Research interests

Applications. Compressible fluids, shallow water flows, two-phase flows, liquid–vapor phase transition, traffic flows, fluid-particle interaction, kidney modeling, elastoplasticity…
Models. Conservation laws, non-linear hyperbolic systems of PDE, conservative and nonconservative interfaces, resonance, nonconservative systems, relaxation, multiscale problems, model coupling, Friedrichs systems…
Numerics. Finite volume methods, well-balanced schemes, entropy-satisfying schemes, relaxation methods, asymptotic-preserving schemes, micro–macro methods…

Publications

The Cost of Knowledge – I won't publish, won't referee, won't do editorial work for Elsevier journals.

Habilitation à diriger des recherches

Habilitation à diriger des recherches, defended the 8th of December, 2011, UPMC – Paris 6
Étude d’équations aux dérivées partielles hyperboliques en mécanique des fluides
[HAL]

Thèse de Doctorat

PhD advised by Jean-Marc Hérard, defended the 22nd of November, 2002, Université de Provence
Modélisation et simulation numérique des écoulements diphasiques
[HAL]

Submitted papers and papers in preparation

B. Boutin, T. H. T. Nguyen, N. Seguin [HAL]
A stiffly stable fully discrete scheme for the damped wave equation using discrete transparent boundary condition

Accepted papers and published papers in international journals

B. Boutin, P. Le Barbenchon, N. Seguin [arXiv]
Stability of finite difference schemes for the hyperbolic initial boundary value problem by winding number computations
Annales de la Faculté des Sciences de Toulouse, accepted for publication.
C. Cardoen, S. Marx, A. Nouy, N. Seguin [arXiv]
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws
Numerische Mathematik, volume 156, 2024.
B. Boutin, P. Le Barbenchon, N. Seguin [HAL]
On the stability of totally upwind schemes for the hyperbolic initial boundary value problem
IMA Journal of Numerical Analysis, Volume 44(2), 2024.
M. Hillairet, H. Mathis, N. Seguin [HAL]
Analysis of compressible bubbly flows. Part I: construction of a microscopic model
Mathematical Modelling and Numerical Analysis (M2AN), Volume 57(5), 2023.
M. Hillairet, H. Mathis, N. Seguin [HAL]
Analysis of compressible bubbly flows. Part II: Derivation of a macroscopic model
Mathematical Modelling and Numerical Analysis (M2AN), Volume 57(5), 2023.
B. Boutin, T. H. T. Nguyen, N. Seguin [HAL]
A stiffly stable semi-discrete scheme for the characteristic linear hyperbolic relaxation with boundary
Mathematical Modelling and Numerical Analysis (M2AN), Volume 54(5), 2020.
N. Seguin, M. Tournus [HAL]
Asymptotic preserving discretization of a Jin–Xin model with implicit equilibrium manifold on a bounded domain
IMA Journal of Numerical Analysis, Volume 40(1), 2020.
N. Seguin [HAL]
Stability of stationary solutions of singular systems of balance laws
Confluentes Mathematici, Tome 10(2), 2018.
N. Aguillon, F. Lagoutière, N. Seguin [HAL]
Convergence of finite volumes schemes for the coupling between the inviscid Burgers equation and a particle
Mathematics of Computation, Volume 86(303), 2017.
C. Cancès, H. Mathis, N. Seguin [HAL]
Error estimate for time-explicit finite volume approximation of strong solutions to systems of conservation laws
SIAM Journal on Numerical Analysis (SINUM), Volume 54(2), 2016.
J.-F. Babadjian, C. Mifsud, N. Seguin [HAL]
Relaxation approximation of Friedrichs' systems under convex constraints
Networks and Heterogeneous Media, Volume 11(2), 2016.
C. Mifsud, B. Després, N. Seguin [HAL]
Dissipative formulation of initial boundary value problems for Friedrichs' systems
Communications in Partial Differential Equations, Volume 41(1), 2016.
C. Cancès, F. Coquel, E. Godlewski, H. Mathis, N. Seguin [HAL]
Error analysis of a dynamic model adaptation procedure for nonlinear hyperbolic equations
Communications in Mathematical Sciences, Volume 14(1), 2016.
M.-O. Bristeau, A. Mangeney, J. Sainte-Marie, N. Seguin [HAL]
An energy-consistent depth-averaged Euler system: derivation and properties
Discrete and Continuous Dynamical Systems - Series B, Volume 20(4), 2015.
H. Mathis, C. Cancès, E. Godlewski, N. Seguin [HAL]
Dynamic model adaptation for multiscale simulation of hyperbolic systems with relaxation
Journal of Scientific Computing, Volume 63(3), 2015.
B. Andreianov, F. Lagoutière, N. Seguin, T. Takahashi [HAL]
Well-posedness for a one-dimensional fluid-particle interaction model
SIAM Journal on Mathematical Analysis, volume 46(2), 2014.
F. Coquel, K. Saleh, N. Seguin [HAL]
