Szczegóły publikacji
Opis bibliograficzny
Existence, uniqueness and properties of global weak solutions to interdiffusion with Vegard rule / Lucjan SAPA, Bogusław BOŻEK, Marek DANIELEWSKI // Topological Methods in Nonlinear Analysis ; ISSN 1230-3429. — 2018 — vol. 52 no. 2, s. 423–448. — Bibliogr. s. 447–448, Abstr.
Autorzy (3)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 119272 |
|---|---|
| Data dodania do BaDAP | 2019-01-08 |
| Tekst źródłowy | URL |
| DOI | 10.12775/TMNA.2018.008 |
| Rok publikacji | 2018 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Topological Methods in Nonlinear Analysis |
Abstract
We consider the diffusional transport in an r -component solid solution. The model is expressed by the nonlinear system of strongly coupled parabolic differential equations with initial and nonlinear boundary conditions. The techniques involved are the local mass conservation law for fluxes, which are a sum of the diffusional and Darken drift terms, and 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 are proved. The main tool used in the proof of the existence result is the Galerkin approximation method. The agreement between the theoretical results, numerical simulations and experimental data is shown.
