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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 4, December 2011
  4. Strong Static Stability of Liquid Layers
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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
A Remark on the Stokes Problem with Initial Data in L 1
Well-Posedness of Surface Wave Equations Above a Viscoelastic Fluid
Spectral Properties of the Linearization at the Burgers Vortex in the High Rotation Limit
Analyticity and Gevrey-Class Regularity for the Second-Grade Fluid Equations
Logarithmically Improved Regularity Criteria for the Navier–Stokes and MHD Equations
The Decay Rate and Higher Approximation of Mild Solutions to the Navier–Stokes Equations
On the Existence and Conditional Energetic Stability of Solitary Gravity-Capillary Surface Waves on Deep Water
Strong Static Stability of Liquid Layers
Journal of Mathematical Fluid Mechanics : Volume 13, Issue 3, September 2011
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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Strong Static Stability of Liquid Layers

Content Provider SpringerLink
Author Miersemann, Erich Mögel, Hans Jörg Schiller, Peter
Copyright Year 2010
Abstract For a class of disjoining pressure potentials we show that liquid layers in equilibrium with positive second variation for nonvanishing variations (called stable by definition) are in fact strong minimizers of the associated energy functional. In a previous paper, explicit stable layers are obtained for some cases of solid configurations with simple geometries, in particular for a single cylindrical or spherical cavity. From this note it follows that all these “stable” equilibria are strong energy minimizers. No smallness for the thickness of the layer is assumed.
Ending Page 635
Page Count 7
Starting Page 629
File Format PDF
ISSN 14226928
e-ISSN 14226952
Journal Journal of Mathematical Fluid Mechanics
Issue Number 4
Volume Number 13
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2010-09-24
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword disjoining pressure Mathematical Methods in Physics Fluid- and Aerodynamics Capillarity strong stability Capillarity (surface tension) liquid layer Interfacial stability and instability Thin fluid films cavities Nonlinear effects Classical Continuum Physics
Content Type Text
Resource Type Article
Subject Applied Mathematics Mathematical Physics Condensed Matter Physics Computational Mathematics
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