Mathematical analysis of a nonlinear parabolic equation arising in the modelling of non-newtonian flows
The mathematical properties of a nonlinear parabolic equation arising in the modelling of non-newtonian flows are investigated. The peculiarity of this equation is that it may degenerate into a hyperbolic equation (in fact a linear advection equation). Depending on the initial data, at least two sit...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | The mathematical properties of a nonlinear parabolic equation arising in the
modelling of non-newtonian flows are investigated. The peculiarity of this
equation is that it may degenerate into a hyperbolic equation (in fact a linear
advection equation). Depending on the initial data, at least two situations can
be encountered: the equation may have a unique solution in a convenient class,
or it may have infinitely many solutions. |
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| DOI: | 10.48550/arxiv.math/0305408 |