A note on the well-posedness of the one-dimensional multilayer shallow water model

Abstract : In this short note, we prove by elementary means that the one-dimensional multilayer shallow-water (or Saint-Venant) model for density-stratified fluids is well-posed, provided that (i) the density stratification is stable (i.e. the denser fluid is deeper); (ii) each layer has non-vanishing depth; (iii) the shear velocities are small enough.
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https://hal.archives-ouvertes.fr/hal-00922045
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Submitted on : Monday, December 23, 2013 - 12:05:12 PM
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  • HAL Id : hal-00922045, version 1

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Vincent Duchêne. A note on the well-posedness of the one-dimensional multilayer shallow water model. 2013. ⟨hal-00922045⟩

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