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Benzoni-Gavage, Sylvie

Author ID: benzoni-gavage.sylvie Recent zbMATH articles by "Benzoni-Gavage, Sylvie"
Published as: Benzoni-Gavage, Sylvie; Benzoni-Gavage, S.; Benzoni, Sylvie
External Links: MGP · Wikidata · GND · IdRef · theses.fr

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 734 times in 507 Documents Cited by Year
Multi-dimensional hyperbolic partial differential equations. First-order systems and applications. Zbl 1113.35001
Benzoni-Gavage, Sylvie; Serre, Denis
212
2007
On the well-posedness for the Euler-Korteweg model in several space dimensions. Zbl 1125.76060
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.
67
2007
An \(n\)-populations model for traffic flow. Zbl 1143.82323
Benzoni-Gavage, Sylvie; Colombo, Rinaldo M.
53
2003
Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.; Jamet, D.
35
2005
Stability of multi-dimensional phase transitions in a van der Waals fluid. Zbl 0928.76015
Benzoni-Gavage, S.
31
1998
Generic types and transitions in hyperbolic initial-boundary-value problems. Zbl 1029.35165
Benzoni-Gavage, Sylvie; Rousset, Frédéric; Serre, Denis
28
2002
Well-posedness of one-dimensional Korteweg models. Zbl 1114.76058
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane
27
2006
Stability of subsonic planar phase boundaries in a van der Waals fluid. Zbl 0980.76023
Benzoni-Gavage, S.
27
1999
Alternate Evans functions and viscous shock waves. Zbl 0985.34075
Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin
26
2001
Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids. Zbl 1308.35021
Benzoni-Gavage, S.; Noble, P.; Rodrigues, L. M.
22
2014
Planar traveling waves in capillary fluids. Zbl 1289.76012
Benzoni-Gavage, Sylvie
19
2013
Local well-posedness of nonlocal Burgers equations. Zbl 1240.35446
Benzoni-Gavage, Sylvie
18
2009
Linear stability of propagating phase boundaries in capillary fluids. Zbl 1002.76031
Benzoni-Gavage, Sylvie
17
2001
Co-periodic stability of periodic waves in some Hamiltonian PDEs. Zbl 1362.35037
Benzoni-Gavage, S.; Mietka, C.; Rodrigues, L. M.
16
2016
Nonlinear stability of semidiscrete shock waves. Zbl 1066.65093
Benzoni-Gavage, S.; Huot, P.; Rousset, F.
13
2003
Long wave asymptotics for the Euler-Korteweg system. Zbl 1391.35323
Benzoni-Gavage, Sylvie; Chiron, David
11
2018
Spectral transverse instability of solitary waves in Korteweg fluids. Zbl 1180.35451
Benzoni-Gavage, S.
11
2010
Effects of surface tension on the stability of dynamical liquid-vapor interfaces. Zbl 1081.76027
Benzoni-Gavage, S.; Freistühler, H.
9
2004
Weakly nonlinear surface waves and subsonic phase boundaries. Zbl 1186.76658
Benzoni-Gavage, S.; Rosini, M. D.
8
2009
Semi-discrete shock profiles for hyperbolic systems of conservation laws. Zbl 0934.65098
Benzoni-Gavage, S.
8
1998
Stability of semi-discrete shock profiles by means of an Evans function in infinite dimensions. Zbl 1001.35081
Benzoni-Gavage, Sylvie
8
2002
On the amplitude equations for weakly nonlinear surface waves. Zbl 1427.76037
Benzoni-Gavage, Sylvie; Coulombel, Jean-François
7
2012
Stability issues in the Euler-Korteweg model. Zbl 1119.76029
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane; Jamet, Didier
6
2007
Existence of semi-discrete shocks. Zbl 0997.35036
Benzoni-Gavage, Sylvie; Huot, Pierre
6
2002
Compensated compactness for a class of hyperbolic systems of \(p\geq 3\) conservation laws. (Compacité par compensation pour une classe de systèmes hyperboliques de \(p\geq 3\) lois de conservation.) Zbl 0834.35081
Benzoni-Gavage, Sylvie; Serre, Denis
6
1994
Measure valued solutions to conservation laws motivated by traffic modelling. Zbl 1149.35386
Benzoni-Gavage, Sylvie; Colombo, Rinaldo M.; Gwiazda, Piotr
5
2006
Ill-posedness of nonlocal Burgers equations. Zbl 1228.35174
Benzoni-Gavage, Sylvie; Coulombel, Jean-François; Tzvetkov, Nikolay
5
2011
Nonuniqueness of phase transitions near the Maxwell line. Zbl 0915.76095
Benzoni-Gavage, S.
