## Ghidaglia, Jean-Michel

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 Author ID: ghidaglia.jean-michel Published as: Ghidaglia, Jean-Michel; Ghidaglia, J. M.; Ghidaglia, J.-M.; Ghidaglia, Jean-Michael; Ghiadaglia, Jean-Michel more...less
 Documents Indexed: 102 Publications since 1984, including 2 Books 3 Contributions as Editor Co-Authors: 64 Co-Authors with 87 Joint Publications 1,299 Co-Co-Authors
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### Co-Authors

 18 single-authored 10 Pascal, Frédéric P. 10 Temam, Roger Meyer 7 Dias, Frédéric 7 Saut, Jean-Claude 6 Bethuel, Fabrice 5 Bouche, Daniel P. 5 Braeunig, Jean-Philippe 5 Colin, Thierry 5 Kumbaro, Anela 4 Demengel, Françoise 4 Desjardins, Benoît 4 Le Coq, Gérard 3 Ancellin, Matthieu 3 Brosset, Laurent 3 Chauveheid, Daniel 3 Coron, Jean-Michel 3 Faure, Sylvain 3 Labourdette, Christophe 2 Bardos, Claude Williams 2 Benjelloun, Saad 2 Bernard-Champmartin, Aude 2 De Vuyst, Florian 2 Desvillettes, Laurent 2 Francescatto, Jerome 2 Loubère, Raphaël 2 Marion, Martine 2 Marzocchi, Alfredo 2 Redford, John A. 1 Alouges, François 1 Bamberger, Alain 1 Bidégaray-Fesquet, Brigitte 1 Blais, Bruno 1 Brefort, B. 1 Bresch, Didier 1 Clair, G. 1 Clouet, Jean-François 1 Coron, François 1 D’alesio, Silvia 1 Dauvergne, Frédéric 1 Després, Bruno 1 Dutykh, Denys 1 Frogé, Bruno 1 Grenier, Emmanuel 1 Gueguin, Maxime 1 Hafid, Fikri 1 Hateau, David 1 Hélein, Frédéric 1 Heron, Bernard 1 Kamvissis, Spyridon 1 Kevlahan, Nicholas K.-R. 1 Lafitte, Olivier D. 1 Mathiaud, Julien 1 Mrabet, Ahmed Amine 1 Perlat, Jean-Philippe 1 Peybernes, Mathieu 1 Pougeard-Dulimbert, Thierry 1 Poujade, O. 1 Quivy, Laure 1 Ricoux, Philippe 1 Rovarch, Jean-Michel 1 Sollier, Arnaud 1 Soyeur, Alain 1 Stoufflet, Bruno 1 Tajchman, Marc
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### Serials

 15 European Journal of Mechanics. B. Fluids 9 Comptes Rendus de l’Académie des Sciences. Série I 3 Journal of Differential Equations 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 SIAM Journal on Mathematical Analysis 2 Computers and Fluids 2 Journal of Computational Physics 2 Applied Numerical Mathematics 2 Asymptotic Analysis 2 Differential and Integral Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Nonlinear Science 2 Nonlinear Analysis. Theory, Methods & Applications 2 International Journal on Finite Volumes 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Transport Theory and Statistical Physics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Note di Matematica 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 European Journal of Mechanics. B. Fluids 1 Communications in Partial Differential Equations 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Advances in Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Contemporary Mathematics 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Travaux en Cours 1 Journal of Applied Analysis and Computation
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### Fields

 67 Partial differential equations (35-XX) 53 Fluid mechanics (76-XX) 25 Numerical analysis (65-XX) 18 Dynamical systems and ergodic theory (37-XX) 6 Ordinary differential equations (34-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 General and overarching topics; collections (00-XX) 4 Optics, electromagnetic theory (78-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

80 Publications have been cited 1,170 times in 954 Documents Cited by Year
Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time. Zbl 0668.35084
Ghidaglia, Jean-Michel
1988
Attractors for damped nonlinear hyperbolic equations. Zbl 0572.35071
Ghidaglia, J. M.; Temam, R.
1987
On the initial value problem for the Davey-Stewartson systems. Zbl 0727.35111
Ghidaglia, Jean-Michel; Saut, Jean-Claude
1990
Dimension of the attractors associated to the Ginzburg-Landau partial differential equation. Zbl 0623.58049
Ghidaglia, J. M.; Héron, B.
1987
Finite dimensional behavior for weakly damped driven Schrödinger equations. Zbl 0659.35019
Ghidaglia, Jean-Michel
1988
A note on the strong convergence towards attractors of damped forced KdV equations. Zbl 0805.35114
Ghidaglia, Jean-Michel
1994
Longtime behaviour of strongly damped wave equations, global attractors and their dimension. Zbl 0735.35015
Ghidaglia, J. M.; Marzocchi, A.
1991
Computation of turbulent flow past an array of cylinders using a spectral method with Brinkman penalization. Zbl 1020.76037
Kevlahan, Nicholas K.-R.; Ghidaglia, Jean-Michel
2001
Explosion en temps fini pour le flot des applications harmoniques. (Finite-time blow up for the heat flow of harmonic mappings). Zbl 0679.58017
Coron, Jean-Michel; Ghidaglia, Jean-Michel
1989
On the numerical solution to two-fluid models via a cell-centered finite volume method. Zbl 1059.76041
Ghidaglia, Jean-Michel; Kumbaro, Anela; Le Coq, Gérard
2001
An initial-boundary value problem for the Korteweg-de Vries equation posed on a finite interval. Zbl 1022.35055
Colin, Thierry; Ghidaglia, Jean-Michel
2001
Some backward uniqueness results. Zbl 0622.35029
Ghidaglia, Jean-Michel
1986
Attractors for the penalized Navier-Stokes equations. Zbl 0696.35131
Brefort, B.; Ghidaglia, J. M.; Temam, R.
