Global existence of small solutions to the Kerr-Debye model for the three-dimensional Cauchy problem (Q658574)
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scientific article; zbMATH DE number 5996907
| Language | Label | Description | Also known as |
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| English | Global existence of small solutions to the Kerr-Debye model for the three-dimensional Cauchy problem |
scientific article; zbMATH DE number 5996907 |
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Global existence of small solutions to the Kerr-Debye model for the three-dimensional Cauchy problem (English)
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13 January 2012
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Summary: We consider the Kerr-Debye model, describing the electromagnetic wave propagation in a nonlinear medium exhibiting a finite response time. This model is quasilinear hyperbolic and endowed with a dissipative entropy. We consider the Cauchy problem in the three-dimensional case and show that, if the initial data are sufficiently small, the solutions are global in time.
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nonlinear Maxwell equations
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nonlinear medium
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finite response time
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dissipative entropy
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