On the Global Existence of the Solutions of the Riemann Problem for Shallow Water Equations

Ion Anca-Veronica; Ion Stelian

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ION, 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

Conferința "Conference on Applied and Industrial Mathematics"
Iași, România, Romania, 20-22 septembrie 2018

On the Global Existence of the Solutions of the Riemann Problem for Shallow Water Equations

Pag. 61-61

Ion Anca-Veronica, Ion Stelian

"Gheorghe Mihoc - Caius Iacob" Institute of Mathematical Statistics and Applied Mathematics of Romanian Academy

Disponibil în IBN: 1 iunie 2022

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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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