5
1999
Transition to instability of planar viscous shock fronts: The refined stability condition. Zbl 1172.35060
Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin
4
2008
Modulated equations of Hamiltonian PDEs and dispersive shocks. Zbl 1457.35052
Benzoni-Gavage, Sylvie; Mietka, Colin; Rodrigues, Luis Miguel
4
2021
On a phase field model for solid-liquid phase transitions. Zbl 1247.80011
Benzoni-Gavage, Sylvie; Chupin, Laurent; Jamet, Didier; Vovelle, Julien
3
2012
Existence of solutions for a class of hyperbolic systems of \(p\) conservation laws \((p\geq 3)\). Zbl 0921.35102
Benzoni-Gavage, Sylvie; Serre, Denis
3
1993
Note on a paper by Robinet, Gressier, Casalis and Moschetta. Zbl 1152.76394
Coulombel, Jean-François; Benzoni-Gavage, Sylvie; Serre, Denis
3
2002
Compensated compactness for a class of hyperbolic systems of \(p\) conservation laws with \(p\geq 3\). Zbl 0834.35080
Benzoni-Gavage, Sylvie; Serre, Denis
3
1993
Stability of periodic waves in Hamiltonian PDEs of either long wavelength or small amplitude. Zbl 1450.35055
Benzoni-Gavage, S.; Mietka, C.; Rodrigues, L. M.
3
2020
On the stability of semi-discrete shock profiles by means of an Evans function in infinite dimension. (Sur la stabilité de profils de choc semi-discretes au moyen d’une fonction d’Evans en dimension infinie.) Zbl 0937.35181
Benzoni-Gavage, Sylvie
2
1999
Amplitude equations for weakly nonlinear surface waves in variational problems. Zbl 1366.76012
Benzoni-Gavage, Sylvie; Coulombel, Jean-François
2
2017
On a representation formula for B. Temple systems. Zbl 0865.35079
Benzoni-Gavage, S.
1
1996
Modulated equations of Hamiltonian PDEs and dispersive shocks. Zbl 1457.35052
Benzoni-Gavage, Sylvie; Mietka, Colin; Rodrigues, Luis Miguel
4
2021
Stability of periodic waves in Hamiltonian PDEs of either long wavelength or small amplitude. Zbl 1450.35055
Benzoni-Gavage, S.; Mietka, C.; Rodrigues, L. M.
3
2020
Long wave asymptotics for the Euler-Korteweg system. Zbl 1391.35323
Benzoni-Gavage, Sylvie; Chiron, David
11
2018
Amplitude equations for weakly nonlinear surface waves in variational problems. Zbl 1366.76012
Benzoni-Gavage, Sylvie; Coulombel, Jean-François
2
2017
Co-periodic stability of periodic waves in some Hamiltonian PDEs. Zbl 1362.35037
Benzoni-Gavage, S.; Mietka, C.; Rodrigues, L. M.
16
2016
Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids. Zbl 1308.35021
Benzoni-Gavage, S.; Noble, P.; Rodrigues, L. M.
22
2014
Planar traveling waves in capillary fluids. Zbl 1289.76012
Benzoni-Gavage, Sylvie
19
2013
On the amplitude equations for weakly nonlinear surface waves. Zbl 1427.76037
Benzoni-Gavage, Sylvie; Coulombel, Jean-François
7
2012
On a phase field model for solid-liquid phase transitions. Zbl 1247.80011
Benzoni-Gavage, Sylvie; Chupin, Laurent; Jamet, Didier; Vovelle, Julien
3
2012
Ill-posedness of nonlocal Burgers equations. Zbl 1228.35174
Benzoni-Gavage, Sylvie; Coulombel, Jean-François; Tzvetkov, Nikolay
5
2011
Spectral transverse instability of solitary waves in Korteweg fluids. Zbl 1180.35451
Benzoni-Gavage, S.
11
2010
Local well-posedness of nonlocal Burgers equations. Zbl 1240.35446
Benzoni-Gavage, Sylvie
18
2009
Weakly nonlinear surface waves and subsonic phase boundaries. Zbl 1186.76658
Benzoni-Gavage, S.; Rosini, M. D.
