Nicolas Seguin

Publications

Article dans une revue (51)

Optimizing quasi-dissipative evolution equations with the moment-SOS hierarchy Saroj Prasad Chhatoi,Didier Henrion,Swann Marx,Nicolas Seguin Discrete and Continuous Dynamical Systems - Series A, 2025, 45 (11), pp.4139-4159. ⟨10.3934/dcds.2025051⟩ Article dans une revue hal-04828131v3
Stability of finite difference schemes for the hyperbolic initial boundary value problem by winding number computations Benjamin Boutin,Pierre Le Barbenchon,Nicolas Seguin Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2025, ⟨10.5802/afst.1809⟩ Article dans une revue hal-03970775v2
A three-phase equation of state for shock-induced phase transitions in tin Corentin Stéphan,Hervé Jourdren,Nicolas Seguin ESAIM: Proceedings and Surveys, 2025, 78, pp.2-36. ⟨10.1051/proc/202578002⟩ Article dans une revue hal-05254026v2
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws Clément Cardoen,Swann Marx,Anthony Nouy,Nicolas Seguin Numerische Mathematik, 2024, 156, pp.1289-1324. ⟨10.1007/s00211-024-01428-5⟩ Article dans une revue hal-04218591v3
On the stability of totally upwind schemes for the hyperbolic initial boundary value problem Benjamin Boutin,Pierre Le Barbenchon,Nicolas Seguin IMA Journal of Numerical Analysis, 2023, 44 (2), pp.1211-1241. ⟨10.1093/imanum/drad040⟩ Article dans une revue (article de synthèse) hal-03732720v3
Asymptotic preserving discretisation of a Jin–Xin model with implicit equilibrium manifold on a bounded domain Nicolas Seguin,Magali Tournus IMA Journal of Numerical Analysis, 2020, 40 (1), pp.530-562. ⟨10.1093/imanum/dry089⟩ Article dans une revue hal-01819256v1
A stiffly stable semi-discrete scheme for the characteristic linear hyperbolic relaxation with boundary Benjamin Boutin,Thi Hoai Thuong Nguyen,Nicolas Seguin ESAIM: Mathematical Modelling and Numerical Analysis, 2020, 54 (5), pp.1569-1596. ⟨10.1051/m2an/2020010⟩ Article dans une revue hal-02136776v2
Some mathematical properties of a barotropic multiphase flow model Khaled Saleh,Nicolas Seguin ESAIM: Proceedings and Surveys, 2020, 69, pp.70-78. ⟨10.1051/proc/202069070⟩ Article dans une revue hal-01921027v2
Stability of stationary solutions of singular systems of balance laws Nicolas Seguin Confluentes Mathematici, 2018, 10 (2), pp.93-112. ⟨10.5802/cml.52⟩ Article dans une revue hal-01587722v1
Convergence of finite volumes schemes for the coupling between the inviscid Burgers equation and a particle Nina Aguillon,Frédéric Lagoutière,Nicolas Seguin Mathematics of Computation, 2017, 86, pp.157-196 ⟨10.1090/mcom/3082⟩ Article dans une revue hal-01077311v1
Error estimate for time-explicit finite volume approximation of strong solutions to systems of conservation laws Clément Cancès,Hélène Mathis,Nicolas Seguin SIAM Journal on Numerical Analysis, 2016, 54 (2), pp.1263-1287. ⟨10.1137/15M1029886⟩ Article dans une revue hal-00798287v3
Relaxation approximation of Friedrich's systems under convex constraints Jean-François Babadjian,Clément Mifsud,Nicolas Seguin Networks and Heterogeneous Media, 2016, 11 (2), pp. 223 - 237. ⟨10.3934/nhm.2016.11.223⟩ Article dans une revue hal-01157484v1
Dissipative formulation of initial boundary value problems for Friedrichs' systems Clément Mifsud,Bruno Després,Nicolas Seguin Communications in Partial Differential Equations, 2016, 41 (1), ⟨10.1080/03605302.2015.1103750⟩ Article dans une revue hal-01074542v1
Error analysis of a dynamic model adaptation procedure for nonlinear hyperbolic equations Clément Cancès,Frédéric Coquel,Edwige Godlewski,Hélène Mathis,Nicolas Seguin Communications in Mathematical Sciences, 2016, 14 (1), pp.1-30. ⟨10.4310/CMS.2016.v14.n1.a1⟩ Article dans une revue hal-00852101v1
Dynamic model adaptation for multiscale simulation of hyperbolic systems with relaxation Hélène Mathis,Clément Cancès,Edwige Godlewski,Nicolas Seguin Journal of Scientific Computing, 2015, 63 (3), pp.820-861. ⟨10.1007/s10915-014-9915-0⟩ Article dans une revue hal-00782637v2
An energy-consistent depth-averaged Euler system: derivation and properties. Marie-Odile Bristeau,Anne Mangeney,Jacques Sainte-Marie,Nicolas Seguin Discrete and Continuous Dynamical Systems - Series B, 2015, 20 (4), pp.28 Article dans une revue hal-01011691v2
