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Pré-Publication, Document De Travail Année : 2021

Initial value problem for one-dimensional rotating shallow water equations

Résumé

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.
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Dates et versions

hal-03162689 , version 1 (08-03-2021)

Identifiants

  • HAL Id : hal-03162689 , version 1

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Nabil Bedjaoui, Vivien Desveaux, Olivier Goubet, Alice Masset. Initial value problem for one-dimensional rotating shallow water equations. 2021. ⟨hal-03162689⟩
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