Asymptotic analysis of charge conserving Poisson-Boltzmann equations with variable dielectric coefficients

DOI10.3934/dcds.2016.36.3251zbMath1335.35046OpenAlexW2524533700MaRDI QIDQ255916

Chiun-Chang Lee

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.3251

zbMATH Keywords

asymptotic blow-up behaviorcharge conserving Poisson-Boltzmanneffect of variable dielectricsPohozaev's identitysmall Debye length

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Integro-partial differential equations (45K05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Nonlinear elliptic equations (35J60) Asymptotic expansions of solutions to PDEs (35C20) Blow-up in context of PDEs (35B44)

Related Items (8)

Existence of Solutions to the Poisson--Nernst--Planck System with Singular Permanent Charges in $\mathbb{R}^2$ ⋮ Boundary asymptotics for a non-neutral electrochemistry model with small Debye length ⋮ Nontrivial boundary structure in a Neumann problem on balls with radii tending to infinity ⋮ On the uniqueness of linear convection-diffusion equations with integral boundary conditions ⋮ Domain-size effects on boundary layers of a nonlocal sinh-Gordon equation ⋮ Thin layer analysis of a non-local model for the double layer structure ⋮ Effects of the bulk volume fraction on solutions of modified Poisson-Boltzmann equations ⋮ Debye layer in Poisson-Boltzmann model with isolated singularities

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