Name
Title | ||
|---|---|---|
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 $$\varvec{A}_{\varvec{q}}$$ for $$\varvec{q} \in (1,\varvec{\infty })$$ . We show that the Stokes problem is well-posed for all $$\varvec{q}$$ . 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. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1007/s00211-022-01272-5 | Numerische Mathematik |
Keywords | DocType | Volume |
35Q35, 35Q30, 35R06, 65N15, 65N30, 76Dxx | Journal | 151 |
Issue | ISSN | Citations |
1 | 0029-599X | 0 |
PageRank | References | Authors |
0.34 | 8 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Enrique Otárola | 1 | 86 | 13.91 |
| Abner J. Salgado | 2 | 105 | 13.27 |