On the regularity of solution to the time-dependent p-Stokes system

[摘要] In this paper we consider the time evolutionary \(p\)-Stokes problem in a smooth and bounded domain. This system models the unsteady motion or certain non-Newtonian incompressible fluids in the regime of slow motions, when the convective term is negligible. We prove results of space/time regularity, showing that first-order time-derivatives and second-order space-derivatives of the velocity and first-order space-derivatives of the pressure belong to rather natural Lebesgue spaces.

[学科分类] 环境科学（综合）

[关键词] regularity;evolution problem;\(p\)-Stokes.