Global Well-Posedness and Stability of Electrokinetic Flows
From MaRDI portal
Publication:5495248
DOI10.1137/120880926zbMath1354.76064arXiv1206.1457OpenAlexW2047945688MaRDI QIDQ5495248
No author found.
Publication date: 31 July 2014
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.1457
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)
Related Items
Global regularity for Nernst–Planck–Navier–Stokes systems with mixed boundary conditions ⋮ Stability of the nonconstant stationary solution to the Poisson-Nernst-Planck-Navier-Stokes equations ⋮ Well-posedness on a new hydrodynamic model of the fluid with the dilute charged particles ⋮ Global weak solutions in three space dimensions for electrokinetic flow processes ⋮ Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous medium ⋮ Global-in-time existence for liquid mixtures subject to a generalised incompressibility constraint ⋮ Maximal mixed parabolic–hyperbolic regularity for the full equations of multicomponent fluid dynamics ⋮ Three-species drift-diffusion models for memristors ⋮ Green's function and pointwise estimate for a generalized Poisson‐Nernst‐Planck‐Navier‐Stokes model in dimension three ⋮ Strong periodic solutions to quasilinear parabolic equations: An approach by the Da Prato–Grisvard theorem ⋮ Dynamics of Poisson-Nernst-Planck Systems and Ionic Flows Through Ion Channels: A Review ⋮ Error estimates for the finite element method of the Navier-Stokes-Poisson-Nernst-Planck equations ⋮ Stability of the nonconstant stationary solution to the damped Poisson–Nernst–Planck–Euler equations ⋮ Global solutions to the Nernst-Planck-Euler system on bounded domain ⋮ Efficient time-stepping schemes for the Navier-Stokes-Nernst-Planck-Poisson equations ⋮ Global smooth solution for Navier-Stokes/Poisson-Nernst-Planck system in \(\mathbb{R}^2\) ⋮ Large-time asymptotics for degenerate cross-diffusion population models with volume filling ⋮ Existence of \(C^{1,\alpha}\) singular solutions to Euler-Nernst-Planck-Poisson system on \(\mathbb{R}^3\) with free-moving charges ⋮ Global existence for diffusion-electromigration systems in space dimension three and higher ⋮ Blowup criteria in terms of pressure for the 3D nonlinear dissipative system modeling electro-diffusion ⋮ Models and Numerical Methods for Electrolyte Flows ⋮ On the Nernst-Planck-Navier-Stokes system ⋮ Analysis of an incompressible Navier-Stokes-Maxwell-Stefan system ⋮ Global Solutions of the Nernst--Planck--Euler Equations ⋮ Optimal decay rates of the solution for generalized Poisson-Nernst-Planck-Navier-Stokes equations in \(\mathbb{R}^3\) ⋮ Weak sequential stability for a nonlinear model of nematic electrolytes ⋮ Nernst-Planck-Navier-Stokes systems far from equilibrium ⋮ On a drift-diffusion system for semiconductor devices ⋮ A Generalized Poisson--Nernst--Planck--Navier--Stokes Model on the Fluid with the Crowded Charged Particles: Derivation and Its Well-Posedness ⋮ Interior electroneutrality in Nernst-Planck-Navier-Stokes systems ⋮ Analysis of improved Nernst-Planck-Poisson models of compressible isothermal electrolytes ⋮ Existence and stability of nonequilibrium steady states of Nernst-Planck-Navier-Stokes systems ⋮ Global smooth solutions of the Nernst-Planck-Darcy system ⋮ Asymptotic analysis of charge conserving Poisson-Boltzmann equations with variable dielectric coefficients