Two properties of two-velocity two-pressure models for two-phase flows Frédéric Coquel,Jean-Marc Hérard,Khaled Saleh,Nicolas Seguin Communications in Mathematical Sciences, 2014, 12 (3) Article dans une revue hal-00788902v2
A simple derivation of BV bounds for inhomogeneous relaxation systems Benoît Perthame,Nicolas Seguin,Magali Tournus Communications in Mathematical Sciences, 2014, 13 (2), pp.577-586 Article dans une revue hal-00974269v1
A Robust Entropy-Satisfying Finite Volume Scheme for the Isentropic Baer-Nunziato Model Frédéric Coquel,Jean-Marc Hérard,Khaled Saleh,Nicolas Seguin ESAIM: Mathematical Modelling and Numerical Analysis, 2014, 48 (1), pp.165-206. ⟨10.1051/m2an/2013101⟩ Article dans une revue hal-00795568v2
A Robust and Entropy-Satisfying Numerical Scheme for Fluid Flows in Discontinuous Nozzles Frédéric Coquel,Khaled Saleh,Nicolas Seguin Mathematical Models and Methods in Applied Sciences, 2014, 24 (10), pp.2043-2083. ⟨10.1142/S0218202514500158⟩ Article dans une revue hal-00795446v2
Well-posedness for a one-dimensional fluid-particle interaction model Boris Andreianov,Frédéric Lagoutière,Nicolas Seguin,Takéo Takahashi SIAM Journal on Mathematical Analysis, 2014, 46 (2), ⟨10.1137/130907963⟩ Article dans une revue hal-00789315v1
MODELLING COMPRESSIBLE MULTIPHASE FLOWS Frédéric Coquel,Thierry Gallouët,Philippe Helluy,Jean-Marc Hérard,Olivier Hurisseet al. ESAIM: Proceedings, 2013, 40, pp.34-50. ⟨10.1051/proc/201340003⟩ Article dans une revue hal-01265215v1
A model of calcium transport along the rat nephron Magali Tournus,Nicolas Seguin,Benoît Perthame,S. Randal Thomas,Aurélie Edwards American Journal of Physiology, 2013, 305, pp.F979-F994. ⟨10.1152/ajprenal.00696.2012⟩ Article dans une revue hal-00871608v1
General constrained conservation laws. Application to pedestrian flow modeling. Christophe Chalons,Paola Goatin,Nicolas Seguin Networks and Heterogeneous Media, 2013, 8 (2), pp.433-463 Article dans une revue hal-00713609v1
Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes [Well-posedness of a singular balance law] Boris Andreianov,Nicolas Seguin Discrete and Continuous Dynamical Systems - Series A, 2012, 32 (6), pp. 1939-1964. ⟨10.3934/dcds.2012.32.1939⟩ Article dans une revue hal-00576959v1
A finite-volume scheme for a kidney nephron model Aurélie Edwards,Nicolas Seguin,Magali Tournus ESAIM: Proceedings, 2012, 35, pp.287-292. ⟨10.1051/proc/201235029⟩ Article dans une revue hal-00640061v2
OSAMOAL: optimized simulations by adapted models using asymptotic limits Anne-Céline Boulanger,Clément Cancès,Hélène Mathis,Khaled Saleh,Nicolas Seguin ESAIM: Proceedings and Surveys, 2012, 38, pp.183-201. ⟨10.1051/proc/201238010⟩ Article dans une revue hal-00733865v1
Relaxation of fluid systems Frédéric Coquel,Edwige Godlewski,Nicolas Seguin Mathematical Models and Methods in Applied Sciences, 2012, 22 (8), pp.52. ⟨10.1142/S0218202512500145⟩ Article dans une revue hal-00776822v1
Analysis of a simplified model of the urine concentration mechanism Magali Tournus,Aurélie Edwards,Nicolas Seguin,Benoît Perthame Networks and Heterogeneous Media, 2012, 7 (4), pp.989-1018. ⟨10.3934/nhm.2012.7.989⟩ Article dans une revue hal-00605109v2
Error estimate for Godunov approximation of locally constrained conservation laws Clément Cancès,Nicolas Seguin SIAM Journal on Numerical Analysis, 2012, 50 (6), pp.3036--3060. ⟨10.1137/110836912⟩ Article dans une revue hal-00599581v2
Finite volume schemes for locally constrained conservation laws Boris Andreianov,Paola Goatin,Nicolas Seguin Numerische Mathematik, 2010, 115 (4), pp. 609-645. ⟨10.1007/s00211-009-0286-7⟩ Article dans une revue hal-00387806v1
Finite volume schemes for constrained conservation laws Paola Goatin,Nicolas Seguin,Boris Andreianov Numerische Mathematik, 2010, 115 (4), pp.609-645 Article dans une revue inria-00534872v1
Small solids in an inviscid fluid Boris Andreianov,Frédéric Lagoutière,Nicolas Seguin,Takéo Takahashi Networks and Heterogeneous Media, 2010, 5 (3), pp.385-404. ⟨10.3934/nhm.2010.5.385⟩ Article dans une revue hal-00590617v1
A simple 1D model of inviscid fluid-solid interaction Frédéric Lagoutière,Nicolas Seguin,Takéo Takahashi Journal of Differential Equations, 2008, 245 (11), pp.3503-3544. ⟨10.1016/j.jde.2008.03.011⟩ Article dans une revue istex hal-00590649v1
