Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 12
Submit an article Journal homepage
1,867
Views
23
CrossRef citations to date
0
Altmetric
Original Articles

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

Klemens FellnerInstitute of Mathematics and Scientific Computing, University of Graz, NAWI Graz, 8010Graz, Austria.
&
Victor A. KovtunenkoInstitute of Mathematics and Scientific Computing, University of Graz, NAWI Graz, 8010Graz, Austria.;Lavrent’ev Institute of Hydrodynamics, 630090Novosibirsk, Russia.Correspondence[email protected]
Pages 2661-2682 | Received 04 May 2015, Accepted 06 Oct 2015, Published online: 04 Nov 2015

Citations (23)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

Renata Bunoiu & Claudia Timofte. (2022) Upscaling of a double porosity problem with jumps in thin porous media. Applicable Analysis 101:9, pages 3497-3514.
Read now
V. A. Kovtunenko & A. V. Zubkova. (2021) Homogenization of the generalized Poisson–Nernst–Planck problem in a two-phase medium: correctors and estimates. Applicable Analysis 100:2, pages 253-274.
Read now

Articles from other publishers (21)

Victor A. Kovtunenko. (2024) Feasible domain of cycling operating conditions and model parameters for Holby–Morgan model of platinum catalyst degradation in PEMFC. International Journal of Hydrogen Energy 51, pages 1518-1526.
Crossref
Victor A. Kovtunenko. (2023) The Holby–Morgan Model of Platinum Catalyst Degradation in PEM Fuel Cells: Range of Feasible Parameters Achieved Using Voltage Cycling. Technologies 11:6, pages 184.
Crossref
Irina V. Fankina, Alexey I. Furtsev, Evgeny M. Rudoy & Sergey A. Sazhenkov. (2023) The homogenized quasi-static model of a thermoelastic composite stitched with reinforcing threads. Journal of Computational and Applied Mathematics 434, pages 115346.
Crossref
Larisa V. Karpenko-Jereb & Victor A. Kovtunenko. (2023) Modeling of the impact of cycling operating conditions on durability of polymer electrolyte fuel cells and its sensitivity analysis. International Journal of Hydrogen Energy 48:41, pages 15646-15656.
Crossref
Victor A Kovtunenko & Nyurgun P Lazarev. (2022) The energy release rate for non-penetrating crack in poroelastic body by fluid-driven fracture. Mathematics and Mechanics of Solids 28:2, pages 592-610.
Crossref
Victor A. Kovtunenko. (2022) Quasi-variational inequality for the nonlinear indentation problem: a power-law hardening model. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380:2236.
Crossref
Victor A. Kovtunenko. (2022) Variance-Based Sensitivity Analysis of Fitting Parameters to Impact on Cycling Durability of Polymer Electrolyte Fuel Cells. Technologies 10:6, pages 111.
Crossref
Hiromichi Itou, Victor A. Kovtunenko & Nyurgun P. Lazarev. (2022) Asymptotic series solution for plane poroelastic model with non-penetrating crack driven by hydraulic fracture. Applications in Engineering Science 10, pages 100089.
Crossref
Victor A. Kovtunenko. (2022) Poroelastic medium with non-penetrating crack driven by hydraulic fracture: Variational inequality and its semidiscretization. Journal of Computational and Applied Mathematics 405, pages 113953.
Crossref
Victor A. Kovtunenko & Larisa Karpenko-Jereb. (2021) Lifetime of Catalyst under Voltage Cycling in Polymer Electrolyte Fuel Cell Due to Platinum Oxidation and Dissolution. Technologies 9:4, pages 80.
Crossref
V. A. KOVTUNENKO & A. V. ZUBKOVA. (2020) Existence and two-scale convergence of the generalised Poisson–Nernst–Planck problem with non-linear interface conditions. European Journal of Applied Mathematics 32:4, pages 683-710.
Crossref
James Le Houx & Denis Kramer. (2020) Physics based modelling of porous lithium ion battery electrodes—A review. Energy Reports 6, pages 1-9.
Crossref
Victor A. Kovtunenko, Sina Reichelt & Anna V. Zubkova. (2019) Corrector estimates in homogenization of a nonlinear transmission problem for diffusion equations in connected domains. Mathematical Methods in the Applied Sciences 43:4, pages 1838-1856.
Crossref
Renata Bunoiu & Claudia Timofte. (2018) Upscaling of a diffusion problem with interfacial flux jump leading to a modified Barenblatt model. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 99:2.
Crossref
Victor A. Kovtunenko & Anna V. Zubkova (Buchynskaja). Homogenization of the generalized Poisson–Nernst–Planck problem in two-phase medium: The corrector due to nonlinear interface condition. Homogenization of the generalized Poisson–Nernst–Planck problem in two-phase medium: The corrector due to nonlinear interface condition.
Renata Bunoiu & Claudia Timofte. (2019) Upscaling of a parabolic system with a large nonlinear surface reaction term. Journal of Mathematical Analysis and Applications 469:2, pages 549-567.
Crossref
José Rodrigo González Granada & Victor A. Kovtunenko. (2018) Entropy method for generalized Poisson–Nernst–Planck equations. Analysis and Mathematical Physics 8:4, pages 603-619.
Crossref
Anna V. Zubkova. 2018. Extended Abstracts Summer 2016. Extended Abstracts Summer 2016 101 106 .
Anna V. Zubkova & Victor A. Kovtunenko. (2017) Mathematical modeling of a discontinuous solution of the generalized Poisson-Nernst-Planck problem in a two-phase medium. Kinetic and Related Models 11:1, pages 119-135.
Crossref
Victor A. Kovtunenko & Anna V. Zubkova. (2016) On generalized Poisson–Nernst–Planck equations with inhomogeneous boundary conditions: a‐priori estimates and stability. Mathematical Methods in the Applied Sciences 40:6, pages 2284-2299.
Crossref
Renata Bunoiu & Claudia Timofte. (2016) Homogenization of a thermal problem with flux jump. Networks and Heterogeneous Media 11:4, pages 545-562.
Crossref

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.