Parabolic-elliptic system modeling biological ion channels
DOI10.1016/j.jde.2021.04.030zbMath1472.35230OpenAlexW3157531192WikidataQ112159974 ScholiaQ112159974MaRDI QIDQ2034012
Publication date: 18 June 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.04.030
existence and regularity of solutionsdrift-diffusion systemsChang-Jaffé boundary conditionssystem of Nernst-Planck-Poisson typetransport of ions
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Poisson-Nernst-Planck systems for narrow tubular-like membrane channels
- Functional analysis, Sobolev spaces and partial differential equations
- The diffusion of a population partly driven by its preferences
- Uniqueness of steady states and asymptotic behavior of solutions of a liquid junction model with insulation
- On the Nernst-Planck-Navier-Stokes system
- Poisson-Nernst-Planck systems for ion flow with density functional theory for hard-sphere potential: I-V relations and critical potentials. I: Analysis
- Global existence of the non-isothermal Poisson-Nernst-Planck-Fourier system
- One-dimensional steady-state Poisson-Nernst-Planck systems for ion channels with multiple ion species
- Difference methods for parabolic equations with Robin condition
- A Generalized Poisson--Nernst--Planck--Navier--Stokes Model on the Fluid with the Crowded Charged Particles: Derivation and Its Well-Posedness
- Singular perturbation analysis of the steady-state Poisson–Nernst–Planck system: Applications to ion channels
- Continuum electrostatics for ionic solutions with non-uniform ionic sizes
- On Existence, Uniqueness and Asymptotic Behavior of Solutions of the Basic Equations for Carrier Transport in Semiconductors
- Consistency of Semiconductor Modeling: An Existence/Stability Analysis for the Stationary Van Roosbroeck System
- Multiple Steady-State Solutions in a Multijunction Semiconductor Device
- The Debye system: existence and large time behavior of solutions
- Qualitative Properties of Steady-State Poisson--Nernst--Planck Systems: Perturbation and Simulation Study
- On local weak solutions to Nernst–Planck–Poisson system
- Existence and asymptotics of solutions for a parabolic-elliptic system with nonlinear no-flux boundary conditions
- DIFFERENCE METHODS TO ONE AND MULTIDIMENSIONAL INTERDIFFUSION MODELS WITH VEGARD RULE
- Geometric Singular Perturbation Approach to Steady-State Poisson--Nernst--Planck Systems
- Poisson–Nernst–Planck Systems for Ion Channels with Permanent Charges
- Reversal permanent charge and reversal potential: case studies via classical Poisson–Nernst–Planck models
- Nonlinear partial differential equations with applications