On some linearized problems of shallow water flows. (Q636990)
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scientific article; zbMATH DE number 5944816
| Language | Label | Description | Also known as |
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| English | On some linearized problems of shallow water flows. |
scientific article; zbMATH DE number 5944816 |
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On some linearized problems of shallow water flows. (English)
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1 September 2011
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The so-called Saint-Venant equations governing shallow water flows are considered. The purpose of this paper is to give a mathematical analysis of two linearized problems. The first one concerns the classical linearized Saint-Venant problem, while the second one deals with the water quality problem, i.e. the evolution of a concentration of products in a flow solution of the first problem. To this purpose, the theory of semigroups of operators on the Hilbert space is used.
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Saint-Venant equation
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shallow water flow
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linearized problem
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