Existence and uniqueness of a global weak solution of a Darcy-Nernst-Planck-Poisson system

Herz M, Ray N, Knabner P (2012)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2012

Journal

Publisher: Wiley - V C H Verlag GmbbH & Co.

Book Volume: 35

Pages Range: 191-208

Journal Issue: 2

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2012/2012_HerzRayKn_ExistAndUniqueOfGlobWeakSolutionDarcyNernPlanPoissSystem

DOI: 10.1002/gamm.201210013

Abstract

This paper deals with the analytical investigations of a nonstationary Darcy-Nernst-Planck-Poisson-type system which is a mathematical model describing electrolyte solutions. For this nonlinear fully coupled system of partial differential equations we proof existence and uniqueness of global weak solutions. Furthermore, we establish physical properties for the number densities such as nonnegativity and boundedness in L∞ ((0, T) × ω). © 2012 WILEY-VCH Verlag GmbH & Co. KGaA.

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How to cite

APA:

Herz, M., Ray, N., & Knabner, P. (2012). Existence and uniqueness of a global weak solution of a Darcy-Nernst-Planck-Poisson system. GAMM-Mitteilungen, 35(2), 191-208. https://dx.doi.org/10.1002/gamm.201210013

MLA:

Herz, Matthias, Nadja Ray, and Peter Knabner. "Existence and uniqueness of a global weak solution of a Darcy-Nernst-Planck-Poisson system." GAMM-Mitteilungen 35.2 (2012): 191-208.

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