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- Institut Camille JordanFR114 papers
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6 papers · 2 filters
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…
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,…
A BGK approximation to scalar conservation laws with discontinuous flux
Florent Berthelin, Julien Vovelle
We study the BGK approximation to first-order scalar conservation laws with a flux which is discontinuous in the space variable. We show that the Cauchy Problem for the BGK approxi…
Convergence to the Reynolds approximation with a double effect of roughness
Catherine Choquet, Laurent Chupin, Marguerite Gisclon
We prove that the lubrication approximation is perturbed by a non-regular roughness of the boundary. We show how the flow may be accelerated using adequate rugosity profiles on the…