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Koellermeier, Julian Pimentel García, Ernesto 2024-09-19T10:17:33Z 2024-09-19T10:17:33Z 2022-08-15 Julian Koellermeier, Ernesto Pimentel-García, Steady states and well-balanced schemes for shallow water moment equations with topography, Applied Mathematics and Computation, Volume 427, 2022, 127166, ISSN 0096-3003, https://doi.org/10.1016/j.amc.2022.127166. (https://www.sciencedirect.com/science/article/pii/S0096300322002417) https://hdl.handle.net/10630/32664 10.1016/j.amc.2022.127166 In this paper, we investigate steady states of shallow water moment equations including bottom topographies. We derive a new hyperbolic shallow water moment model based on linearized moment equations that allows for a simple assessment of the steady states. After proving hyperbolicity of the new model, the steady states are fully identified. A well-balanced scheme is adopted to the specific structure of the new model and allows to preserve the steady states in numerical simulations. spa http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Matemáticas aplicadas Steady states and well-balanced schemes for shallow water moment equations with topography journal article