A robust and entropy-satisfying numerical scheme for fluid flows in discontinuous nozzles
Mathematical Models and Methods in Applied Sciences (M3AS), volume 24(10), 2014.
F. Coquel, J.-M. Hérard, K. Saleh, N. Seguin [HAL]
A robust entropy-satisfying finite volume scheme for the isentropic Baer–Nunziato model
Mathematical Modelling and Numerical Analysis (M2AN), volume 48, 2013.
M. Tournus, N. Seguin, B. Perthame, S. R. Thomas, A. Edwards [Journal]
A model of calcium transport along the rat nephron
American Journal of Physiology - Renal Physiology, 2013.
C. Chalons, P. Goatin, N. Seguin [HAL]
General constrained conservation laws. Application to pedestrian flow modeling
Networks and Heterogeneous Media, volume 8(2), 2013.
M. Tournus, A. Edwards, N. Seguin, B. Perthame [Journal]
Analysis of a simpliﬁed model of the urine concentration mechanism
Networks and Heterogeneous Media, volume 7(4), 2012.
C. Cancès, N. Seguin [Journal]
Error estimate for Godunov approximation of locally constrained conservation laws
SIAM Journal on Numerical Analysis (SINUM), volume 50(6), 2012.
B. Andreianov, N. Seguin [Journal]
Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes
Discrete and Continuous Dynamical Systems - Series A (DCDS-A), volume 32(6), 2012.
F. Coquel, E. Godlewski, N. Seguin [Journal]
Relaxation of fluid systems
Mathematical Models and Methods in Applied Sciences (M3AS), volume 22(8), 2012.
B. Després, F. Lagoutière, N. Seguin [Journal]
Weak solutions to Friedrichs systems with convex constraints
Nonlinearity, volume 24, 2011.
C. Chalons, F. Coquel, E. Godlewski, P.-A. Raviart, N. Seguin [Journal]
Godunov-type schemes for hyperbolic systems with parameter-dependent source: the case of Euler system with friction
Mathematical Models and Methods in Applied Sciences (M3AS), volume 20(11), 2010.
B. Andreianov, P. Goatin, N. Seguin [Journal]
Finite volume schemes for locally constrained conservation laws
Numerische Mathematik, volume 115(4), 2010.
C. Chalons, P.-A. Raviart, N. Seguin [Journal]
The interface coupling of the gas dynamics equations
Quarterly of Applied Mathematics, volume 66(4), 2008.
F. Lagoutière, N. Seguin, T. Takahashi [Journal]
A simple 1D model of inviscid fluid-solid interaction
Journal of Differential Equations, volume 245(11), 2008.
A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutière, P.-A. Raviart, N. Seguin [Journal]
Coupling of general Lagrangian systems
Mathematics of Computation, volume 77, 2008.
A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutière, P.-A. Raviart, N. Seguin [Journal]
The coupling of homogeneous models for two-phase flows
International Journal on Finite Volume (electronic), volume 4(1), 2007.
F. Marche, P. Bonneton, P. Fabrie, N. Seguin [Journal]
Evaluation of well-balanced bore-capturing schemes for 2D wetting and drying processes
International Journal for Numerical Methods in Fluids, volume 53(5), 2007.
P. Helluy, N. Seguin [Journal]
Relaxation models of phase transition flows
Mathematical Modelling and Numerical Analysis (M2AN), volume 40(2), 2006.
E. Godlewski, N. Seguin [Journal]
The Riemann problem for a simple model of phase transition
Communications in Mathematical Sciences, volume 4(1), 2006.
A. Chinnayya, A.-Y. LeRoux, N. Seguin [Journal]
A well-balanced numerical scheme for the approximation of the shallow-water equations with topography: the resonance phenomenon
International Journal on Finite Volume (electronic), volume 1(1), 2004.
T. Gallouët, J.-M. Hérard, N. Seguin [Journal]
Numerical modeling of two-phase flows using the two-fluid two-pressure approach
Mathematical Models and Methods in Applied Sciences (M3AS), volume 14(5), 2004.
T. Gallouët, J.-M. Hérard, N. Seguin [Journal]
On the use of symmetrizing variables for vacuums
Calcolo, volume 40(3), 2003.
N. Seguin, J. Vovelle [Journal]
Analysis and approximation of a scalar conservation law with a flux function with discontinuous coefficients
Mathematical Models and Methods in Applied Sciences (M3AS), volume 13(2), 2003.
T. Gallouët, J.-M. Hérard, N. Seguin [Journal]
A hybrid scheme to compute contact discontinuities in one-dimensional Euler systems
Mathematical Modelling and Numerical Analysis (M2AN), volume 36(6), 2003.
T. Gallouët, J.-M. Hérard, N. Seguin [Journal]
Some approximate Godunov schemes to compute shallow-water equations with topography
Computers and Fluids, volume 32(4), 2003.
T. Gallouët, J.-M. Hérard, N. Seguin [Journal]
Some recent Finite Volume schemes to compute Euler equations using real gas EOS
International Journal for Numerical Methods in Fluids, volume 39(12), 2002.