The coupling of homogeneous models for two-phase flows Annalisa Ambroso,Christophe Chalons,Frédéric Coquel,Edwige Godlewski,Frédéric Lagoutièreet al. International Journal on Finite Volumes, 2007, 4, pp.1--39 Article dans une revue hal-01117451v1
Evaluation of well-balanced bore-capturing schemes for 2D wetting and drying process Fabien Marche,Philippe Bonneton,Pierre Fabrie,Nicolas Seguin International Journal for Numerical Methods in Fluids, 2007, 53 (5), pp.867-894. ⟨10.1002/fld.1311⟩ Article dans une revue istex hal-00383513v1
Evaluation of well-balanced bore-capturing schemes for 2D wetting and drying processes. P. Bonneton,Pierre Fabrie,F. Marche,Nicolas Seguin International Journal for Numerical Methods in Fluids, 2007, 53 (5), pp.867-894 Article dans une revue hal-00295018v1
The Riemann problem for a simple model of phase transition. Edwige Godlewski,Nicolas Seguin Communications in Mathematical Sciences, 2006, 4, pp.227-247 Article dans une revue hal-00113098v1
Relaxation models of phase transition flows Philippe Helluy,Nicolas Seguin ESAIM: Mathematical Modelling and Numerical Analysis, 2006, 40 (2), pp.331-352 Article dans une revue hal-00139607v1
Numerical simulation of wave breaking Philippe Helluy,Frederic Golay,Jean-Paul Caltagirone,Pierre Lubin,Stephane P. Vincentet al. ESAIM: Mathematical Modelling and Numerical Analysis, 2005, 39 (3), pp.591-607 Article dans une revue hal-00139601v1
Numerical simulations of wave breaking Nicolas Seguin,P. Helluy,Frederic Golay,J.P. Caltagirone,P. Lubinet al. ESAIM: Mathematical Modelling and Numerical Analysis, 2005, 39-3, pp.591-607 Article dans une revue hal-00017441v1
A well-balanced numerical scheme for the approximation of the shallow-water equations with topography: the resonance phenomenon Nicolas Seguin,A. Chinnayya,A.-Y. Leroux International Journal on Finite Volumes, 2004, 1, pp.1-33 Article dans une revue hal-00017378v1
Numerical modeling of two-phase flows using the two-fluid two-pressure approach Thierry Gallouët,Jean-Marc Herard,Nicolas Seguin Mathematical Models and Methods in Applied Sciences, 2004, 14, pp.663-700 Article dans une revue hal-00003327v1
On the use of symmetrizing variables for vacuum Thierry Gallouët,Jean-Marc Herard,Nicolas Seguin Calcolo, 2003, vol 40, no 3, pp 163-194 Article dans une revue hal-00003439v1
Some approximate Godunov schemes to compute shallow-water equations with topography Thierry Gallouët,Jean-Marc Hérard,Nicolas Seguin Computers and Fluids, 2003, 32 (4), pp.479-513. ⟨10.1016/S0045-7930(02)00011-7⟩ Article dans une revue hal-01290889v1
On the use of symmetrizing variables for vacuums Thierry Gallouët,Jean-Marc Hérard,Nicolas Seguin Calcolo, 2003, 40, pp.163-194. ⟨10.1007/s10092-003-0075-0⟩ Article dans une revue istex hal-04489595v1
Analysis and approximation of a scalar conservation law with a flux function with discontinuous coefficients Nicolas Seguin,Julien Vovelle Mathematical Models and Methods in Applied Sciences, 2003, 13 (2), pp.221-257. ⟨10.1142/S0218202503002477⟩ Article dans une revue hal-01376535v1
Closure laws for a two-fluid two-pressure model Frédéric Coquel,Thierry Gallouët,Jean-Marc Hérard,Nicolas Seguin Comptes Rendus. Mathématique, 2002, 334 (10), pp.927-932. ⟨10.1016/S1631-073X(02)02366-X⟩ Article dans une revue hal-01484345v1
A HYBRID SCHEME TO COMPUTE CONTACT DISCONTINUITIES IN ONE-DIMENSIONAL EULER SYSTEMS Thierry Gallouët,Jean-Marc Hérard,Nicolas Seguin ESAIM: Mathematical Modelling and Numerical Analysis, 2002, 36, pp.1133-1159. ⟨10.1051/m2an:2003009⟩ Article dans une revue hal-01291260v1
Some recent Finite Volume schemes to compute Euler equations using real gas EOS Thierry Gallouët,Jean-Marc Hérard,Nicolas Seguin International Journal for Numerical Methods in Fluids, 2002, 39, pp.1073-1138. ⟨10.1002/fld.346⟩ Article dans une revue hal-01290885v1
Hybrid schemes to compute contact discontinuities in Euler equations with any EOS Thierry Gallouët,Jean-Marc Hérard,Nicolas Seguin Comptes Rendus. Mécanique, 2002, 330 (6), pp.445-450. ⟨10.1016/S1631-0721(02)01482-1⟩ Article dans une revue hal-01484349v1

