Initial value problem for one-dimensional rotating shallow water equations

Bedjaoui, Nabil; Desveaux, Vivien; Goubet, Olivier; Masset, Alice

Document type :

Pré-publication ou Document de travail

Title :

Initial value problem for one-dimensional rotating shallow water equations

Author(s) :

Bedjaoui, Nabil [Auteur]
Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 UPJV [LAMFA]
Desveaux, Vivien [Auteur]
Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 UPJV [LAMFA]
Goubet, Olivier [Auteur]

Systèmes de particules et systèmes dynamiques [Paradyse]
Masset, Alice [Auteur]
Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 UPJV [LAMFA]

English keyword(s) :

hyperbolic system
Coriolis force
diffusive regularization
symmetrization

HAL domain(s) :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

In this article we address some issues related to the initial value problems for a rotating shallow water hyperbolic system of equations and the diffusive regularization of this system. For initial data close to the solution ...
Show more >In this article we address some issues related to the initial value problems for a rotating shallow water hyperbolic system of equations and the diffusive regularization of this system. For initial data close to the solution at rest, we establish the local existence and the uniqueness of a solution to the hyperbolic system, as well as the global existence of a solution to the regularized system. In order to prove this, we use suitable variables that symmetrize the system.Show less >

Language :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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