Notes and short papers

B. Perthame, N. Seguin, M. Tournus [HAL]
A simple derivation of BV bounds for inhomogeneous relaxation systems
Communications in Mathematical Sciences, Volume 13(2), 2015.
F. Coquel, J.-M. Hérard, K. Saleh, N. Seguin [HAL]
Two properties of two-velocity two-pressure models for two-phase flows
Communications in Mathematical Sciences, volume 12(3), 2014.
A. Ambroso, C. Chalons, F. Coquel, T. Galié, E. Godlewski, P.A. Raviart, N. Seguin [Journal]
The drift-flux asymptotic limit of barotropic two-phase two-pressure models
Communications in Mathematical Sciences, volume 6(2), 2008.
A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutière, P.A. Raviart, N. Seguin [Journal]
Relaxation methods and coupling procedures
International Journal for Numerical Methods in Fluids, volume 56, 2008.
F. Coquel, T. Gallouët, J.-M. Hérard, N. Seguin [Journal]
Closure laws for a two-phase two-pressure model
Comptes Rendus Mathématique, volume 334, 2002.
T. Gallouët, J.-M. Hérard, N. Seguin
Hybrid schemes to compute contact discontinuities in Euler equations with any EOS
Comptes Rendus Mécanique, volume 330, 2002.

