Non UBC
DSpace
Benoit Pausader
2020-01-01T09:34:31Z
2019-07-04T14:40
(Joint work with Y. Guo, E. Grenier and M. Suzuki) We consider the 2 fluid Euler-Poisson equation in 3d space and show that, when the mass of electron tends to 0, the solutions can be well approximated by the strong limit which solves the (1 fluid) Euler-Poisson equation for ions and an initial layer which disperses the excess electron density and velocity in short time. This is a singular limit, somewhat akin to the low-Mach number problem studied by Klainerman-Majda, Ukai and Metivier-Schochet, but in this case, the dispersive layer comes from a quasilinear equation involving coefficients depending on space and time (in fact depending on the strong limit), and the analysis relies on a local energy decay.
https://circle.library.ubc.ca/rest/handle/2429/73041?expand=metadata
41.0 minutes
video/mp4
Author affiliation: Brown University
Banff (Alta.)
10.14288/1.0387402
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Researcher
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Partial Differential Equations, Fourier Analysis
Derivation of the Ion equation
Moving Image
http://hdl.handle.net/2429/73041