Dewetting films: Bifurcations and concentrations (Q2758126)
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scientific article; zbMATH DE number 1679441
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dewetting films: Bifurcations and concentrations |
scientific article; zbMATH DE number 1679441 |
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2 March 2003
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one space dimension
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lubrication
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fourth-order parabolic equations
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stability
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asymptotic analysis
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numerical simulation
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0.8889222
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0.88450587
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0.8735107
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0.86982334
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0.85460365
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0.85248566
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0.85000396
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0.8494506
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0.84783053
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0.84761447
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Dewetting films: Bifurcations and concentrations (English)
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The paper studies the phenomenon of the rupture of thin liquid films and complex dewetting patterns formed under the influence of long-range attractive and short-range repulsive forces. The problem is considered in one space dimension within the framework of fourth-order degenerate parabolic equations of lubrication type. The global structure of the bifurcation diagram for steady state solutions is derived. A stability analysis of the solution branches and numerical simulations suggest coarsening occurs. The behaviour of solutions is studied in the limit that short-range repulsive forces are neglected. Both asymptotic analysis and numerical experiments show that this limit can concentrate mass in 0.5-distributions.
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