Modeling of drift-diffusion systems
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1120 | |
| dc.contributor.author | Stephan, Holger | |
| dc.date.accessioned | 2016-12-03T02:45:31Z | |
| dc.date.available | 2019-06-28T08:20:59Z | |
| dc.date.issued | 2006 | |
| dc.description.abstract | We derive drift-diffusion systems describing transport processes starting from free energy and equilibrium solutions by a unique method. We include several statistics, heterostructures and cross diffusion. The resulting systems of nonlinear partial differential equations conserve mass and positivity, and have a Lyapunov function (free energy). Using the inverse Hessian as mobility, non-degenerate diffusivity matrices turn out to be diagonal, or | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/2695 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3272 | |
| 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 | Drift-diffusion systems | eng |
| dc.subject.other | energy models | eng |
| dc.subject.other | free energy | eng |
| dc.subject.other | Lyapunov functions | eng |
| dc.subject.other | positive solutions | eng |
| dc.subject.other | inverse Hessian | eng |
| dc.subject.other | cross diffusion | eng |
| dc.title | Modeling of drift-diffusion systems | 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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