Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems
From MaRDI portal
Publication:1588823
DOI10.1007/s000230050003zbMath0976.82046OpenAlexW2128652391MaRDI QIDQ1588823
Publication date: 4 December 2000
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s000230050003
PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of semiconductors (82D37) Statistical mechanics of plasmas (82D10)
Related Items
GEVREY REGULARITY AND TIME DECAY OF THE FRACTIONAL DEBYE-HÜCKEL SYSTEM IN FOURIER-BESOV SPACES, Diffusion limit and the optimal convergence rate of the Vlasov-Poisson-Fokker-Planck system, Structure-preserving and efficient numerical methods for ion transport, Existence of Solutions to the Poisson--Nernst--Planck System with Singular Permanent Charges in $\mathbb{R}^2$, Asymptotic behavior of solutions to the drift-diffusion equation with critical dissipation, Asymptotic expansion of solutions to the drift-diffusion equation with fractional dissipation, A linearized local conservative mixed finite element method for Poisson-Nernst-Planck equations, Boundary asymptotics for a non-neutral electrochemistry model with small Debye length, Global regularity for Nernst–Planck–Navier–Stokes systems with mixed boundary conditions, End-point maximal regularity and its application to two-dimensional Keller-Segel system, Finite time blow up for a solution to system of the drift-diffusion equations in higher dimensions, The time decay rates of the classical solution to the Poisson-Nernst-Planck-Fourier equations in \(\mathbb{R}^3\), A free energy satisfying finite difference method for Poisson-Nernst-Planck equations, Global weak solutions in three space dimensions for electrokinetic flow processes, ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO DRIFT-DIFFUSION SYSTEM WITH GENERALIZED DISSIPATION, Global well-posedness for the 2D Cahn-Hilliard-Boussinesq and a related system on bounded domains, Global and exploding solutions in a model of self-gravitating systems., Poisson-Nernst-Planck systems for narrow tubular-like membrane channels, Exponential Decay Estimates for the Stability of Boundary Layer Solutions to Poisson--Nernst--Planck Systems: One Spatial Dimension Case, A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson-Nernst-Planck equations, Solvability for a drift-diffusion system with Robin boundary conditions, Finite time blow up and non-uniform bound for solutions to a degenerate drift-diffusion equation with the mass critical exponent under non-weight condition, Global existence of the non-isothermal Poisson-Nernst-Planck-Fourier system, Regularity criteria for the 3D dissipative system modeling electro-hydrodynamics, Well-posedness for the Navier-Stokes-Nernst-Planck-Poisson system in Triebel-Lizorkin space and Besov space with negative indices, Global solution to the Cauchy problem of fractional drift diffusion system with power-law nonlinearity, Regularizing and decay rate estimates for solutions to the Cauchy problem of the Debye-Hückel system, A Wasserstein gradient flow approach to Poisson−Nernst−Planck equations, Global existence and temporal decay of large solutions for the Poisson–Nernst–Planck equations in low regularity spaces, 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, Homogenization of the Nernst-Planck-Poisson system by two-scale convergence, Blowup and self-similar solutions for two-component drift-diffusion systems, GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR A SEMICONDUCTOR DRIFT-DIFFUSION-POISSON MODEL, Global existence for diffusion-electromigration systems in space dimension three and higher, Existence of solutions for the Debye-Hückel system with low regularity initial data, A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson-Nernst-Planck systems, Spatial-decay of solutions to the quasi-geostrophic equation with the critical and supercritical dissipation, A model of electrodiffusion and osmotic water flow and its energetic structure, On the Nernst-Planck-Poisson-Boltzmann system resulting from a double-scale homogenization, Diffusion-dominated asymptotics of solution to chemotaxis model, Hydrodynamical limit for a drift-diffusion system modeling large-population dynamics, General properties of the Nernst-Planck-Poisson-Boltzmann system describing