Analytical solutions to the unsteady Poiseuille flow of a second grade fluid with slip boundary conditions

ES Baranovskii - Polymers, 2024 - mdpi.com
This paper deals with an initial-boundary value problem modeling the unidirectional
pressure-driven flow of a second grade fluid in a plane channel with impermeable solid …

Global regularity for systems with p-structure depending on the symmetric gradient

LC Berselli, M Růžička - Advances in Nonlinear Analysis, 2018 - degruyter.com
Global regularity for systems with p-structure depending on the symmetric gradient Skip to
content Should you have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ …

Higher integrability of solutions to generalized Stokes system under perfect slip boundary conditions

V Mácha, J Tichý - Journal of Mathematical Fluid Mechanics, 2014 - Springer
We prove an L q theory result for generalized Stokes system in a C^ 2, 1 C 2, 1 domain
complemented with the perfect slip boundary conditions and under Φ-growth conditions …

Korn's inequality and eigenproblems for the Lamé operator

SA Domínguez-Rivera, N Nigam… - Computational Methods in …, 2022 - degruyter.com
In this paper, we show that the so-called Korn inequality holds for vector fields with a zero
normal or tangential trace on a subset (of positive measure) of the boundary of Lipschitz …

[PDF][PDF] Regularity of planar flows for shear-thickening fluids under perfect slip boundary conditions

J Tichý - Electronic Journal of Differential Equations, 2014 - ejde.math.txstate.edu
For evolutionary planar flows of shear-thickening fluids in bounded domains we prove the
existence of a solution with the Hölder continuous velocity gradients and pressure. The …

Global continuity and BMO estimates for non-Newtonian fluids with perfect slip boundary conditions

V Mácha, S Schwarzacher - Revista Matematica Iberoamericana, 2020 - ems.press
We study the generalized stationary Stokes system in a bounded domain in the plane
equipped with perfect slip boundary conditions. We show natural stability results in …

Existence of weak solutions for steady flows of electrorheological fluid with Navier-slip type boundary conditions

C Sin, SI Ri - Mathematica Bohemica, 2022 - dml.cz
We prove the existence of weak solutions for steady flows of electrorheological fluids with
homogeneous Navier-slip type boundary conditions provided $ p (x)> 2n/(n+ 2) $. To prove …

Hölder continuity of velocity gradients for shear-thinning fluids under perfect slip boundary conditions

V Mácha, J Tichý - Nonlinear Differential Equations and Applications …, 2017 - Springer
This paper is concerned with non-stationary flows of shear-thinning fluids in a bounded two-
dimensional C^ 2, 1 C 2, 1 domain. Assuming perfect slip boundary conditions, we provide a …

On the Singular p-Laplacian System Under Navier Slip Type Boundary Conditions: The Gradient-Symmetric Case

HB da Veiga - Recent Developments of Mathematical Fluid …, 2016 - Springer
We consider the p-Laplacian system of N equations in n space variables, 1< p≤ 2, under
the homogeneous Navier slip boundary condition without friction. Here, the gradient of the …

Partial regularity of solution to generalized Navier-Stokes problem

V Mácha - Open Mathematics, 2014 - degruyter.com
In the presented work, we study the regularity of solutions to the generalized Navier-Stokes
problem up to a C 2 boundary in dimensions two and three. The point of our generalization …