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SUMMARY:Non-linear electrodynamics for astrophysical plasmas
DTSTART;VALUE=DATE-TIME:20190510T140000Z
DTEND;VALUE=DATE-TIME:20190510T142000Z
DTSTAMP;VALUE=DATE-TIME:20210116T070034Z
UID:indico-contribution-3403601@indico.cern.ch
DESCRIPTION:Speakers: Marcelo Enrique Rubio (IATE - CONICET)\nIn this work
we study the initial value problem of a non-linear extension of classical
Electromagnetism\, known as "Force-Free Electrodynamics" (FFE). The FFE e
quations describe the dynamics of a diluted plasma near the event horizon
of a rotating black hole. In these astrophysical regions\, magnetic fields
dominate the dynamics when compared with the matter that constitutes thos
e plasmas\, giving rise to an decoupled description for Electromagnetism.\
nAs a starting point\, we consider a covariant formulation of the FFE theo
ry in terms of two scalar potentials\, known as "Euler potentials"\, which
allow a very elegant and precise geometric interpretation of it. The ease
of formulating FFE in terms of two potentials lies in the fact that\, bei
ng the only dynamical variables\, it provides an optimal scenario for its
numerical implementation. In this work we show that this formulation is we
akly hyperbolic\, which means that the system does not have a well posed i
nitial value problem in the usual sense. In this way\, it is not possible
to guarantee uniqueness or continuity during the dynamic evolution\, which
implies that this formulation is not convenient for numerical simulations
.\n\nhttps://indico.cern.ch/event/721602/contributions/3403601/
LOCATION:Naviti Beach Club Varadero Hotel
URL:https://indico.cern.ch/event/721602/contributions/3403601/
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