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UID:13279ba6218f49a405c94abd3978f9fd
CATEGORIES:Hyperbolic & Dispersive PDE Seminar, Nonlinear Analysis
CREATED:20240122T230512
SUMMARY:Hans Ringstrom-- A quiescent regime for big bang formation  (unusual time/day)
LOCATION:Hill 705
DESCRIPTION:<p>Recently, many results concerning stable big bang formation have appeare
 d. Most of the results concern stability of spatially homogeneous and isotr
 opic solutions. However, a recent result of Fournodavlos, Rodnianski and Sp
 eck (FRS) covers the full regime in which stability is to be expected. On t
 he other hand, it is restricted to the stability of spatially homogeneous a
 nd spatially flat solutions. In this talk, I will present a new result (joi
 nt work with Hans Oude Groeniger and Oliver Petersen) in which we identify 
 a general condition on initial data ensuring big bang formation. The soluti
 ons need, in this case, not be close to symmetric background solutions. Mor
 eover, the result reproduces previous results in the Einstein-scalar field 
 and Einstein-vacuum settings. Finally, the result is in the Einstein-non-li
 near scalar field setting, and therefore yields future and past global non-
 linear stability of large classes of spatially locally homogeneous solution
 s.</p>
CONTACT:Hans Ringstrom (KTH)
DTSTAMP:20260907T032807
DTSTART;TZID=America/New_York:20240227T134000
DTEND;TZID=America/New_York:20240227T144000
SEQUENCE:0
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