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.
2010
SHALLOW WATER EQUATIONS, HYPERBOLIC-PARABOLIC SYSTEMS, ROLL-WAVES, KINETIC EQUATIONS
01 Pubblicazione su rivista::01a Articolo in rivista
A dive into shallow water / Mascia, Corrado. - In: RIVISTA DI MATEMATICA DELLA UNIVERSITÀ DI PARMA. - ISSN 0035-6298. - STAMPA. - 1:(2010), pp. 77-149.
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/378878
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact