Existence and some limit analysis of stationary solutions for a multi-dimensional bipolar Euler-Poisson system

DOI10.3934/DCDSB.2011.16.345zbMath1227.35070OpenAlexW2333403666MaRDI QIDQ553484

Yeping Li

Publication date: 27 July 2011

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2011.16.345

zbMATH Keywords

quasi-neutral limittwo-dimensional modelthree-dimensional modelirrotational subsonic stationary solutionszero-electron-mass limitzero-relaxation-time limit

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Singular perturbations in context of PDEs (35B25) Statistical mechanics of plasmas (82D10) Euler equations (35Q31)

Related Items (7)

Pointwise estimates of solutions for the multi-dimensional bipolar Euler-Poisson system ⋮ Pointwise estimates and \(L^p\) convergence rates to diffusion waves for a one-dimensional bipolar hydrodynamic model ⋮ Stability and \( L^{p}\) convergence rates of planar diffusion waves for three-dimensional bipolar Euler-Poisson systems ⋮ Stability of planar diffusion wave for the three dimensional full bipolar Euler-Poisson system ⋮ Relaxation-time limit in the multi-dimensional bipolar nonisentropic Euler-Poisson systems ⋮ Asymptotic stability of a stationary solution for the bipolar full Euler-Poisson equation in a bounded domain ⋮ Large-time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in the half space

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