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- W2530868572 abstract "We consider the KdV-approximation and the Whitham approximation for a spatially periodic Boussinesq model. We prove estimates of the difference between the approximations and true solutions of the original model, which guarantee that these amplitude equations make correct predictions about the dynamics of the spatially periodic Boussinesq model over the natural time scales. The proof is based on Bloch wave analysis and energy estimates. It is the first justification result of the KdV or Whitham approximation for a dispersive PDE posed in a spatially periodic medium of non-small contrast." @default.
- W2530868572 created "2016-10-21" @default.
- W2530868572 creator A5061901879 @default.
- W2530868572 date "2016-01-01" @default.
- W2530868572 modified "2023-09-26" @default.
- W2530868572 title "The KdV and Whitham limit for a spatially periodic Boussinesq model" @default.
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- W2530868572 doi "https://doi.org/10.18419/opus-8870" @default.
- W2530868572 hasPublicationYear "2016" @default.
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