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Bienvenue - Laboratoire Jacques-Louis Lions




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Internships (10th and 11th grades high school students)
Job shadowing (Year 10, Year 11 students) See

Key figures

Key figures

189 people work at LJLL

90 permanent staff

82 researchers and permanent lecturers

8 engineers, technicians and administrative staff

99 non-permanent staff

73 Phd students

14 Post-doc and ATER

12 emeritus scholars and external collaborators


Figures : March 2019


Stability and interaction with walls for magnetic fusion plasmas


Upcoming seminars  (See events in the agenda)

- Tuesday April 9 2019 at 2pm : Alejandro Alvarez Laguna (CMAP, Ecole Polytechnique)

(attention, unusual schedule)

An asymptotic preserving well-balanced scheme for the isothermal fluid plasma equations in low-temperature plasma applications



We present a novel numerical scheme for the efficient and accurate
resolution of the moment equations for low-temperature plasmas coupled
to Poisson’s equation.
The model considers electrons and ions as separate fluids, comprising the electron inertia and a finite Debye length. The discretization of this system with standard explicit schemes is
constrained to the resolution of the Debye length, the electron plasma
frequency, and the electron sound waves.
In this work we discuss the asymptotic behaviour of the set of equations with respect to two parameters : the electron-to-ion mass ratio and the Debye length. The proposed scheme is based on the Lagrange-projection operator
splitting and it preserves the asymptotic regime where the plasma is
quasi-neutral with massless electrons.
A well-balance treatment of the ion source terms is proposed in order to
tackle problems where the ion temperature is very low compared to this
of electrons.
The scheme proves to significantly improve the accuracy both in the quasi-neutral limit and in the presence of plasma sheaths. As a result, the computational time of the simulation is dramatically
reduced by several orders of magnitude when the plasma is quasi-neutral
as compared to a standard discretization that needs to resolve the small



Seminar room 15-16, 3rd floor, room 309

Laboratoire Jacques Louis Lions

Pierre and Marie Curie University (Paris 6)

4 Place Jussieu, 75252 Paris, FRANCE

You can get easy access to the place with the lift of tower 16, situated on the left when arriving on the campus. mapNouvelle fenêtre




The working group meets on Tuesday at 11:00 a.m. (in principle). All topics concerning mathematical, numerical or physical modelling of magnetic fusion plasmas are possible, with a preference for stability issues and the interaction of the plasma with the edges.

In this section

Translation carried out by the Masters 2 ILTS team