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On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra
Abstract
We study the Stokes problem over convex polyhedral domains on weighted Sobolev spaces. The weight is assumed to belong to the Muckenhoupt class Aq for qâ (1 , â). We show that the Stokes problem is well-posed for all q. In addition, we show that the finite element Stokes projection is stable on weighted spaces. With the aid of these tools, we provide well-posedness and approximation results to some classes of non-Newtonian fluids.
Más información
| Título según WOS: | On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra |
| Título según SCOPUS: | On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra |
| Título de la Revista: | Numerische Mathematik |
| Volumen: | 151 |
| Número: | 1 |
| Editorial: | Springer |
| Fecha de publicación: | 2022 |
| Página final: | 218 |
| Idioma: | English |
| URL: | https://link.springer.com/article/10.1007/s00211-022-01272-5 |
| DOI: |
10.1007/s00211-022-01272-5 |
| Notas: | ISI, SCOPUS |