1988
Improved regularity of solutions to elliptic equations involving Jacobians and applications. Zbl 0831.35025
Bethuel, F.; Ghidaglia, J.-M.
1993
Global weak solutions to a generic two-fluid model. Zbl 1193.35146
Bresch, D.; Desjardins, B.; Ghidaglia, J.-M.; Grenier, E.
2010
Generalization of the Sobolev-Lieb-Thirring inequalities and applications to the dimension of attractors. Zbl 0745.46037
Ghidaglia, Jean-Michel; Marion, Martine; Temam, Roger
1988
A finite volume method with characteristic flow for the numerical solution of hyperbolic systems of conservation laws. (Une méthode “volumes finis” à flux caractéristiques pour la résolution numérique des systèmes hyperboliques de lois de conservation.) Zbl 0849.65076
Ghidaglia, Jean-Michel; Kumbaro, Anela; Le Coq, Gérard
1996
Regularity of the solutions of second order evolution equations and their attractors. Zbl 0666.35062
Ghidaglia, J. M.; Temam, R.
1987
Slamming: recent progress in the evaluation of impact pressures. Zbl 1384.76046
Dias, Frédéric; Ghidaglia, Jean-Michel
2018
Nonelliptic Schrödinger equations. Zbl 0808.35135
Ghidaglia, Jean-Michel; Saut, Jean-Claude
1993
Régularité des solutions de certains problèmes aux limites linéaires liés aux équations d’Euler. (Regularity of the solutions of certain linear boundary value problems associated with the Euler equations). Zbl 0602.35093
Ghidaglia, J. M.
1984
Nonexistence of travelling wave solutions to nonelliptic nonlinear Schrödinger equations. Zbl 0848.35123
Ghidaglia, J. M.; Saut, J. C.
1996
Error estimate and the geometric corrector for the upwind finite volume method applied to the linear advection equation. Zbl 1094.65089
Bouche, Daniel; Ghidaglia, Jean-Michel; Pascal, Frédéric
2005
A totally Eulerian finite volume solver for multi-material fluid flows. Zbl 1167.76342
Braeunig, J.-P.; Desjardins, B.; Ghidaglia, J.-M.
2009
The normal flux method at the boundary for multidimensional finite volume approximations in CFD. Zbl 1060.76076
Ghidaglia, Jean-Michel; Pascal, Frédéric
2005
A totally Eulerian finite volume solver for multi-material fluid flows: enhanced natural interface positioning (ENIP). Zbl 1258.76116
Loubère, Raphaël; Braeunig, Jean-Philippe; Ghidaglia, Jean-Michel
2012
A two-fluid model for violent aerated flows. Zbl 1242.76329
Dias, Frédéric; Dutykh, Denys; Ghidaglia, Jean-Michel
2010
On the fractal dimension of attractors for viscous incompressible fluid flows. Zbl 0626.35078
Ghidaglia, J.-M.
1986
Long time behavior for partly dissipative equations: The slightly compressible 2D-Navier-Stokes equations. Zbl 0657.76029
Ghidaglia, J. M.; Temam, R.
1988
Heat flows and relaxed energies for harmonic maps. Zbl 0795.35053
Bethuel, Fabrice; Coron, Jean-Michel; Ghidaglia, Jean-Michel; Soyeur, Alain
1992
Long time behaviour of solutions of abstract inequalities. Applications to thermohydraulic and magnetohydrodynamic equations. Zbl 0549.35102
Ghidaglia, Jean-Michel
1986
Inertial manifolds for partial differential evolution equations under time-discretization: Existence, convergence, and applications. Zbl 0726.35056
Demengel, Françoise; Ghidaglia, Jean-Michel
1991
A mixed initial-boundary-value problem for the Korteweg-de Vries equation on a bounded interval. (Un problème mixte pour l’équation de Korteweg-de Vries sur un intervalle borné.) Zbl 0879.35134
Colin, Thierry; Ghidaglia, Jean-Michel
1997
Minimizing Oseen-Frank energy for nematic liquid crystals: Algorithms and numerical results. Zbl 0911.35007
Alouges, F.; Ghidaglia, J. M.
1997
Exact decay estimates for solutions to semilinear parabolic equations. Zbl 0724.35015
Ghidaglia, J. M.
1991
Some remarks on the smoothness of inertial manifolds. Zbl 0723.58033
Demengel, F.; Ghidaglia, J. M.
1991
Discrétisation en temps et variétés inertielles pour des équations d’évolution aux dérivées partielles non linéaires. (Time-discretization and initial manifolds for nonlinear evolution partial differential equations). Zbl 0666.35049
Demengel, Françoise; Ghidaglia, Jean-Michel
1988
Comportement de dimension finie pour les équations de Schrödinger non linéaires faiblement amorties. (Finite dimensional behavior of the nonlinear weakly damped Schrödinger equations). Zbl 0638.35020
Ghidaglia, Jean-Michel
1987
On rotational effects in the modulations of weakly nonlinear water waves over finite depth. Zbl 0861.76032
Colin, T.; Dias, F.; Ghidaglia, J.-M.
