Quasineutral Limit of the Vlasov-Poisson System with Massless Electrons
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Publication:3094712
DOI10.1080/03605302.2011.555804zbMath1228.35251arXiv1004.0932OpenAlexW4301152767MaRDI QIDQ3094712
Publication date: 25 October 2011
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.0932
relative entropyshallow-water equationsVlasov-Poisson systemquasineutral limitisothermal Eulermassless electronsstrong magnetic field regime
PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Statistical mechanics of plasmas (82D10) Vlasov equations (35Q83)
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Cites Work
- Unnamed Item
- Compressible fluid flow and systems of conservation laws in several space variables
- Uniqueness of the solution to the Vlasov--Poisson system with bounded density
- Hydrodynamic limits: Some improvements of the relative entropy method
- Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
- Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
- Fast singular limits of hyperbolic PDEs
- Oscillatory perturbations of the Navier-Stokes equations
- A geometric approximation to the Euler equations: the Vlasov-Monge-Ampère system
- Incompressible Euler and e-MHD as scaling limits of the Vlasov/Maxwell system
- The Finite Larmor Radius Approximation
- FROM VLASOV-POISSON SYSTEM TO THE INCOMPRESSIBLE EULER SYSTEM
- THE VLASOV–POISSON SYSTEM WITH STRONG MAGNETIC FIELD IN QUASINEUTRAL REGIME
- Weak solutions of the initial value problem for the unmodified non‐linear vlasov equation
- Global existence of smooth solutions to the vlasov poisson system in three dimensions
- Global weak solution of the vlasov–poisson system for small electrons mass
- Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
- Quasineutral limit of an euler-poisson system arising from plasma physics
- convergence of the vlasov-poisson system to the incompressible euler equations
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