On the blow-up of solutions to a nonlinear dispersive rod equation (Q855448)
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scientific article; zbMATH DE number 5077908
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the blow-up of solutions to a nonlinear dispersive rod equation |
scientific article; zbMATH DE number 5077908 |
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On the blow-up of solutions to a nonlinear dispersive rod equation (English)
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7 December 2006
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Using a variational approach the author prove an optimal nonlinear convolution inequality. This result is then applied to give criteria for finite-time blow-up of solutions to a nonlinear model equation in elasticity, improving considerably upon recent blow-up result.
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convolution inequality
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blow-up
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non-dispersive equation
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