2015/02/27 by Julien Barré, Barré, Julien, David Chiron +5 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Statistical Mechanics and Entropy #math-ph #math.AP #math.MP
paper · pdf · doi:10.48550/arxiv.1502.07890
39 pages, 3 figures
arxiv created 2015/02/27 · openalex publication_date 2015/02/27 · arxiv updated 2015/03/02 · openalex created_date 2019/07/30 · openalex updated_date 2026/07/28
We study the asymptotic regime of strong electric fields that leads from the Vlasov-Poisson system to the Incompressible Euler equations. We also deal with the Vlasov-Poisson-Fokker-Planck system which induces dissipative effects. The originality consists in considering a situation with a finite total charge confined by a strong external field. In turn, the limiting equation is set in a bounded domain, the shape of which is determined by the external confining potential. The analysis extends to the situation where the limiting density is non-homogeneous and where the Euler equation is replaced by the Lake Equation, also called Anelastic Equation.