72 citations
- International Center for Transitional JusticeUS114 papers
- Lyon 1 UniversitéFR79 papers
- Centre National de la Recherche ScientifiqueFR48 papers
- Bouygues (France)FR10 papers
- Institut National des Sciences Appliquées de LyonFR6 papers
- Laboratoire de Mathématiques d'OrsayFR6 papers
- École Centrale de LyonFR5 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR4 papers
- Laboratoire de Mathématiques Blaise PascalFR4 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR4 papers
- Université Paris CitéFR4 papers
- Institut de Mathématiques de MarseilleFR3 papers
9 papers · 2 filters
Stability of Periodic Kuramoto-Sivashinsky Waves
Blake Barker, Mathew A. Johnson, Pascal Noble +2
In this note, we announce a general result resolving the long-standing question of nonlinear modulational stability, or stability with respect to localized perturbations, of period…
Modulated wave trains in generalized Kuramoto-Sivashinksi equations
Pascal Noble, Luis Miguel Rodrigues
This paper is concerned with the stability of periodic wave trains in a generalized Kuramoto-Sivashinski (gKS) equation. This equation is useful to describe the weak instability of…
Whitham's equations for modulated roll-waves in shallow flows
Pascal Noble, Luis Miguel Rodrigues
This paper is concerned with the detailed behaviour of roll-waves undergoing a low-frequency perturbation. We rst derive the so-called Whitham's averaged modulation equations and r…
Whitham Averaged Equations and Modulational Stability of Periodic Traveling Waves of a Hyperbolic-Parabolic Balance Law
Blake Barker, Mathew A. Johnson, Pascal Noble +2
In this note, we report on recent findings concerning the spectral and nonlinear stability of periodic traveling wave solutions of hyperbolic-parabolic systems of balance laws, as…
Persistence of generalized roll-waves under viscous perturbation
Valérie Le Blanc
The purpose of this article is to study the persistence of solution of a hyperbolic system under small viscous perturbation. Here, the solution of the hyperbolic system is supposed…
Global smooth solutions of Euler equations for Van der Waals gases
Magali Mercier
We prove global in time existence of solutions of the Euler compressible equations for a Van der Waals gas when the density is small enough in , for large enough. To do so,…