In this tutorial, we attempt to furnish a basic introduction on shallow water modeling with specific attention to Saint--Venant equations. We propose a selection of results, including derivation of the model, well-posedness of the Cauchy problem, existence and stability of roll-waves, kinetic formulation and the corresponding hydrodynamical limit, presented, whenever possible, in a simplified way and designed mainly for readers that are not expert in the field.
A dive into shallow water / Mascia, Corrado. - In: RIVISTA DI MATEMATICA DELLA UNIVERSITÀ DI PARMA. - ISSN 0035-6298. - STAMPA. - 1:(2010), pp. 77-149.
A dive into shallow water
MASCIA, Corrado
2010
Abstract
In this tutorial, we attempt to furnish a basic introduction on shallow water modeling with specific attention to Saint--Venant equations. We propose a selection of results, including derivation of the model, well-posedness of the Cauchy problem, existence and stability of roll-waves, kinetic formulation and the corresponding hydrodynamical limit, presented, whenever possible, in a simplified way and designed mainly for readers that are not expert in the field.File allegati a questo prodotto
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