Papers in conference proceedings

K. Saleh,, N. Seguin
Some mathematical properties of a barotropic multiphase flow model
Second Workshop on Compressible Multiphase Flows: Derivation, closure laws, thermodynamics, Strasbourg, France, May 27-29, 2019,
In ESAIM: ProcS Volume 69, 2020.
F. Coquel, T. Gallouët, P. Helluy, J.-M. Hérard, O. Hurisse, N. Seguin
Modelling compressible multiphase flows
AMIS 2012: Multiphase flow in industrial and environmental engineering, Chambéry, France, June 19-22, 2012,
In ESAIM: Proc. Volume 40, 2013.
F. Coquel, M. Gutnic, P. Helluy, F. Lagoutière, C. Rohde, N. Seguin [Journal]
Foreword of the CEMRACS'11
CEMRACS’11: Multiscale Coupling of Complex Models in Scientific Computing, Marseille, France, July 18–August 26, 2011,
In ESAIM: Proc. Volume 38, page 1, 2012.
A.-C. Boulanger, C. Cancès, H. Mathis, K. Saleh, N. Seguin [Journal]
OSAMOAL: optimized simulations by adapted models using asymptotic limits
CEMRACS’11: Multiscale Coupling of Complex Models in Scientific Computing, Marseille, France, July 18–August 26, 2011,
In ESAIM: Proc. Volume 38, 2012.
A. Edwards, N. Seguin, M. Tournus
A finite-volume scheme for a kidney nephron model
Congrès National de Mathématiques Appliquées et Industrielles, Guidel, France, 23-27 mai 2011,
In ESAIM: Proc. Volume 35, 2012.
H. Mathis, N. Seguin
Model adaptation for hyperbolic systems with relaxation
Finite volumes for complex applications VI, Prague, République Tchèque, 6-10 juin 2011, Springer.
F. Coquel, K. Saleh, N. Seguin
A relaxation approach for simulating fluid flows in a nozzle
Finite volumes for complex applications VI, Prague, République Tchèque, 6-10 juin 2011, Springer.
B. Andreianov, F. Lagoutière, N. Seguin, T. Takahashi [Journal]
Small solids in an inviscid fluid
New Trends in Model Coupling (NTMC'09), Paris, 2-4 septembre 2009,
In Networks and Heterogeneous Media, Volume 5(3), 2010.
F. Coquel, E. Godlewski, P.-A. Raviart, N. Seguin
An asymptotic preserving scheme for Euler equations with gravity and friction
Finite volumes for complex applications V, Aussois, France, 8-13 juin 2008, ISTE, Londres.
A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutière, P.-A. Raviart, N. Seguin
A relaxation method for the coupling of systems of conservation laws
HYP2006, Lyon, 17-21 juillet 2006,
In Hyperbolic problems: theory, numerics, applications, Eds: S. Benzoni-Gavage & D. Serre, Springer, 2008.
A. Ambroso, C. Chalons, F. Coquel, T. Galié, E. Godlewski, F. Lagoutière, P.-A. Raviart, N. Seguin
Numerical coupling of two-phase flows
Scientific Computing and Partial Differential Equations, Hong Kong, 12-16 décembre 2005,
In Recent progress in scientific computing, Eds: W. Liu, M. Ng & Z.-C. Shi, Science Press, 2007.
A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutière, P.-A. Raviart, N. Seguin
Homogeneous models with phase transition: coupling by finite volume methods
Finite volumes for complex applications IV, Marrakech, Maroc, 4-8 juillet 2005, Hermes Science.
P. Helluy, F. Golay, J.-P. Caltagirone, P. Lubin, S. Vincent, D. Drevard, R. Marcer, P. Fraunié, N. Seguin, S. Grilli, A.-C. Lesage, A. Dervieux, O. Allain [Journal]
Numerical simulations of wave breaking
Low Mach Number Flows Conference, Porquerolles, France, 21-25 juin 2004,
In Mathematical Modelling and Numerical Analysis (M2AN), volume 39(3), 2005.
T. Gallouët, J.-M. Hérard, N. Seguin
Approximation by Finite Volume schemes of a two-fluid two-pressure model for two phase flows
Finite volumes for complex applications III, Porquerolles, France, 24-28 juin 2002, Hermes Penton Science.
T. Gallouët, J.-M. Hérard, N. Seguin
True rate of convergence of some upwinding finite volume schemes for Euler equations
Finite volumes for complex applications III, Porquerolles, France, 24-28 juin 2002, Hermes Penton Science.
N. Seguin, J. Vovelle
Analysis and approximation of a scalar conservation law with a flux function with discontinuous coefficients
Finite volumes for complex applications III, Porquerolles, France, 24-28 juin 2002, Hermes Penton Science.
T. Gallouët, J.-M. Hérard, N. Seguin
An alternative way to deal with two fluid models
15th AIAA CFD Conference, Anaheim, California, USA, 11-14 juin 2001, AIAA paper 2001-2653.
T. Gallouët, J.-M. Hérard, N. Seguin
On the use of symmetrizing variables to deal with vacuum
15th AIAA CFD Conference, Anaheim, California, USA, 11-14 juin 2001, AIAA paper 2001-2670.

Miscellaneous

B. Després, N. Seguin [Journal]
Schémas numériques de volumes finis
Techniques de l'ingénieur, AF508, 2012.