The initial layer problem of the Euler–Poisson in collisionless plasma

DOI10.1002/mma.9350OpenAlexW4375841047MaRDI QIDQ6143182

Jin-Man He, Ming Ren, Limin Jiang

Publication date: 23 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.9350

zbMATH Keywords

weighted energy methodEuler-Poisson equationsinitial layermultiple scaling asymptotic expansions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Boundary-layer theory for compressible fluids and gas dynamics (76N20)

Cites Work

• On a quasi-neutral approximation to the incompressible Euler equations
• Asymptotic stability of stationary solutions to the Euler-Poisson equations arising in plasma physics
• Smooth irrotational flows in the large to the Euler-Poisson system in \(\mathbb{R}^{3+1}\)
• Quasi-neutral and zero-viscosity limits of Navier-Stokes-Poisson equations in the half-space
• Quasineutral limit of the two-fluid Euler-Poisson system in a bounded domain of \(\mathbb{R}^3\)
• Quasi-neutral limit of the isothermal Naiver-Stokes-Poisson with boundary
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• Quasineutral limit of the pressureless Euler-Poisson equation for ions
• Quasineutral Limit of Euler–Poisson System with and without Viscosity
• Global Existence and Relaxation Limit for Smooth Solutions to the Euler--Poisson Model for Semiconductors
• Initial layer and incompressible limit for Euler–Poisson equation in nonthermal plasma
• The Convergence of the Navier–Stokes–Poisson System to the Incompressible Euler Equations
• Nonlinear partial differential equations with applications

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