Exponential Decay Estimates for the Stability of Boundary Layer Solutions to Poisson--Nernst--Planck Systems: One Spatial Dimension Case

DOI10.1137/140994095zbMath1321.35089arXiv1506.08211OpenAlexW2962958568MaRDI QIDQ2947449

Chia-Yu Hsieh, Tai-Chia Lin

Publication date: 24 September 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08211

zbMATH Keywords

stabilityboundary layer solutionexponential decay estimateenergy lawPoisson-Nernst-Planck systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) A priori estimates in context of PDEs (35B45)

Related Items

Existence of Solutions to the Poisson--Nernst--Planck System with Singular Permanent Charges in $\mathbb{R}^2$ ⋮ The time decay rates of the classical solution to the Poisson-Nernst-Planck-Fourier equations in \(\mathbb{R}^3\) ⋮ Global existence of the non-isothermal Poisson-Nernst-Planck-Fourier system ⋮ Domain-size effects on boundary layers of a nonlocal sinh-Gordon equation ⋮ Uniform convergence to equilibrium for a family of drift-diffusion models with trap-assisted recombination and the limiting Shockley-Read-Hall model ⋮ Global existence of solutions for the Poisson-Nernst-Planck system with steric effects

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