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  1. Journal of Mathematical Fluid Mechanics
  2. Journal of Mathematical Fluid Mechanics : Volume 13
  3. Journal of Mathematical Fluid Mechanics : Volume 13, Issue 3, September 2011
  4. Boundary Regularity of Shear Thickening Flows
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Journal of Mathematical Fluid Mechanics : Volume 19
Journal of Mathematical Fluid Mechanics : Volume 18
Journal of Mathematical Fluid Mechanics : Volume 17
Journal of Mathematical Fluid Mechanics : Volume 16
Journal of Mathematical Fluid Mechanics : Volume 15
Journal of Mathematical Fluid Mechanics : Volume 14
Journal of Mathematical Fluid Mechanics : Volume 13
Journal of Mathematical Fluid Mechanics : Volume 13, Issue 4, December 2011
Journal of Mathematical Fluid Mechanics : Volume 13, Issue 3, September 2011
Navier–Stokes Equations with Nonhomogeneous Boundary Conditions in a Bounded Three-Dimensional Domain
On Anisotropic Regularity Criteria for the Solutions to 3D Navier–Stokes Equations
Exotic Capillary Tubes
The Nonlinear Stokes Problem with General Potentials Having Superquadratic Growth
Boundary Regularity of Shear Thickening Flows
On the Navier–Stokes equations with rotating effect and prescribed outflow velocity
Vanishing viscosity limit for a smoke ring with concentrated vorticity
Optimal Microstructures Drag Reducing Mechanism of Riblets
On the Impossibility, in Some Cases, of the Leray–Hopf Condition for Energy Estimates
On a Bound for Amplitudes of Navier–Stokes Flow with almost Periodic Initial Data
Journal of Mathematical Fluid Mechanics : Volume 13, Issue 2, June 2011
Journal of Mathematical Fluid Mechanics : Volume 13, Issue 1, March 2011
Journal of Mathematical Fluid Mechanics : Volume 12
Journal of Mathematical Fluid Mechanics : Volume 11
Journal of Mathematical Fluid Mechanics : Volume 10
Journal of Mathematical Fluid Mechanics : Volume 9
Journal of Mathematical Fluid Mechanics : Volume 8
Journal of Mathematical Fluid Mechanics : Volume 7
Journal of Mathematical Fluid Mechanics : Volume 6
Journal of Mathematical Fluid Mechanics : Volume 5
Journal of Mathematical Fluid Mechanics : Volume 4
Journal of Mathematical Fluid Mechanics : Volume 3
Journal of Mathematical Fluid Mechanics : Volume 2
Journal of Mathematical Fluid Mechanics : Volume 1

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Boundary Regularity of Shear Thickening Flows

Content Provider SpringerLink
Author Veiga, Hugo Beirão Kaplický, Petr Růžička, Michael
Copyright Year 2010
Abstract This article is concerned with the global regularity of weak solutions to systems describing the flow of shear thickening fluids under the homogeneous Dirichlet boundary condition. The extra stress tensor is given by a power law ansatz with shear exponent p≥ 2. We show that, if the data of the problem are smooth enough, the solution u of the steady generalized Stokes problem belongs to $${W^{1,(np+2-p)/(n-2)}(\Omega)}$$ . We use the method of tangential translations and reconstruct the regularity in the normal direction from the system, together with anisotropic embedding theorem. Corresponding results for the steady and unsteady generalized Navier–Stokes problem are also formulated.
Ending Page 404
Page Count 18
Starting Page 387
File Format PDF
ISSN 14226928
e-ISSN 14226952
Journal Journal of Mathematical Fluid Mechanics
Issue Number 3
Volume Number 13
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2010-04-13
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Generalized Newtonian fluids Mathematical Methods in Physics Fluid- and Aerodynamics PDEs in connection with fluid mechanics Nonlinear boundary value problems for linear elliptic equations shear dependent viscosity Existence, uniqueness, and regularity theory regularity up to the boundary Classical Continuum Physics
Content Type Text
Resource Type Article
Subject Applied Mathematics Mathematical Physics Condensed Matter Physics Computational Mathematics
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