On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra

被引：8
|
作者：
Otarola, Enrique [1 ]
Salgado, Abner J. [2 ]
机构：
[1] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, Chile
[2] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA
来源：
NUMERISCHE MATHEMATIK | 2022年 / 151卷 / 01期
关键词：
FINITE-ELEMENT APPROXIMATION; SHEAR-DEPENDENT VISCOSITY; NAVIER-STOKES EQUATIONS; BOUNDARY-VALUE-PROBLEMS; DECOMPOSITION TECHNIQUE; LADYZHENSKAYA MODEL; DIRICHLET PROBLEM; REGULARITY; SYSTEM; FLOW;
D O I：
10.1007/s00211-022-01272-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Stokes problem over convex polyhedral domains on weighted Sobolev spaces. The weight is assumed to belong to the Muckenhoupt class A(q) for q is an element of(1, infinity). 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.
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页码：185 / 218
页数：34
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