A discontinuous Poisson-Boltzmann equation with interfacial jump: homogenisation and residual error estimate.

Fellner, Klemens; Kovtunenko, Victor A

Fellner, Klemens; Kovtunenko, Victor A.

Afiliación

Fellner K; Institute of Mathematics and Scientific Computing, University of Graz, NAWI Graz, 8010Graz, Austria.
Kovtunenko VA; Institute of Mathematics and Scientific Computing, University of Graz, NAWI Graz, 8010Graz, Austria.

Appl Anal ; 95(12): 2661-2682, 2016.

Article en En | MEDLINE | ID: mdl-29696244

RESUMEN

A nonlinear Poisson-Boltzmann equation with inhomogeneous Robin type boundary conditions at the interface between two materials is investigated. The model describes the electrostatic potential generated by a vector of ion concentrations in a periodic multiphase medium with dilute solid particles. The key issue stems from interfacial jumps, which necessitate discontinuous solutions to the problem. Based on variational techniques, we derive the homogenisation of the discontinuous problem and establish a rigorous residual error estimate up to the first-order correction.

Palabras clave

35B27; 35J60; 78A57; 82B24; Boltzmann statistics; Electro-kinetic; Robin condition; error corrector; homogenisation; interfacial jump; nonlinear Poisson equation; oscillating coefficients; steady-state PoissonNernstPlanck system

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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Appl Anal Año: 2016 Tipo del documento: Article País de afiliación: Austria Pais de publicación: Estados Unidos

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