1995
Violent flows in aqueous foams. I: Physical and numerical models. Zbl 1258.76163
Faure, Sylvain; Ghidaglia, Jean-Michel
2011
Footbridges finite volumes – finite elements. (Passerelles volumes finis – éléments finis.) Zbl 0933.65138
Ghidaglia, Jean-Michel; Pascal, Frédéric
1999
Explicit upper and lower bounds on the number of degrees of freedom for damped and driven cubic Schrödinger equations. Zbl 0688.35084
Ghidaglia, J. M.
1989
Time-discretization and inertial manifolds. Zbl 0682.65076
Demengel, F.; Ghidaglia, J. M.
1989
Footbridge between finite volumes and finite elements with applications to CFD. Zbl 0996.76063
Pascal, Frédéric; Ghiadaglia, Jean-Michel
2001
A boundary value problem for the Korteweg-de Vries equation on a bounded interval. (Un problème aux limites pour l’équation de Korteweg-de Vries sur un intervalle borné.) Zbl 1012.35072
Colin, T.; Ghidaglia, J.-M.
1997
A finite volume implicit method based on characteristic flux for solving hyperbolic systems of conservation laws. Zbl 0972.35068
Ghidaglia, Jean-Michel; Kumbaro, Anela; Le Coq, Gérard; Tajchman, Marc
1997
Nematics. Mathematical and physical aspects. Proceedings of the NATO advanced research workshop on defects, singularities and patterns in nematic liquid crystals: mathematical and physical aspects, Orsay, France, May 28-June 1, 1990. Zbl 0722.00043
1991
Error estimate for the upwind finite volume method for the nonlinear scalar conservation law. Zbl 1227.65078
Bouche, Daniel; Ghidaglia, Jean-Michel; Pascal, Frédéric P.
2011
Theoretical analysis of the upwind finite volume scheme on the counter-example of Peterson. Zbl 1213.65123
Bouche, Daniel; Ghidaglia, Jean-Michel; Pascal, Frédéric P.
2010
An optimal error estimate for upwind finite volume methods for nonlinear hyperbolic conservation laws. Zbl 1243.65110
Bouche, Daniel; Ghidaglia, Jean-Michel; Pascal, Frédéric P.
2011
A multi-dimensional finite volume cell-centered direct ALE solver for hydrodynamics. Zbl 1373.76123
Clair, G.; Ghidaglia, J.-M.; Perlat, J.-P.
2016
Renormalization of the numerical diffusion for an upwind finite volume method. Application to the simulation of Kelvin-Helmholtz instability. Zbl 1374.76128
Dauvergne, Frédéric; Ghidaglia, Jean-Michel; Pascal, Frédéric; Rovarch, Jean-Michel
2008
Accurate state variables for fluid flow simulation using quicksteam and quickmethane. Zbl 1408.76383
Labourdette, C.; Ghidaglia, J.-M.; Redford, J. A.; Faure, S.
2017
Regularity for solutions to the equation of surfaces of prescribed mean curvature using the coarea formula. Zbl 0947.35060
Bethuel, F.; Ghidaglia, J. M.
1998
Weak convergence and deterministic approach to turbulent diffusion. Zbl 0967.35112
Bardos, Claude; Ghidaglia, Jean-Michel; Kamvissis, Spyridon
2000
Numerical computation of 3D two phase flow by finite volumes methods using flux schemes. Zbl 1052.65524
Ghidaglia, J.-M.
1999
Sur quelques inégalités fonctionnelles. (On some functional inequalities). Zbl 0615.35006
Ghidaglia, Jean-Michel; Marion, Martine; Temam, Roger
1987
Dimension of the universal attractor describing the periodically driven sine-Gordon equations. Zbl 0637.58017
Ghidaglia, Jean-Michel; Temam, Roger
1987
Sur le problème de Cauchy pour les équations de Davey-Stewartson. (On the Cauchy problem for the Davey-Stewardson equations). Zbl 0656.76012
Ghidaglia, Jean-Michel; Saut, Jean-Claude
1989
Multidimensional corrections to cell-centered finite volume methods for Maxwell equations. Zbl 1012.78515
Bidégaray, B.; Ghidaglia, J.-M.
2003
Modeling and simulation of thick sprays through coupling of a finite volume Euler equation solver and a particle method for a disperse phase. Zbl 1264.82132
Benjelloun, S.; Desvillettes, L.; Ghidaglia, J. M.; Nielsen, K.
2012
Periodic dynamical system with application to sine-Gordon equations: Estimates on the fractal dimension of the universal attractor. Zbl 0688.58027
Ghidaglia, Jean-Michel; Temam, Roger
1989
Generalized Lieb-Thirring inequalities and the dimension of attractors associated to the Ginzburg-Landau p.d.e. Zbl 0705.35108
Ghidaglia, J.-M.