N°spécial de revue/special issue (5)

Sixth Workshop on Compressible Multiphase Flows - Derivation, Closure laws, Thermodynamics Philippe Helluy,Jean-Marc Hérard,Nicolas Seguin ESAIM: Proceedings and Surveys, 78, pp.1-1, 2025, ⟨10.1051/proc/202578001⟩ N°spécial de revue/special issue hal-05409989v1
Editorial: Workshop “New Trends in Complex Flows” Gloria Faccanoni,Bérénice Grec,Jean-Marc Hérard,Olivier Hurisse,Jonathan Junget al. ESAIM: Proceedings and Surveys, 76, pp.1-1, 2024, ⟨10.1051/proc/202476001⟩ N°spécial de revue/special issue hal-04726638v1
Fourth Workshop on Compressible Multiphase Flows - Derivation, Closure laws, Thermodynamics Philippe Helluy,Jean-Marc Hérard,Nicolas Seguin ESAIM: Proceedings and Surveys, 72, pp.1-1, 2023, ⟨10.1051/proc/202372001⟩ N°spécial de revue/special issue hal-04179262v1
Second Workshop on Compressible Multiphase Flows: Derivation, closure laws, thermodynamics Philippe Helluy,Jean-Marc Hérard,Nicolas Seguin ESAIM: Proceedings and Surveys, 69, 2021, ⟨10.1051/proc/202069000⟩ N°spécial de revue/special issue hal-03153699v1
Workshop on compressible multiphase flows: derivation, closure laws, thermodynamics, Philippe Helluy,Jean-Marc Hérard,Nicolas Seguin ESAIM: Proceedings and Surveys, 66, 2019, ⟨10.1051/proc/201966000⟩ N°spécial de revue/special issue hal-03153665v1

Pré-publication, Document de travail (5)

