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On the Nonstationary Stokes System in a Cone ( $$L_p$$ L p Theory)
Journal of Mathematical Fluid Mechanics ( IF 1.3 ) Pub Date : 2020-08-29 , DOI: 10.1007/s00021-020-00502-w
V. Kozlov , J. Rossmann

The authors consider the Dirichlet problem for the nonstationary Stokes system in a threedimensional cone. In a previous work they had proved the existence and uniqueness of solution in weighted \(L_2\) Sobolev spaces, where the weights are powers of the distance from the vertex of the cone. Now they extend these results to weighted \(L_{q,p}\) Sobolev spaces.

中文翻译:

关于圆锥体的非平稳斯托克斯系统($$ L_p $$ L p理论)

作者考虑了三维圆锥中非平稳Stokes系统的Dirichlet问题。在先前的工作中,他们证明了加权\(L_2 \) Sobolev空间中解的存在性和唯一性,其中权重是与圆锥顶点的距离的幂。现在,他们将这些结果扩展到加权\(L_ {q,p} \) Sobolev空间。
更新日期:2020-08-29
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