BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//wp-events-plugin.com//6.4.7.3//EN
TZID:Europe/Paris
X-WR-TIMEZONE:Europe/Paris
BEGIN:VEVENT
UID:7942@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230306T110000
DTEND;TZID=Europe/Paris:20230306T120000
DTSTAMP:20230310T140008Z
URL:https://www.i2m.univ-amu.fr/events/a-bi-species-kinetic-model-for-cyli
ndrical-langmuir-probe-existence-result-and-numerical-analysis/
SUMMARY:A bi-species kinetic model for cylindrical Langmuir probe : existen
ce result and numerical analysis - Ludovic Godard-Cadillac
DESCRIPTION:We study a collisionless kinetic model for plasmas in the neigh
borhood of a cylindrical metallic Langmuir probe. This model consists in a
bi-species Vlasov-Poisson equation in a domain contained between two cyli
nders with prescribed boundary conditions. The interior cylinder models th
e probe while the exterior cylinder models the interaction with the plasma
core. We prove the existence of a weak-strong solution for this model in
the sense that we get a weak solution for the 2 Vlasov equations and a str
ong solution for the Poisson equation. The first parts of this work are de
voted to explain the model and proceed to a detailed study of the Vlasov e
quations. This study then leads to a reformulation of the Poisson equation
as a 1D non-linear and non-local equation and we prove it admits a strong
solution using an iterative fixed-point procedure. Eventually we proceed
to a qualitative description of the solution under the so-called "generali
zed Bohm condition" on the incomming fluxes and a numerical investigatio
n of the obtained equation. Due to technical obstacles\, we mainly focusse
d on the "quasi-radial" fluxes for the numerical analysis\, which turns ou
t to be enough to validate the model. Curves of the obtained trajectories
of particles and curves of the collected current versus the applied voltag
e are presented.
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
022/12/Ludovic_Godard-Cadillac.png
CATEGORIES:Séminaire Analyse Appliquée (AA)
LOCATION:Site Nord\, CMI\, Salle de Séminaire R164 (1er étage)\, 39 Rue J
oliot Curie\, 13013 Marseille\, France\, Campus Château-Gombert\,
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=39 Rue Joliot Curie\, 13013
Marseille\, France\, Campus Château-Gombert\, ;X-APPLE-RADIUS=100;X-TITL
E=Site Nord\, CMI\, Salle de Séminaire R164 (1er étage):geo:0,0
END:VEVENT
BEGIN:VTIMEZONE
TZID:Europe/Paris
X-LIC-LOCATION:Europe/Paris
BEGIN:STANDARD
DTSTART:20221030T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
END:STANDARD
END:VTIMEZONE
END:VCALENDAR