1988
Lower bound on the dimension of the attractor for the Navier-Stokes equations in space dimensions 3. Zbl 0734.76016
Ghidaglia, Jean-Michel; Temam, Roger
1991
An Eulerian finite volume solver for multi-material fluid flows with cylindrical symmetry. Zbl 1290.76079
Bernard-Champmartin, Aude; Braeunig, Jean-Philippe; Ghidaglia, Jean-Michel
2013
An optimal a priori error analysis of the finite volume method for linear convection problems. Zbl 1374.76116
Bouche, Daniel; Ghidaglia, Jean-Michel; Pascal, Frédéric
2005
Violent flows in aqueous foam. II: Simulation platform and results. Zbl 1408.76517
D’alesio, Silvia; Dias, Frédéric; Faure, Sylvain; Ghidaglia, Jean-Michel; Labourdette, Christophe; Pougeard-Dulimbert, Thierry; Sollier, Arnaud
2015
Numerical simulation of wave impacts with interfacial phase change: an isothermal averaged model. Zbl 1408.76050
Ancellin, Matthieu; Brosset, Laurent; Ghidaglia, Jean-Michel
2018
Regularity of solutions of certain elliptic equations in dimension two and the co-area formula. (Régularité des solutions de certaines équations elliptiques en dimension deux et formule de la co-aire.) Zbl 0812.35037
Bethuel, Fabrice; Ghidaglia, Jean-Michel
1993
Weak limits of solutions to the steady incompressible two-dimensional Euler equation in a bounded domain. Zbl 0808.76014
Bethuel, Fabrice; Ghidaglia, Jean-Michel
1994
Flux boundary conditions for hyperbolic systems of conservations laws in the finite volume framework. Zbl 1062.65084
Ghidaglia, Jean-Michel; Pascal, Frédéric
2002
A finite volume solver for radiation hydrodynamics in the non equilibrium diffusion limit. Zbl 1246.76072
Chauveheid, D.; Ghidaglia, J.-M.; Peybernes, M.
2011
Equations aux dérivées partielles non linéaires dissipatives et systèmes dynamiques. (Dissipative nonlinear partial differential equations and dynamical systems). Zbl 0645.35005
Ghidaglia, Jean-Michel; Saut, Jean-Claude
1988
Propriétés des attracteurs associés à des équations hyperboliques non linéaires amorties. (Properties of the attractors associated to damped nonlinear hyperbolic equations). Zbl 0589.58013
Ghidaglia, Jean-Michel; Temam, Roger
1985
Upper bounds on the Lyapunov exponents for dissipative perturbations of infinite dimensional Hamiltonian systems. Zbl 0699.70020
Ghidaglia, Jean-Michel
1989
Modelling of an homogeneous equilibrium mixture model (HEM). Zbl 1292.76068
Bernard-Champmartin, A.; Poujade, O.; Mathiaud, J.; Ghidaglia, J.-M.
2014
Dealing with more than two materials in the FVCF-ENIP method. Zbl 1408.76375
Blais, Bruno; Braeunig, Jean-Philippe; Chauveheid, Daniel; Ghidaglia, Jean-Michel; Loubère, Raphaël
2013
A totally Eulerian finite volume solver for multi-material fluid flows. III: The low Mach number case. Zbl 1408.76376
Braeunig, Jean-Philippe; Chauveheid, Daniel; Ghidaglia, Jean-Michel
2013
A hyperbolic model of nonequilibrium phase change at a sharp liquid-vapor interface. Zbl 1407.82033
Ancellin, Matthieu; Brosset, Laurent; Ghidaglia, Jean-Michel
2018
Numerical simulation of wave impacts with interfacial phase change: an interface reconstruction scheme. Zbl 1473.76062
Ancellin, Matthieu; Brosset, Laurent; Ghidaglia, Jean-Michel
2019
Numerical simulation of wave impacts with interfacial phase change: an interface reconstruction scheme. Zbl 1473.76062
Ancellin, Matthieu; Brosset, Laurent; Ghidaglia, Jean-Michel
2019
Slamming: recent progress in the evaluation of impact pressures. Zbl 1384.76046
Dias, Frédéric; Ghidaglia, Jean-Michel
2018
Numerical simulation of wave impacts with interfacial phase change: an isothermal averaged model. Zbl 1408.76050
Ancellin, Matthieu; Brosset, Laurent; Ghidaglia, Jean-Michel
2018
A hyperbolic model of nonequilibrium phase change at a sharp liquid-vapor interface. Zbl 1407.82033
Ancellin, Matthieu; Brosset, Laurent; Ghidaglia, Jean-Michel
2018
Accurate state variables for fluid flow simulation using quicksteam and quickmethane. Zbl 1408.76383
Labourdette, C.; Ghidaglia, J.-M.; Redford, J. A.; Faure, S.
2017
A multi-dimensional finite volume cell-centered direct ALE solver for hydrodynamics. Zbl 1373.76123
Clair, G.; Ghidaglia, J.-M.; Perlat, J.-P.
2016
Violent flows in aqueous foam. II: Simulation platform and results. Zbl 1408.76517
D&rsquo;alesio, Silvia; Dias, Frédéric; Faure, Sylvain; Ghidaglia, Jean-Michel; Labourdette, Christophe; Pougeard-Dulimbert, Thierry; Sollier, Arnaud
2015
Modelling of an homogeneous equilibrium mixture model (HEM). Zbl 1292.76068
Bernard-Champmartin, A.; Poujade, O.; Mathiaud, J.; Ghidaglia, J.-M.
