Boundary asymptotics for solutions of the Poisson-Boltzmann equation

DOI10.1016/0022-0396(87)90100-8zbMath0637.35035OpenAlexW2085278986MaRDI QIDQ1099001

Avner Friedman, Kyril Tintarev

Publication date: 1987

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(87)90100-8

zbMATH Keywords

existenceuniquenessasymptotic behaviourmixed boundary conditionssemilinear

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (8)

Boundary asymptotics for a non-neutral electrochemistry model with small Debye length ⋮ Refined derivation, exact solutions, and singular limits of the Poisson- Boltzmann equation ⋮ Non-linear boundary condition for non-ideal electrokinetic equations in porous media ⋮ The Debye system: existence and large time behavior of solutions ⋮ On the Nernst-Planck-Navier-Stokes system ⋮ The charge conserving Poisson-Boltzmann equations: Existence, uniqueness, and maximum principle ⋮ Debye layer in Poisson-Boltzmann model with isolated singularities ⋮ Asymptotic analysis of charge conserving Poisson-Boltzmann equations with variable dielectric coefficients

Cites Work

• Unnamed Item
• Counterion Condensation as an Exact Limiting Property of Solutions of the Poisson–Boltzmann Equation
• The Potential of an Infinite Rod-Like Molecule and the Distribution of the Counter Ions

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