Analysis of improved Nernst-Planck-Poisson models of isothermal compressible electrolytes subject to chemical reactions: The case of a degenerate mobility matrix
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2321 | |
dc.contributor.author | Druet, Pierre-Etienne | |
dc.date.accessioned | 2016-12-17T10:47:08Z | |
dc.date.available | 2019-06-28T08:02:02Z | |
dc.date.issued | 2016 | |
dc.description.abstract | We continue our investigations of the improved NernstPlanckPoisson model introduced in [DGM13]. In the paper [DDGG16] the analysis relies on the hypothesis that the mobility matrix has maximal rank under the constraint of mass conservation (rank N-1 for a mixture of N species). In this paper we allow for the case that the positive eigenvalues of the mobility matrix tend to zero along with the partial mass densities of certain species. In this approach the mobility matrix has a variable rank between zero and N-1 according to the number of locally available species. We set up a concept of weak solution able to deal with this scenario, showing in particular how to extend the fundamental notion of differences of chemical potentials that supports the modelling and the analysis in [DDGG16]. We prove the global-in-time existence in this solution class. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/2013 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1689 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Electrolyte | eng |
dc.subject.other | electrochemical interface | eng |
dc.subject.other | chemical reaction | eng |
dc.subject.other | compressible fluid | eng |
dc.subject.other | Navier-Stokes equations | eng |
dc.subject.other | advection-diffusion-reaction equations | eng |
dc.subject.other | PDE system of mixed-type | eng |
dc.subject.other | a-priori estimates | eng |
dc.subject.other | weak solution | eng |
dc.title | Analysis of improved Nernst-Planck-Poisson models of isothermal compressible electrolytes subject to chemical reactions: The case of a degenerate mobility matrix | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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