On the \(n\)-dimensional porous medium diffusion equation and global actions of the symmetry group (Q352466)
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scientific article; zbMATH DE number 6184344
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(n\)-dimensional porous medium diffusion equation and global actions of the symmetry group |
scientific article; zbMATH DE number 6184344 |
Statements
On the \(n\)-dimensional porous medium diffusion equation and global actions of the symmetry group (English)
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4 July 2013
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The author studies the globalization problem for the \(n\)-dimensional porous medium equation \(u_t=\Delta_n(u^m)\). By restricting to a special class of smooth functions, the local action of the symmetry group is globalized. This special class of functions is constructed using parabolic induction.
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globalization
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porous medium equation
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Lie group representation
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Lorentz group
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parabolic induction
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