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  1. Journal of Engineering Mathematics
  2. Journal of Engineering Mathematics : Volume 66
  3. Journal of Engineering Mathematics : Volume 66, Issue 1-3, March 2010
  4. Thin-film rupture for large slip
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Journal of Engineering Mathematics : Volume 104
Journal of Engineering Mathematics : Volume 103
Journal of Engineering Mathematics : Volume 102
Journal of Engineering Mathematics : Volume 101
Journal of Engineering Mathematics : Volume 100
Journal of Engineering Mathematics : Volume 98
Journal of Engineering Mathematics : Volume 97
Journal of Engineering Mathematics : Volume 96
Journal of Engineering Mathematics : Volume 95
Journal of Engineering Mathematics : Volume 94
Journal of Engineering Mathematics : Volume 93
Journal of Engineering Mathematics : Volume 92
Journal of Engineering Mathematics : Volume 91
Journal of Engineering Mathematics : Volume 90
Journal of Engineering Mathematics : Volume 89
Journal of Engineering Mathematics : Volume 88
Journal of Engineering Mathematics : Volume 87
Journal of Engineering Mathematics : Volume 86
Journal of Engineering Mathematics : Volume 85
Journal of Engineering Mathematics : Volume 84
Journal of Engineering Mathematics : Volume 83
Journal of Engineering Mathematics : Volume 82
Journal of Engineering Mathematics : Volume 81
Journal of Engineering Mathematics : Volume 80
Journal of Engineering Mathematics : Volume 79
Journal of Engineering Mathematics : Volume 78
Journal of Engineering Mathematics : Volume 77
Journal of Engineering Mathematics : Volume 76
Journal of Engineering Mathematics : Volume 75
Journal of Engineering Mathematics : Volume 74
Journal of Engineering Mathematics : Volume 73
Journal of Engineering Mathematics : Volume 72
Journal of Engineering Mathematics : Volume 71
Journal of Engineering Mathematics : Volume 70
Journal of Engineering Mathematics : Volume 69
Journal of Engineering Mathematics : Volume 68
Journal of Engineering Mathematics : Volume 67
Journal of Engineering Mathematics : Volume 66
Journal of Engineering Mathematics : Volume 66, Issue 4, April 2010
Journal of Engineering Mathematics : Volume 66, Issue 1-3, March 2010
Similarity: generalizations, applications and open problems
Stability and dynamics of self-similarity in evolution equations
Thin-film rupture for large slip
Self-similarity in particle-laden flows at constant volume
Asymptotic analysis of extinction behaviour in fast nonlinear diffusion
Temperature-dependent surface diffusion near a grain boundary
Relevance of symmetry methods in mechanics of materials
Higher-order symmetries and conservation laws of the G-equation for premixed combustion and resulting numerical schemes
Restricted Lie point symmetries and reductions for ideal magnetohydrodynamics equilibria
Computation of fluxes of conservation laws
Potential systems for PDEs having several conservation laws
An algorithm for the complete symmetry classification of differential equations based on Wu’s method
Algorithmic symmetry classification with invariance
How to adaptively resolve evolutionary singularities in differential equations with symmetry
A rarefaction-tracking method for hyperbolic conservation laws
Invariance and first integrals of continuous and discrete Hamiltonian equations
Coarsening dynamics of slipping droplets
Ultrasound detection of externally induced microthrombi cloud formation: a theoretical study
Journal of Engineering Mathematics : Volume 65
Journal of Engineering Mathematics : Volume 64
Journal of Engineering Mathematics : Volume 63
Journal of Engineering Mathematics : Volume 62
Journal of Engineering Mathematics : Volume 61
Journal of Engineering Mathematics : Volume 60
Journal of Engineering Mathematics : Volume 59
Journal of Engineering Mathematics : Volume 58
Journal of Engineering Mathematics : Volume 57
Journal of Engineering Mathematics : Volume 56
Journal of Engineering Mathematics : Volume 55
Journal of Engineering Mathematics : Volume 54
Journal of Engineering Mathematics : Volume 53
Journal of Engineering Mathematics : Volume 52
Journal of Engineering Mathematics : Volume 51
Journal of Engineering Mathematics : Volume 50
Journal of Engineering Mathematics : Volume 49
Journal of Engineering Mathematics : Volume 48
Journal of Engineering Mathematics : Volume 47
Journal of Engineering Mathematics : Volume 46
Journal of Engineering Mathematics : Volume 45
Journal of Engineering Mathematics : Volume 44
Journal of Engineering Mathematics : Volume 43
Journal of Engineering Mathematics : Volume 42
Journal of Engineering Mathematics : Volume 41
Journal of Engineering Mathematics : Volume 40
Journal of Engineering Mathematics : Volume 39
Journal of Engineering Mathematics : Volume 38
Journal of Engineering Mathematics : Volume 37
Journal of Engineering Mathematics : Volume 36
Journal of Engineering Mathematics : Volume 35
Journal of Engineering Mathematics : Volume 34
Journal of Engineering Mathematics : Volume 33
Journal of Engineering Mathematics : Volume 32
Journal of Engineering Mathematics : Volume 31

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Thin-film rupture for large slip

Content Provider SpringerLink
Author Peschka, D. Münch, A. Niethammer, B.
Copyright Year 2009
Abstract The rupture of thin liquid films on hydrophobic substrates, assuming large slip at the liquid-solid interface, is studied using a recently developed strong slip lubrication model, it is shown that the rupture passes through up to three self-similar regimes with different dominant balances and different scaling exponents. For one of these regimes the similarity is of second kind, and the similarity exponent is determined by solving a boundary-value problem for a nonlinear ODE. Furthermore, finite-time rupture is proved for this regime.
Starting Page 33
Ending Page 51
Page Count 19
File Format PDF
ISSN 00220833
Journal Journal of Engineering Mathematics
Volume Number 66
Issue Number 1-3
e-ISSN 15732703
Language English
Publisher Springer Netherlands
Publisher Date 2009-10-22
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Asymptotic behavior of solutions Jet break-up Lubrication theory Self-similarity Self-similar solutions of second kind Numeric Computing Mathematical Modeling and Industrial Mathematics Analysis Applications of Mathematics Mechanics
Content Type Text
Resource Type Article
Subject Mathematics Engineering
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