The maximum regularity property of the steady Stokes problem associated with a flow through a profile cascade in L^r-framework

2020/12/17 by Tomáš Neustupa, Neustupa, Tomáš · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2012.09512

Abstract

The paper deals with the Stokes problem, associated with a flow of a viscous incompressible fluid through a spatially periodic profile cascade. We use results from [32] (the maximum regularity property in the L²-framework) and [33] (the weak solvability in W^1,r), and extend the findings on the maximum regularity property to the general L^r-framework (for 1

Cited by

• On the stationary Navier-Stokes equations in distorted pipes under energy-stable outflow boundary conditions

Related

• The maximum regularity property of the steady Stokes problem associated\n with a flow through a profile cascade
• The weak Stokes problem associated with a flow through a profile cascade in Lr-framework
• Maximal L^p-L^q regularity for the Stokes problem with Navier-type boundary conditions
• Maximal L^p-L^q regularity to the Stokes Problem with Navier boundary conditions
• Optimal regularity results for the Stokes--Dirichlet problem