On the Nernst-Planck-Navier-Stokes system
From MaRDI portal
Publication:1738290
DOI10.1007/s00205-018-01345-6zbMath1472.82037arXiv1806.11400OpenAlexW3103055554MaRDI QIDQ1738290
Peter Constantin, Mihaela Ignatova
Publication date: 29 March 2019
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.11400
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of liquids (82D15) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) PDEs in connection with statistical mechanics (35Q82)
Related Items (30)
Existence of Solutions to the Poisson--Nernst--Planck System with Singular Permanent Charges in $\mathbb{R}^2$ ⋮ On the space analyticity of the Nernst-Planck-Navier-Stokes system ⋮ 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 ⋮ Global existence of free-energy solutions to the 2D Patlak-Keller-Segel-Navier-Stokes system with critical and subcritical mass ⋮ On the Global Well-Posedness and Analyticity of Some Electrodiffusion Models in Ideal Fluids and Porous Media ⋮ Global existence and decay rates to a self-consistent chemotaxis-fluid system ⋮ Strong periodic solutions to quasilinear parabolic equations: An approach by the Da Prato–Grisvard theorem ⋮ Emergence of biological transportation networks as a self-regulated process ⋮ 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 ⋮ Long time dynamics of Nernst-Planck-Navier-Stokes systems ⋮ 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 ⋮ Enhanced Dissipation and Blow-Up Suppression in a Chemotaxis-Fluid System ⋮ Global smooth solution for Navier-Stokes/Poisson-Nernst-Planck system in \(\mathbb{R}^2\) ⋮ Existence of \(C^{1,\alpha}\) singular solutions to Euler-Nernst-Planck-Poisson system on \(\mathbb{R}^3\) with free-moving charges ⋮ Existence of weak solutions for porous medium equation with a divergence type of drift term ⋮ Models and Numerical Methods for Electrolyte Flows ⋮ 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 ⋮ Parabolic-elliptic system modeling biological ion channels ⋮ Interior electroneutrality in Nernst-Planck-Navier-Stokes systems ⋮ On the $8\pi$-Critical-Mass Threshold of a Patlak--Keller--Segel--Navier--Stokes System ⋮ Long time finite dimensionality in charged fluids ⋮ Existence and stability of nonequilibrium steady states of Nernst-Planck-Navier-Stokes systems ⋮ Global smooth solutions of the Nernst-Planck-Darcy system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global weak solutions for an incompressible charged fluid with multi-scale couplings: initial-boundary-value problem
- Boundary asymptotics for solutions of the Poisson-Boltzmann equation
- Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems
- Multi-dimensional electrochemistry model
- Global weak solutions in three space dimensions for electrokinetic flow processes
- Electro-osmotic slip and electroconvective instability
- Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
- Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods.
- ANALYTICAL APPROACHES TO CHARGE TRANSPORT IN A MOVING MEDIUM
- Reaction—Diffusion Processes of Electrically Charged Species
- ANALYSIS OF THE NAVIER–STOKES–NERNST–PLANCK–POISSON SYSTEM
- Global Well-Posedness and Stability of Electrokinetic Flows
This page was built for publication: On the Nernst-Planck-Navier-Stokes system
