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 SM ISO690:2012ION, Anca-Veronica, ION, Stelian. On the Global Existence of the Solutions of the Riemann Problem for Shallow Water Equations. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, p. 61. ISBN 978-9975-76-247-2. |
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| Conference on Applied and Industrial Mathematics Ediţia a 26-a, 2018 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 20-22 septembrie 2018 | ||||||
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| Pag. 61-61 | ||||||
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In this talk we investigate the Riemann Problem for a shallow water model with vegetation and terrain data. We present a constructive method, that is not dependent on how large data jump is, to solve the problem. Essentially the method involves the resolution of a nonlinear equation that can have multiple solutions or no solution. The method uses a criterion of admissibility to select among multiple possible solutions a physical relevant one. To illustrate the method several examples are presented. |
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<meta name="citation_title" content="On the Global Existence of the Solutions of the Riemann Problem for Shallow Water Equations"> <meta name="citation_author" content="Ion Anca-Veronica"> <meta name="citation_author" content="Ion Stelian"> <meta name="citation_publication_date" content="2018"> <meta name="citation_collection_title" content="Conference on Applied and Industrial Mathematics"> <meta name="citation_volume" content="Ediţia a 26-a"> <meta name="citation_firstpage" content="61"> <meta name="citation_lastpage" content="61"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/61-61a_1.pdf">
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