Debye Layer in Poisson–Boltzmann Model with Isolated Singularities

We show the existence of solutions to the charge conserved Poisson–Boltzmann equation with a Dirichlet boundary condition on ∂ Ω . Here Ω is a smooth simply connected bounded domain in R n with n ⩾ 2 . When n = 2 , the solutions can have isolated singularities at prescribed points in Ω , in which ca...

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Veröffentlicht in:	Archive for rational mechanics and analysis 2020-04, Vol.236 (1), p.289-327
Hauptverfasser:	Hsieh, Chia-Yu, Yu, Yong
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Boltzmann transport equation Boundary conditions Boundary layers Classical Mechanics Complex Systems Dirichlet problem Fluid- and Aerodynamics Mathematical and Computational Physics Physics Physics and Astronomy Singularity (mathematics) Theoretical
Online-Zugang:	Volltext
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