location: MSRI: Simons Auditorium
Video

Abstract In this talk I will present old and new results on the construction of solutions to the constraint equations with non-constant mean curvature. From previous work with Mattias Dahl and Emmanuel Humbert, it is known that, on closed manifolds, solutions to the conformal constraint equations exist provided that a certain limit equation admits no non-trivial solution. We extend this result to manifolds with boundary with apparent horizon boundary condition
Supplements
19333?type=thumb Gicquaud 185 KB application/pdf Download
Video/Audio Files

v1204

H.264 Video v1204.mp4 313 MB video/mp4 rtsp://videos.msri.org/data/000/019/187/original/v1204.mp4 Download
H.264 Video v1204.m4v 313 MB video/x-m4v Download
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