Szczegóły publikacji
Opis bibliograficzny
Weak solutions to interdiffusion models with Vegard rule / Lucjan SAPA, Bogusław BOŻEK, Marek DANIELEWSKI // W: IECMSA-2017 [Dokument elektroniczny] : 6th International Eurasian Conference on Mathematical Sciences and Applications : August 15-18, 2017, Budapest, Hungary / eds. Murat Tosun, Soley Ersoy, Kazim Ilarslan. — Wersja do Windows. — Dane tekstowe. — [S. l.] : American Institute of Physics, [2018]. — (AIP Conference Proceedings ; ISSN 0094-243X ; 1926). — e-ISBN: 978-0-7354-1618-5. — S. 020039-1–020039-9. — Wymagania systemowe: Adobe Reader. — Tryb dostępu: http://aip.scitation.org/doi/pdf/10.1063/1.5020488 [2018-01-16]. — Bibliogr. s. 020039-8–020039-9, Abstr. — Publikacja dostępna online od: 2018-01-12
Autorzy (3)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 111681 |
|---|---|
| Data dodania do BaDAP | 2018-01-25 |
| DOI | 10.1063/1.5020488 |
| Rok publikacji | 2018 |
| Typ publikacji | materiały konferencyjne (aut.) |
| Otwarty dostęp |  |
| Wydawca | American Institute of Physics |
| Konferencja | 6th International Eurasian Conference on Mathematical Sciences and Application |
| Czasopismo/seria | AIP Conference Proceedings |
Abstract
In this work we consider the diffusional transport in an r-component solid solution. The one and multidimensional models are expressed by the nonlinear systems of strongly coupled differential equations with the initial and the nonlinear coupled boundary conditions. They are obtained from the local mass conservation law for fluxes which are a sum of the diffusional and Darken drift terms, together with the Vegard rule. The considered boundary conditions allow the physical system to be not only closed but also open. The theorems on existence, uniqueness and properties of global weak solutions in the one-dimensional case are formulated. The agreement between the theoretical results, numerical simulations and experimental data in the one-dimensional case is shown.
