Geometric optics with critical vanishing viscosity for one-dimensional semilinear initial value problems (Q951988)
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scientific article; zbMATH DE number 5361873
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric optics with critical vanishing viscosity for one-dimensional semilinear initial value problems |
scientific article; zbMATH DE number 5361873 |
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Geometric optics with critical vanishing viscosity for one-dimensional semilinear initial value problems (English)
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5 November 2008
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Summary: We study the propagation of high frequency oscillations for one dimensional semilinear hyperbolic systems with small parabolic perturbations. We obtain a new degenerate parabolic system for the profile, and valid an asymptotic development in the spirit of Joly, Métivier and Rauch.
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nonlinear geometric optics
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energy estimates
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interpolation
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weakly coupled parabolic systems
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high frequency oscillations
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