2014
An Eulerian finite volume solver for multi-material fluid flows with cylindrical symmetry. Zbl 1290.76079
Bernard-Champmartin, Aude; Braeunig, Jean-Philippe; Ghidaglia, Jean-Michel
2013
Dealing with more than two materials in the FVCF-ENIP method. Zbl 1408.76375
Blais, Bruno; Braeunig, Jean-Philippe; Chauveheid, Daniel; Ghidaglia, Jean-Michel; Loubère, Raphaël
2013
A totally Eulerian finite volume solver for multi-material fluid flows. III: The low Mach number case. Zbl 1408.76376
Braeunig, Jean-Philippe; Chauveheid, Daniel; Ghidaglia, Jean-Michel
2013
A totally Eulerian finite volume solver for multi-material fluid flows: enhanced natural interface positioning (ENIP). Zbl 1258.76116
Loubère, Raphaël; Braeunig, Jean-Philippe; Ghidaglia, Jean-Michel
2012
Modeling and simulation of thick sprays through coupling of a finite volume Euler equation solver and a particle method for a disperse phase. Zbl 1264.82132
Benjelloun, S.; Desvillettes, L.; Ghidaglia, J. M.; Nielsen, K.
2012
Violent flows in aqueous foams. I: Physical and numerical models. Zbl 1258.76163
Faure, Sylvain; Ghidaglia, Jean-Michel
2011
Error estimate for the upwind finite volume method for the nonlinear scalar conservation law. Zbl 1227.65078
Bouche, Daniel; Ghidaglia, Jean-Michel; Pascal, Frédéric P.
2011
An optimal error estimate for upwind finite volume methods for nonlinear hyperbolic conservation laws. Zbl 1243.65110
Bouche, Daniel; Ghidaglia, Jean-Michel; Pascal, Frédéric P.
2011
A finite volume solver for radiation hydrodynamics in the non equilibrium diffusion limit. Zbl 1246.76072
Chauveheid, D.; Ghidaglia, J.-M.; Peybernes, M.
2011
Global weak solutions to a generic two-fluid model. Zbl 1193.35146
Bresch, D.; Desjardins, B.; Ghidaglia, J.-M.; Grenier, E.
2010
A two-fluid model for violent aerated flows. Zbl 1242.76329
Dias, Frédéric; Dutykh, Denys; Ghidaglia, Jean-Michel
2010
Theoretical analysis of the upwind finite volume scheme on the counter-example of Peterson. Zbl 1213.65123
Bouche, Daniel; Ghidaglia, Jean-Michel; Pascal, Frédéric P.
2010
A totally Eulerian finite volume solver for multi-material fluid flows. Zbl 1167.76342
Braeunig, J.-P.; Desjardins, B.; Ghidaglia, J.-M.
2009
Renormalization of the numerical diffusion for an upwind finite volume method. Application to the simulation of Kelvin-Helmholtz instability. Zbl 1374.76128
Dauvergne, Frédéric; Ghidaglia, Jean-Michel; Pascal, Frédéric; Rovarch, Jean-Michel
2008
Error estimate and the geometric corrector for the upwind finite volume method applied to the linear advection equation. Zbl 1094.65089
Bouche, Daniel; Ghidaglia, Jean-Michel; Pascal, Frédéric
2005
The normal flux method at the boundary for multidimensional finite volume approximations in CFD. Zbl 1060.76076
Ghidaglia, Jean-Michel; Pascal, Frédéric
2005
An optimal a priori error analysis of the finite volume method for linear convection problems. Zbl 1374.76116
Bouche, Daniel; Ghidaglia, Jean-Michel; Pascal, Frédéric
2005
Multidimensional corrections to cell-centered finite volume methods for Maxwell equations. Zbl 1012.78515
Bidégaray, B.; Ghidaglia, J.-M.
2003
Flux boundary conditions for hyperbolic systems of conservations laws in the finite volume framework. Zbl 1062.65084
Ghidaglia, Jean-Michel; Pascal, Frédéric
2002
Computation of turbulent flow past an array of cylinders using a spectral method with Brinkman penalization. Zbl 1020.76037
Kevlahan, Nicholas K.-R.; Ghidaglia, Jean-Michel
2001
On the numerical solution to two-fluid models via a cell-centered finite volume method. Zbl 1059.76041
Ghidaglia, Jean-Michel; Kumbaro, Anela; Le Coq, Gérard
2001
An initial-boundary value problem for the Korteweg-de Vries equation posed on a finite interval. Zbl 1022.35055
Colin, Thierry; Ghidaglia, Jean-Michel
2001
Footbridge between finite volumes and finite elements with applications to CFD. Zbl 0996.76063
Pascal, Frédéric; Ghiadaglia, Jean-Michel
2001
Weak convergence and deterministic approach to turbulent diffusion. Zbl 0967.35112
Bardos, Claude; Ghidaglia, Jean-Michel; Kamvissis, Spyridon
2000
Footbridges finite volumes – finite elements. (Passerelles volumes finis – éléments finis.) Zbl 0933.65138
Ghidaglia, Jean-Michel; Pascal, Frédéric
1999
Numerical computation of 3D two phase flow by finite volumes methods using flux schemes. Zbl 1052.65524
Ghidaglia, J.-M.
1999
Regularity for solutions to the equation of surfaces of prescribed mean curvature using the coarea formula. Zbl 0947.35060
Bethuel, F.; Ghidaglia, J. M.
1998
A mixed initial-boundary-value problem for the Korteweg-de Vries equation on a bounded interval. (Un problème mixte pour l’équation de Korteweg-de Vries sur un intervalle borné.) Zbl 0879.35134
Colin, Thierry; Ghidaglia, Jean-Michel
1997
Minimizing Oseen-Frank energy for nematic liquid crystals: Algorithms and numerical results. Zbl 0911.35007
Alouges, F.; Ghidaglia, J. M.
