Zero-mass-electrons limits in hydrodynamic models for plasmas
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Publication:1808494
DOI10.1016/S0893-9659(99)00038-5zbMath0959.76096MaRDI QIDQ1808494
Yue-Jun Peng, Ansgar Jüngel, Thierry Goudon
Publication date: 25 November 1999
Published in: Applied Mathematics Letters (Search for Journal in Brave)
monotonicityEuler equationsnonlinear Poisson equationasymptotic limitkinetic formulationhydrodynamic modelselectronsionscompactness argumentsunmagnetized plasmazero-mass-electrons limits
PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)
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Cites Work
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- The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
- Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
- The bipolar hydrodynamic model for semiconductors and the drift-diffusion equations
- Système Euler-Poisson non linéaire. Existence globale de solutions faibles entropiques
- A Nonlinear Drift ‐ Diffusion System with Electric Convection Arising in Electrophoretic and Semiconductor Modeling
- ON THE EXISTENCE AND UNIQUENESS OF TRANSIENT SOLUTIONS OF A DEGENERATE NONLINEAR DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS
- Weak solutions to a hydrodynamic model for semiconductors: the Cauchy problem
