5 citations · 6 across the 10 of their papers we have counts for
7 papers · 1 filter
Averaged models for compressible two-phase stratified flows on thin domains
Nicolas Seguin, Khaled Saleh, Pierrick Le Vourc'H
This paper deals with the derivation of compressible two-phase flow models. We use a thin domain approximation of a two-layer configuration governed by the Navier-Stokes equations,…
Optimizing quasi-dissipative evolution equations with the moment-SOS hierarchy
Saroj Prasad Chhatoi, Didier Henrion, Swann Marx +1
We prove that there is no relaxation gap between a quasi-dissipative nonlinear evolution equation in a Hilbert space and its linear Liouville equation reformulation on probability…
Analysis of compressible bubbly flows. Part II: Derivation of a macroscopic model
Matthieu Hillairet, Hélène Mathis, Nicolas Seguin
This paper is the second of the series of two papers, which focuses on the derivation of an averaged 1D model for compressible bubbly flows. For this, we start from a microscopic d…
Stability of stationary solutions of singular systems of balance laws
Nicolas Seguin
The stability of stationary solutions of first-order systems of PDE's are considered. They may include some singular geometric terms, leading to discontinuous flux and non-conserva…
Error estimate for time-explicit finite volume approximation of strong solutions to systems of conservation laws
Clément Cancès, Hélène Mathis, Nicolas Seguin
We study the finite volume approximation of strong solutions to nonlinear systems of conservation laws. We focus on time-explicit schemes on unstructured meshes, with entropy satis…
Relaxation approximation of Friedrich's systems under convex constraints
Jean-François Babadjian, Clément Mifsud, Nicolas Seguin
This paper is devoted to present an approximation of a Cauchy problem for Friedrichs' systems under convex constraints. It is proved the strong convergence in L^2\_{loc} of a parab…
A simple derivation of BV bounds for inhomogeneous relaxation systems
Benoit Perthame, Nicolas Seguin, Magali Tournus
We consider relaxation systems of transport equations with heterogeneous source terms and with boundary conditions, which limits are scalar conservation laws. Classical bounds fail…