1997
A boundary value problem for the Korteweg-de Vries equation on a bounded interval. (Un problème aux limites pour l’équation de Korteweg-de Vries sur un intervalle borné.) Zbl 1012.35072
Colin, T.; Ghidaglia, J.-M.
1997
A finite volume implicit method based on characteristic flux for solving hyperbolic systems of conservation laws. Zbl 0972.35068
Ghidaglia, Jean-Michel; Kumbaro, Anela; Le Coq, Gérard; Tajchman, Marc
1997
A finite volume method with characteristic flow for the numerical solution of hyperbolic systems of conservation laws. (Une méthode “volumes finis” à flux caractéristiques pour la résolution numérique des systèmes hyperboliques de lois de conservation.) Zbl 0849.65076
Ghidaglia, Jean-Michel; Kumbaro, Anela; Le Coq, Gérard
1996
Nonexistence of travelling wave solutions to nonelliptic nonlinear Schrödinger equations. Zbl 0848.35123
Ghidaglia, J. M.; Saut, J. C.
1996
On rotational effects in the modulations of weakly nonlinear water waves over finite depth. Zbl 0861.76032
Colin, T.; Dias, F.; Ghidaglia, J.-M.
1995
A note on the strong convergence towards attractors of damped forced KdV equations. Zbl 0805.35114
Ghidaglia, Jean-Michel
1994
Weak limits of solutions to the steady incompressible two-dimensional Euler equation in a bounded domain. Zbl 0808.76014
Bethuel, Fabrice; Ghidaglia, Jean-Michel
1994
Improved regularity of solutions to elliptic equations involving Jacobians and applications. Zbl 0831.35025
Bethuel, F.; Ghidaglia, J.-M.
1993
Nonelliptic Schrödinger equations. Zbl 0808.35135
Ghidaglia, Jean-Michel; Saut, Jean-Claude
1993
Regularity of solutions of certain elliptic equations in dimension two and the co-area formula. (Régularité des solutions de certaines équations elliptiques en dimension deux et formule de la co-aire.) Zbl 0812.35037
Bethuel, Fabrice; Ghidaglia, Jean-Michel
1993
Heat flows and relaxed energies for harmonic maps. Zbl 0795.35053
Bethuel, Fabrice; Coron, Jean-Michel; Ghidaglia, Jean-Michel; Soyeur, Alain
1992
Longtime behaviour of strongly damped wave equations, global attractors and their dimension. Zbl 0735.35015
Ghidaglia, J. M.; Marzocchi, A.
1991
Inertial manifolds for partial differential evolution equations under time-discretization: Existence, convergence, and applications. Zbl 0726.35056
Demengel, Françoise; Ghidaglia, Jean-Michel
1991
Exact decay estimates for solutions to semilinear parabolic equations. Zbl 0724.35015
Ghidaglia, J. M.
1991
Some remarks on the smoothness of inertial manifolds. Zbl 0723.58033
Demengel, F.; Ghidaglia, J. M.
1991
Nematics. Mathematical and physical aspects. Proceedings of the NATO advanced research workshop on defects, singularities and patterns in nematic liquid crystals: mathematical and physical aspects, Orsay, France, May 28-June 1, 1990. Zbl 0722.00043
1991
Lower bound on the dimension of the attractor for the Navier-Stokes equations in space dimensions 3. Zbl 0734.76016
Ghidaglia, Jean-Michel; Temam, Roger
1991
On the initial value problem for the Davey-Stewartson systems. Zbl 0727.35111
Ghidaglia, Jean-Michel; Saut, Jean-Claude
1990
Explosion en temps fini pour le flot des applications harmoniques. (Finite-time blow up for the heat flow of harmonic mappings). Zbl 0679.58017
Coron, Jean-Michel; Ghidaglia, Jean-Michel
1989
Explicit upper and lower bounds on the number of degrees of freedom for damped and driven cubic Schrödinger equations. Zbl 0688.35084
Ghidaglia, J. M.
1989
Time-discretization and inertial manifolds. Zbl 0682.65076
Demengel, F.; Ghidaglia, J. M.
1989
Sur le problème de Cauchy pour les équations de Davey-Stewartson. (On the Cauchy problem for the Davey-Stewardson equations). Zbl 0656.76012
Ghidaglia, Jean-Michel; Saut, Jean-Claude
1989
Periodic dynamical system with application to sine-Gordon equations: Estimates on the fractal dimension of the universal attractor. Zbl 0688.58027
Ghidaglia, Jean-Michel; Temam, Roger
1989
Upper bounds on the Lyapunov exponents for dissipative perturbations of infinite dimensional Hamiltonian systems. Zbl 0699.70020
Ghidaglia, Jean-Michel
1989
Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time. Zbl 0668.35084
Ghidaglia, Jean-Michel
1988
Finite dimensional behavior for weakly damped driven Schrödinger equations. Zbl 0659.35019
Ghidaglia, Jean-Michel
1988
Attractors for the penalized Navier-Stokes equations. Zbl 0696.35131
Brefort, B.; Ghidaglia, J. M.; Temam, R.
