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  1. Journal of Mathematical Fluid Mechanics
  2. Journal of Mathematical Fluid Mechanics : Volume 15
  3. Journal of Mathematical Fluid Mechanics : Volume 15, Issue 4, December 2013
  4. Cosserat Operators of Higher Order
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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 15, Issue 4, December 2013
Nonhomogeneous Incompressible Herschel–Bulkley Fluid Flows Between Two Eccentric Cylinders
Strong Solutions for the Interaction of a Rigid Body and a Viscoelastic Fluid
Heat Convection of Compressible Viscous Fluids. II
On the Existence of a Weak Solution of Viscous Incompressible Flow Past a Cascade of Profiles with an Arbitrarily Large Inflow
Infinite Energy Solutions for Damped Navier–Stokes Equations in $${\mathbb{R}^2}$$
Global Wellposedness for the 3D Inhomogeneous Incompressible Navier–Stokes Equations
Cosserat Operators of Higher Order
A Note on Liouville Theorem for Stationary Flows of Shear Thickening Fluids in the Plane
Existence Results for the Flow of Viscoelastic Fluids with an Integral Constitutive Law
The Geometry of Barotropic Flow
Journal of Mathematical Fluid Mechanics : Volume 15, Issue 3, September 2013
Journal of Mathematical Fluid Mechanics : Volume 15, Issue 2, June 2013
Journal of Mathematical Fluid Mechanics : Volume 15, Issue 1, March 2013
Journal of Mathematical Fluid Mechanics : Volume 14
Journal of Mathematical Fluid Mechanics : Volume 13
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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Cosserat Operators of Higher Order

Content Provider SpringerLink
Author Riedl, Thorsten
Copyright Year 2013
Abstract A higher order version of Cosserat Operators is introduced. With a compactness result (the proof of which we can only sketch here, for details see Riedl in Cosserat operators of higher order and applications, PhD thesis, University of Bayreuth, 2010) based on a regularization property of these operators we gain insight to invertibility of the operator div : $${\underline{H}^{m,q}_0 (G) \rightarrow H^{m-1,q}_{0,0} (G)}$$ , where $${m \in \mathbb{N}, 1 < q < \infty}$$ and $${G \subset \mathbb{R}^n}$$ is a bounded domain with sufficiently smooth boundary. As an application, we get a very simple and effective method of treating higher order generalizations of Stokes’ system.
Ending Page 769
Page Count 11
Starting Page 759
File Format PDF
ISSN 14226928
e-ISSN 14226952
Journal Journal of Mathematical Fluid Mechanics
Issue Number 4
Volume Number 15
Language English
Publisher Springer Basel
Publisher Date 2013-04-23
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword regularity of solutions Mathematical Methods in Physics Fluid- and Aerodynamics generalized Stokes’ systems Stokes and related (Oseen, etc.) flows div -equation Existence, uniqueness, and regularity theory Classical Continuum Physics
Content Type Text
Resource Type Article
Subject Applied Mathematics Mathematical Physics Condensed Matter Physics Computational Mathematics
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