Blow-up in a subdiffusive medium with advection (Q708967)
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scientific article; zbMATH DE number 5800567
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blow-up in a subdiffusive medium with advection |
scientific article; zbMATH DE number 5800567 |
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Blow-up in a subdiffusive medium with advection (English)
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15 October 2010
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A fractional diffusion equation with advection and a localized source term is studied. It is shown that blow-up cannot be prevented regardless of the advection speed. Increasing the advection speed will only delay the blow-up time. This is in contrast with the analogous problem with classical diffusion, in which blow-up can be prevented by increasing sufficiently the advection speed.
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subdiffusion
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advection
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blow-up
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moving source
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localized source term
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