1988
Generalization of the Sobolev-Lieb-Thirring inequalities and applications to the dimension of attractors. Zbl 0745.46037
Ghidaglia, Jean-Michel; Marion, Martine; Temam, Roger
1988
Long time behavior for partly dissipative equations: The slightly compressible 2D-Navier-Stokes equations. Zbl 0657.76029
Ghidaglia, J. M.; Temam, R.
1988
Discrétisation en temps et variétés inertielles pour des équations d’évolution aux dérivées partielles non linéaires. (Time-discretization and initial manifolds for nonlinear evolution partial differential equations). Zbl 0666.35049
Demengel, Françoise; Ghidaglia, Jean-Michel
1988
Generalized Lieb-Thirring inequalities and the dimension of attractors associated to the Ginzburg-Landau p.d.e. Zbl 0705.35108
Ghidaglia, J.-M.
1988
Equations aux dérivées partielles non linéaires dissipatives et systèmes dynamiques. (Dissipative nonlinear partial differential equations and dynamical systems). Zbl 0645.35005
Ghidaglia, Jean-Michel; Saut, Jean-Claude
1988
Attractors for damped nonlinear hyperbolic equations. Zbl 0572.35071
Ghidaglia, J. M.; Temam, R.
1987
Dimension of the attractors associated to the Ginzburg-Landau partial differential equation. Zbl 0623.58049
Ghidaglia, J. M.; Héron, B.
1987
Regularity of the solutions of second order evolution equations and their attractors. Zbl 0666.35062
Ghidaglia, J. M.; Temam, R.
1987
Comportement de dimension finie pour les équations de Schrödinger non linéaires faiblement amorties. (Finite dimensional behavior of the nonlinear weakly damped Schrödinger equations). Zbl 0638.35020
Ghidaglia, Jean-Michel
1987
Sur quelques inégalités fonctionnelles. (On some functional inequalities). Zbl 0615.35006
Ghidaglia, Jean-Michel; Marion, Martine; Temam, Roger
1987
Dimension of the universal attractor describing the periodically driven sine-Gordon equations. Zbl 0637.58017
Ghidaglia, Jean-Michel; Temam, Roger
1987
Some backward uniqueness results. Zbl 0622.35029
Ghidaglia, Jean-Michel
1986
On the fractal dimension of attractors for viscous incompressible fluid flows. Zbl 0626.35078
Ghidaglia, J.-M.
1986
Long time behaviour of solutions of abstract inequalities. Applications to thermohydraulic and magnetohydrodynamic equations. Zbl 0549.35102
Ghidaglia, Jean-Michel
1986
Propriétés des attracteurs associés à des équations hyperboliques non linéaires amorties. (Properties of the attractors associated to damped nonlinear hyperbolic equations). Zbl 0589.58013
Ghidaglia, Jean-Michel; Temam, Roger
1985
Régularité des solutions de certains problèmes aux limites linéaires liés aux équations d’Euler. (Regularity of the solutions of certain linear boundary value problems associated with the Euler equations). Zbl 0602.35093
Ghidaglia, J. M.
1984
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### Cited by 1,166 Authors

 35 Ghidaglia, Jean-Michel 32 Guo, Boling 16 Zhou, Shengfan 14 Goubet, Olivier 13 He, Yinnian 11 Dutykh, Denys 11 Wang, Bixiang 11 Wen, Huanyao 10 Saut, Jean-Claude 10 Temam, Roger Meyer 10 Titi, Edriss Saleh 10 Yang, Zhijian 10 Zhang, Bingyu 9 Alouges, François 9 Gao, Hongjun 9 Li, Jian 9 Tian, Lixin 9 Zelik, Sergey V. 8 Dai, Zhengde 8 Eden, Alp 8 Evje, Steinar 8 Li, Yongsheng 8 Lorin, Emmanuel 8 Pata, Vittorino 8 Raugel, Geneviève 8 Schneider, Kai 8 Yao, Lei 7 Braeunig, Jean-Philippe 7 Bresch, Didier 7 Chepyzhov, Vladimir V. 7 Dias, Frédéric 7 Duan, Jinqiao 7 Hale, Jack Kenneth 7 Ilyin, Alexei A. 7 Karachalios, Nikos I. 7 Oskolkov, Anatolii Petrovich 6 Chueshov, Igor’ Dmitrievich 6 De Vuyst, Florian 6 Jolly, Michael S. 6 Kalantarov, Varga K. 6 Khanmamedov, Azer Kh. 6 Lar’kin, Nikolaj Andreevich 6 Lasiecka, Irena 5 Bona, Jerry Lloyd 5 Bu, Charles 5 Dlotko, Tomasz W. 5 Foiaş, Ciprian Ilie 5 Kukavica, Igor 5 Le Coq, Gérard 5 Li, Donglong 5 Miranville, Alain M. 5 Misawa, Masashi 5 Qin, Yuming 5 Rosa, Ricardo M. S. 5 Sun, Chunyou 5 Sun, Shuming 5 Wang, Zhaojuan 5 Yin, Zhaoyang 5 Zhong, Chengkui 4 Abounouh, Mostafa 4 Bezerra, Flank David Morais 4 Biler, Piotr 4 Bouche, Daniel P. 4 Caldiroli, Paolo 4 Cholewa, Jan W. 4 Cipolatti, Rolci A. 4 Clercx, Herman J. H. 4 Day, Stuart 4 Giorgi, Claudio 4 Guerrero, Sergio 4 Hu, Qiaoyi 4 Li, Hongyan 4 Li, Kaitai 4 Liu, Zengrong 4 Lu, Kening 4 Miyaji, Tomoyuki 4 Pascal, Frédéric P. 4 Ponce, Gustavo 4 Rodríguez-Bernal, Aníbal 4 Tsutsumi, Yoshio 4 Zhang, Ruifeng 3 Al Moatassime, Hassan 3 Baraket, Sami 3 Benkhaldoun, Fayssal 3 Bethuel, Fabrice 3 Bonfoh, Ahmed S. 3 Brzeźniak, Zdzisław 3 Chang, Qianshun 3 Chauveheid, Daniel 3 Chen, Yunmei 3 Chen, Zhangxin 3 Chiavassa, Guillaume 3 Chrifi, Abderrazak 3 Constantin, Peter 3 Cung The Anh 3 Delarue, François 3 Demengel, Françoise 3 Desjardins, Benoît 3 Fang, Shaomei 3 Farge, Marie ...and 1,066 more Authors
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### Cited in 215 Serials

