Two generalizations of the thin film equation (Q1600497)
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scientific article; zbMATH DE number 1755388
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two generalizations of the thin film equation |
scientific article; zbMATH DE number 1755388 |
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Two generalizations of the thin film equation (English)
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13 June 2002
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The paper deals with two generalizations of the one-dimensional thin film equation \[ \frac{\partial u}{\partial t} = - \frac{\partial}{\partial x} \biggl(u^n \frac{\partial ^3 u}{\partial x^3}\biggr), \] which are motivated by applications to the spreading of power-law fluids. Giving some examples of exact solutions (as steady states or travelling waves) the author discusses in the sequel te large time behaviour of an arbitrary solution.
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thin-film flows
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power-law fluids
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asymptotic behaviour
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exact solutions
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degenerate parabolic equations
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steady states
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travelling waves
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