Global smooth solution for a kind of two-fluid system in plasmas

DOI10.1016/j.jde.2011.12.004zbMath1232.35127OpenAlexW2034931042MaRDI QIDQ664734

Lijia Han, Jingjun Zhang, Bo-ling Guo

Publication date: 2 March 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.12.004

zbMATH Keywords

decay estimatestwo-fluid systemEuler-Poisson system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Multiphase and multicomponent flows (76T99) Statistical mechanics of plasmas (82D10) Euler-Poisson-Darboux equations (35Q05)

Related Items (4)

Stability of stationary solutions to the compressible bipolar Euler-Poisson equations ⋮ Stability of steady states of the compressible Euler-Poisson system in \(\mathbb R^3\) ⋮ Absence of shocks for one dimensional Euler-Poisson system ⋮ Solutions to the 2-dimensional isothermal Euler-Poisson equations with a cosmological constant

Cites Work

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• Global smooth ion dynamics in the Euler-Poisson system
• Smooth irrotational flows in the large to the Euler-Poisson system in \(\mathbb{R}^{3+1}\)
• Decay estimates for a class of wave equations
• SCATTERING THEORY FOR THE GROSS–PITAEVSKII EQUATION IN THREE DIMENSIONS
• Existence of solitary waves for a simplified two fluid system of equations in plasma
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Quasineutral limit of an euler-poisson system arising from plasma physics

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