Averaged models for compressible two-phase stratified flows on thin domains Nicolas Seguin,Khaled Saleh,Pierrick Le Vourc'H 2025 Pré-publication, Document de travail hal-05096837v1
Analysis of compressible bubbly flows. Part II: Derivation of a macroscopic model Matthieu Hillairet,Hélène Mathis,Nicolas Seguin 2022 Pré-publication, Document de travail hal-03621307v1
Analysis of compressible bubbly flows. Part I : construction of a microscopic model Matthieu Hillairet,Hélène Mathis,Nicolas Seguin 2022 Pré-publication, Document de travail hal-03621294v1
A stiffly stable fully discrete scheme for the damped wave equation using discrete transparent boundary condition Benjamin Boutin,Thi Hoai Thuong Nguyen,Nicolas Seguin 2020 Pré-publication, Document de travail hal-02566911v1
Godunov-type schemes for hyperbolic systems with parameter dependent source. The case of Euler system with friction Christophe Chalons,Frédéric Coquel,Edwige Godlewski,Pierre-Arnaud Raviart,Nicolas Seguin 2009 Pré-publication, Document de travail hal-00401616v1

Rapport (2)

Stabilité locale et montée en ordre pour la reconstruction de quantités volumes finis sur maillages coniques non-structurés en dimension 2 Aude Bernard-Champmartin,Philippe Hoch,Nicolas Seguin [Rapport de recherche] CEA, CEA/DAM/DIF, Bruyères-le-Châtel, France; Univ-Rennes1; Université Paris 6. 2020 Rapport (rapport de recherche) hal-02497832v1
Weak solutions to Friedrichs systems with convex constraints Bruno Després,Frédéric Lagoutière,Nicolas Seguin 2011 Rapport hal-00563993v1

Communication dans un congrès (5)

A class of two-fluid two-phase flow models Frédéric Coquel,Jean-Marc Hérard,Khaled Saleh,Nicolas Seguin 42nd AIAA Fluid Dynamics Conference and Exhibit, Jun 2012, New Orleans, United States. ⟨10.2514/6.2012-3356⟩ Communication dans un congrès hal-01582645v1
Upwind Finite Volume Schemes for One and Two Dimensional Euler Equations Thierry Gallouët,Jean-Marc Hérard,Raphaèle Herbin,Jullian Nicolas,Nicolas Seguin 16th AIAA Computational Fluid Dynamics Conference, Jun 2003, Orlando, United States. ⟨10.2514/6.2003-4122⟩ Communication dans un congrès hal-01583877v1
Partial Review of Positivity Constraints in Some Two Phase Flow Models Sébastien Clerc,Thierry Gallouët,Jean-Marc Hérard,Nicolas Seguin 32nd AIAA Fluid Dynamics Conference, Jun 2002, Saint Louis, United States. ⟨10.2514/6.2002-3185⟩ Communication dans un congrès hal-01583902v1
An alternative way to deal with two-fluid models Thierry Gallouet,Jean-Marc Hérard,Nicolas Seguin 15th AIAA Computational Fluid Dynamics Conference, Jun 2001, Anaheim, United States. ⟨10.2514/6.2001-2653⟩ Communication dans un congrès hal-05436451v1
On the use of symmetrizing variables to deal with vacuum Thierry Gallouet,Jean-Marc Hérard,Nicolas Seguin 15th AIAA Computational Fluid Dynamics Conference, Jun 2001, Anaheim, France. ⟨10.2514/6.2001-2670⟩ Communication dans un congrès hal-05436434v1

HDR (1)

Étude d'équations aux dérivées partielles hyperboliques en mécanique des fluides Nicolas Seguin Equations aux dérivées partielles [math.AP]. Université Pierre et Marie Curie - Paris VI, 2011 HDR tel-00667830v1

Thèse (1)

Modélisation et simulation numérique des écoulements diphasiques Nicolas Seguin Mathematics [math]. Université de Provence - Aix-Marseille I, 2002. English. ⟨NNT : ⟩ Thèse tel-00003139v1

Chapitre d'ouvrage (2)

True rate of convergence of some upwinding finite volume schemes for Euler equations Thierry Gallouët,Jean-Marc Hérard,Nicolas Seguin Raphaele Herbin - Dietmar Kroner. FVCA III, Hermès Penton Science, pp.745-752, 2002, Finite Volumes for complex applications III - Problems and perspectives Chapitre d'ouvrage hal-01581183v1
Approximation by Finite Volume schemes of a two-fluid two-pressure model for two-phase flow Thierry Gallouët,Jean-Marc Hérard,Nicolas Seguin Raphaele Herbin - Dietmar Kroner. FVCA III, Hermès Penton Science, pp.559-566, 2002, Finite Volumes for complex applications III - Problems and perspectives Chapitre d'ouvrage hal-01581191v1