electrocapillary effects in porous media, Local averaging based a posteriori finite element error control for quasilinear elliptic problems with application to electrical potential computation, Sensitivity analysis of the Poisson Nernst-Planck equations: a finite element approximation for the sensitive analysis of an electrodiffusion model, On the Nernst-Planck-Navier-Stokes system, Well-posedness of a Debye type system endowed with a full wave equation, Thin layer analysis of a non-local model for the double layer structure, The drift-diffusion system in two-dimensional critical Hardy space, The model reduction of the Vlasov–Poisson–Fokker–Planck system to the Poisson–Nernst–Planck system via the Deep Neural Network Approach, Very weak solutions for Poisson-Nernst-Planck system, Diffusion limit of kinetic equations for multiple species charged particles, Well-posedness for the drift-diffusion system in \(L^p\) arising from the semiconductor device simulation, A note on the long time behavior for the drift-diffusion-Poisson system, Finite-time blow-up for solutions to a degenerate drift-diffusion equation for a fast-diffusion case, Global regular and singular solutions for a model of gravitating particles, LARGE TIME ASYMPTOTICS OF NONLINEAR DRIFT-DIFFUSION SYSTEMS WITH POISSON COUPLING, Asymptotic expansion of solutions to the drift-diffusion equation with large initial data, Nernst-Planck-Navier-Stokes systems far from equilibrium, Remarks on the local existence of solutions to the Debye system, Well-posedness of a dissipative nonlinear electrohydrodynamic system in modulation spaces, Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system, Mixed finite element method for modified Poisson-Nernst-Planck/Navier-Stokes equations, Global well posedness for a 2D drift–diffusion–Maxwell system, Mathematical challenges in the theory of chemotaxis, Energetically stable discretizations for charge transport and electrokinetic models, On a drift-diffusion system for semiconductor devices, Gevrey regularity of mild solutions to the parabolic-elliptic system of drift-diffusion type in critical Besov spaces, Global existence of solutions for the Poisson-Nernst-Planck system with steric effects, A survey on properties of Nernst-Planck-Poisson system. Application to ionic transport in porous media, The inviscid limit and well-posedness for the Euler–Nernst–Planck–Poisson system, Uniqueness of weak solutions to a non-linear hyperbolic system in electrohydrodynamics, Convergent discretizations for the Nernst-Planck-Poisson system, Stationary solutions to the drift-diffusion model in the whole spaces, \(\mathrm{L}^2\)-hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system, Asymptotic behavior of a solution to the drift-diffusion equation for a fast-diffusion case, Hydrodynamics in an external field, Debye layer in Poisson-Boltzmann model with isolated singularities, Large-time asymptotics for a matrix spin drift-diffusion model, Interior electroneutrality in Nernst-Planck-Navier-Stokes systems, Global existence and asymptotic behavior of self-similar solutions for the Navier-Stokes-Nernst-Planck-Poisson system in \(\mathbb R^3\), An HDG method for the time-dependent drift-diffusion model of semiconductor devices, Improvement of convergence rates for a parabolic system of chemotaxis in the whole space, A positivity-preserving and free energy dissipative hybrid scheme for the Poisson-Nernst-Planck equations on polygonal and polyhedral meshes, Global well-posedness of a dissipative system arising in electrohydrodynamics in negative-order Besov spaces, Long time finite dimensionality in charged fluids, Large Mass Global Solutions for a Class ofL1-Critical Nonlocal Aggregation Equations and Parabolic-Elliptic Patlak-Keller-Segel Models, Asymptotic expansion of solutions to the nonlinear dissipative equation with the anomalous diffusion, Existence and stability of nonequilibrium steady states of Nernst-Planck-Navier-Stokes systems, Threshold of global behavior of solutions to a degenerate drift-diffusion system in between two critical exponents, On the Cauchy problem for the fractional drift-diffusion system in critical Besov spaces, Exponential convergence to equilibrium in a Poisson-Nernst-Planck-type system with nonlinear diffusion
