Development of singularities in solutions of a hyperbolic system (Q1599609)
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scientific article; zbMATH DE number 1750377
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Development of singularities in solutions of a hyperbolic system |
scientific article; zbMATH DE number 1750377 |
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Development of singularities in solutions of a hyperbolic system (English)
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19 November 2003
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The system considered has the form \[ u_t=f\left({v \over 1+au} \right)v_x,\;v_t=u_x,\;a=\text{const.},\;f\geq 0. \] It is shown that \(C^1\)-solutions blow up even for small initial data.
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blow up for small initial data
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