 58 Journal of Differential Equations 49 Journal of Mathematical Analysis and Applications 31 Journal of Computational Physics 30 Physica D 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 Journal of Mathematical Physics 24 European Journal of Mechanics. B. Fluids 24 Nonlinear Analysis. Theory, Methods & Applications 23 Computers and Fluids 19 Applicable Analysis 19 Applied Mathematics and Computation 15 Acta Mathematicae Applicatae Sinica. English Series 14 Journal of Dynamics and Differential Equations 14 Calculus of Variations and Partial Differential Equations 14 Communications on Pure and Applied Analysis 13 Archive for Rational Mechanics and Analysis 13 Applied Numerical Mathematics 13 Nonlinear Analysis. Real World Applications 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Applied Mathematics and Mechanics. (English Edition) 10 Communications in Partial Differential Equations 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Journal of Mathematical Sciences (New York) 10 Discrete and Continuous Dynamical Systems. Series B 9 Mathematical Methods in the Applied Sciences 9 Applied Mathematics Letters 8 Journal of Fluid Mechanics 8 Applied Mathematics and Optimization 8 Transactions of the American Mathematical Society 8 NoDEA. Nonlinear Differential Equations and Applications 8 Acta Mathematica Sinica. English Series 8 Communications in Nonlinear Science and Numerical Simulation 7 Communications in Mathematical Physics 7 Computer Methods in Applied Mechanics and Engineering 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Numerical Functional Analysis and Optimization 7 RAIRO. Modélisation Mathématique et Analyse Numérique 6 Computers & Mathematics with Applications 6 Mathematics and Computers in Simulation 6 Proceedings of the American Mathematical Society 6 Discrete and Continuous Dynamical Systems 6 Abstract and Applied Analysis 6 Journal of Evolution Equations 6 Boundary Value Problems 6 Discrete and Continuous Dynamical Systems. Series S 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal of Functional Analysis 5 Numerische Mathematik 5 Acta Applicandae Mathematicae 5 Numerical Methods for Partial Differential Equations 5 Annales de l’Institut Henri Poincaré. Physique Théorique 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Journal of Applied Analysis and Computation 4 Mathematical Notes 4 Nonlinearity 4 Chaos, Solitons and Fractals 4 Manuscripta Mathematica 4 Mathematical and Computer Modelling 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Applied Mathematics. Series B (English Edition) 4 Journal of Mathematical Fluid Mechanics 4 Communications in Contemporary Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Inventiones Mathematicae 3 Journal of Computational and Applied Mathematics 3 Mathematische Zeitschrift 3 Studies in Applied Mathematics 3 Science in China. Series A 3 Applied Mathematical Modelling 3 SIAM Journal on Mathematical Analysis 3 Bulletin of the American Mathematical Society. New Series 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Nonlinear Science 3 Journal of the European Mathematical Society (JEMS) 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Advances in Difference Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Frontiers of Mathematics in China 3 Advances in Applied Mathematics and Mechanics 3 Mathematical Control and Related Fields 3 Annales Henri Lebesgue 2 International Journal of Engineering Science 2 Inverse Problems 2 Journal d’Analyse Mathématique 2 Journal of Engineering Mathematics 2 Theoretical and Mathematical Physics 2 Mathematics of Computation 2 The Annals of Probability 2 Czechoslovak Mathematical Journal 2 Mathematische Annalen 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Quarterly of Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Systems & Control Letters 2 Asymptotic Analysis 2 Journal of Scientific Computing 2 The Journal of Geometric Analysis 2 Applications of Mathematics 2 International Journal of Computer Mathematics ...and 115 more Serials
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### Cited in 35 Fields

 741 Partial differential equations (35-XX) 298 Fluid mechanics (76-XX) 195 Dynamical systems and ergodic theory (37-XX) 149 Numerical analysis (65-XX) 57 Global analysis, analysis on manifolds (58-XX) 42 Ordinary differential equations (34-XX) 35 Mechanics of deformable solids (74-XX) 33 Differential geometry (53-XX) 28 Probability theory and stochastic processes (60-XX) 26 Operator theory (47-XX) 23 Systems theory; control (93-XX) 22 Statistical mechanics, structure of matter (82-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 17 Geophysics (86-XX) 15 Optics, electromagnetic theory (78-XX) 13 Quantum theory (81-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Functional analysis (46-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Real functions (26-XX) 6 Measure and integration (28-XX) 5 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 4 Mechanics of particles and systems (70-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX)