H "older continuity of velocity gradients for shear-thinning fluids\n under perfect slip boundary conditions

2016/10/02 by Václav Mácha, Mácha, Václav, Jakub Tichý +1
Computer Science · Mathematics · #35B65 #35K51 #35Q35 #76D03 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Boundary (topology) #Boundary value problem #Bounded function #Cauchy stress tensor #Composite material #Domain (mathematical analysis) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry #Materials science #Mathematical analysis #Mathematics #Mechanics #Navier-Stokes equation solutions #Physics #Power law #Pressure gradient #Rheology #Shear (geology) #Shear stress #Shear thinning #Shear velocity #Slip (aerodynamics) #Tensor (intrinsic definition) #Thermodynamics #Velocity gradient #math.AP #msc:35B65 #msc:35K51 #msc:35Q35 #msc:76D03

paper · pdf · doi:10.48550/arxiv.1610.00229

published in arXiv (Cornell University) (Cornell University) · 19 pages

arxiv created 2016/10/02 · openalex publication_date 2016/10/02 · arxiv updated 2016/10/04 · openalex created_date 2022/08/14 · openalex updated_date 2026/07/28

Abstract

This paper is concerned with non-stationary flows of sheart-hinning fluids in\na bounded two-dimensional C^2;1 domain. Assuming perfect slip boundary\nconditions, we provide a proof of the existence of a solution with the H "older\ncontinuous velocity gradients and pressure under condition that a stress tensor\nsatisfies power-law with growth p\∈[5/3; 2].\n

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