Quasi-neutral limit and the boundary layer problem of Planck-Nernst-Poisson-Navier-Stokes equations for electro-hydrodynamics

DOI10.1016/j.jde.2019.04.011zbMath1417.35144OpenAlexW2942620760MaRDI QIDQ2420521

Chundi Liu, Limin Jiang, Shu Wang

Publication date: 6 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.jde.2019.04.011

zbMATH Keywords

\({\lambda}\)-weighted entropy functionalincompressible Planck-Nernst-Poisson-Navier-Stokes equationsquasineutral limit and boundary layer

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Degenerate parabolic equations (35K65) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (6)

Stability of the nonconstant stationary solution to the Poisson-Nernst-Planck-Navier-Stokes equations ⋮ A linear, second-order accurate, positivity-preserving and unconditionally energy stable scheme for the Navier-Stokes-Poisson-Nernst-Planck system ⋮ Stability of the nonconstant stationary solution to the damped Poisson–Nernst–Planck–Euler equations ⋮ Global solutions to compressible Navier-Stokes-Poisson and Euler-Poisson equations of plasma on exterior domains ⋮ Optimal decay rates of the solution for generalized Poisson-Nernst-Planck-Navier-Stokes equations in \(\mathbb{R}^3\) ⋮ Global smooth solutions of the Nernst-Planck-Darcy system

Cites Work

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• Well-posedness on a new hydrodynamic model of the fluid with the dilute charged particles
• Convergence of the Vlasov-Poisson-Fokker-Planck system to the incompressible Euler equations
• Combined quasineutral and inviscid limit of the Vlasov-Poisson-Fokker-Planck system
• Quasineutral limit of the electro-diffusion model arising in electrohydrodynamics
• The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors.
• Invariant regions for the Nernst-Planck equations
• Quasi-neutral limit of a nonlinear drift diffusion model for semiconductors
• Mathematical models for the deformation of electrolyte droplets
• Quasineutral limit of a time-dependent drift-diffusion-Poisson model for p-n junction semiconductor devices
• The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model
• FROM VLASOV-POISSON SYSTEM TO THE INCOMPRESSIBLE EULER SYSTEM
• A Generalized Poisson--Nernst--Planck--Navier--Stokes Model on the Fluid with the Crowded Charged Particles: Derivation and Its Well-Posedness
• The Mixed Layer Problem and Quasi-Neutral Limit of the Drift-Diffusion Model for Semiconductors
• Quasineutral Limit of Euler–Poisson System with and without Viscosity
• Quasineutral limit of an euler-poisson system arising from plasma physics
• ANALYTICAL APPROACHES TO CHARGE TRANSPORT IN A MOVING MEDIUM
• convergence of the vlasov-poisson system to the incompressible euler equations
• Quasi-neutral Limit of the Drift Diffusion Models for Semiconductors: The Case of General Sign-Changing Doping Profile
• The Convergence of the Navier–Stokes–Poisson System to the Incompressible Euler Equations
• Convergence of the Navier–Stokes–Poisson system to the incompressible Navier–Stokes equations
• Nonlinear partial differential equations with applications
• On singular limits of mean-field equations.

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