5 citations · 6 across the 10 of their papers we have counts for
12 papers
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…
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws
Clément Cardoen, Swann Marx, Anthony Nouy +1
We propose a numerical method to solve parameter-dependent hyperbolic partial differential equations (PDEs) with a moment approach, based on a previous work from Marx et al. (2020)…
Stability of finite difference schemes for the hyperbolic initial boundary value problem by winding number computations
Benjamin Boutin, Pierre Le Barbenchon, Nicolas Seguin
In this paper, we present a numerical strategy to check the strong stability (or GKS-stability) of one-step explicit finite difference schemes for the one-dimensional advection equ…
On the stability of totally upwind schemes for the hyperbolic initial boundary value problem
Benjamin Boutin, Pierre Le Barbenchon, Nicolas Seguin
In this paper, we present a numerical strategy to check the strong stability (or GKS-stability) of one-step explicit totally upwind schemes in 1D with numerical boundary conditions…
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…
Convergence of finite volumes schemes for the coupling between the inviscid Burgers equation and a particle
Nina Aguillon, Frédéric Lagoutière, Nicolas Seguin
In this paper, we prove the convergence of a class of finite volume schemes for the model of coupling between a Burgers fluid and a pointwise particle introduced in [LST08]. In thi…
An energy-consistent depth-averaged Euler system: derivation and properties
Marie-Odile Bristeau, Anne Mangeney, Jacques Sainte-Marie +1
In this paper, we present an original derivation process of a non-hydrostatic shallow water-type model which aims at approximating the incompressible Euler and Navier-Stokes system…
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…