8
2009
Transition to instability of planar viscous shock fronts: The refined stability condition. Zbl 1172.35060
Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin
4
2008
Multi-dimensional hyperbolic partial differential equations. First-order systems and applications. Zbl 1113.35001
Benzoni-Gavage, Sylvie; Serre, Denis
212
2007
On the well-posedness for the Euler-Korteweg model in several space dimensions. Zbl 1125.76060
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.
67
2007
Stability issues in the Euler-Korteweg model. Zbl 1119.76029
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane; Jamet, Didier
6
2007
Well-posedness of one-dimensional Korteweg models. Zbl 1114.76058
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane
27
2006
Measure valued solutions to conservation laws motivated by traffic modelling. Zbl 1149.35386
Benzoni-Gavage, Sylvie; Colombo, Rinaldo M.; Gwiazda, Piotr
5
2006
Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.; Jamet, D.
35
2005
Effects of surface tension on the stability of dynamical liquid-vapor interfaces. Zbl 1081.76027
Benzoni-Gavage, S.; Freistühler, H.
9
2004
An \(n\)-populations model for traffic flow. Zbl 1143.82323
Benzoni-Gavage, Sylvie; Colombo, Rinaldo M.
53
2003
Nonlinear stability of semidiscrete shock waves. Zbl 1066.65093
Benzoni-Gavage, S.; Huot, P.; Rousset, F.
13
2003
Generic types and transitions in hyperbolic initial-boundary-value problems. Zbl 1029.35165
Benzoni-Gavage, Sylvie; Rousset, Frédéric; Serre, Denis
28
2002
Stability of semi-discrete shock profiles by means of an Evans function in infinite dimensions. Zbl 1001.35081
Benzoni-Gavage, Sylvie
8
2002
Existence of semi-discrete shocks. Zbl 0997.35036
Benzoni-Gavage, Sylvie; Huot, Pierre
6
2002
Note on a paper by Robinet, Gressier, Casalis and Moschetta. Zbl 1152.76394
Coulombel, Jean-François; Benzoni-Gavage, Sylvie; Serre, Denis
3
2002
Alternate Evans functions and viscous shock waves. Zbl 0985.34075
Benzoni-Gavage, Sylvie; Serre, Denis; Zumbrun, Kevin
26
2001
Linear stability of propagating phase boundaries in capillary fluids. Zbl 1002.76031
Benzoni-Gavage, Sylvie
17
2001
Stability of subsonic planar phase boundaries in a van der Waals fluid. Zbl 0980.76023
Benzoni-Gavage, S.
27
1999
Nonuniqueness of phase transitions near the Maxwell line. Zbl 0915.76095
Benzoni-Gavage, S.
5
1999
On the stability of semi-discrete shock profiles by means of an Evans function in infinite dimension. (Sur la stabilité de profils de choc semi-discretes au moyen d’une fonction d’Evans en dimension infinie.) Zbl 0937.35181
Benzoni-Gavage, Sylvie
2
1999
Stability of multi-dimensional phase transitions in a van der Waals fluid. Zbl 0928.76015
Benzoni-Gavage, S.
31
1998
Semi-discrete shock profiles for hyperbolic systems of conservation laws. Zbl 0934.65098
Benzoni-Gavage, S.
8
1998
On a representation formula for B. Temple systems. Zbl 0865.35079
Benzoni-Gavage, S.
1
1996
Compensated compactness for a class of hyperbolic systems of \(p\geq 3\) conservation laws. (Compacité par compensation pour une classe de systèmes hyperboliques de \(p\geq 3\) lois de conservation.) Zbl 0834.35081
Benzoni-Gavage, Sylvie; Serre, Denis
6
1994
Existence of solutions for a class of hyperbolic systems of \(p\) conservation laws \((p\geq 3)\). Zbl 0921.35102
Benzoni-Gavage, Sylvie; Serre, Denis
3
1993
Compensated compactness for a class of hyperbolic systems of \(p\) conservation laws with \(p\geq 3\). Zbl 0834.35080
Benzoni-Gavage, Sylvie; Serre, Denis
3
1993
all top 5

Cited by 568 Authors

20 Coulombel, Jean-François
18 Zumbrun, Kevin R.
15 Bürger, Raimund
13 Rodrigues, Luis Miguel
13 Secchi, Paolo
12 Audiard, Corentin
12 Morando, Alessandro
11 Benzoni-Gavage, Sylvie
11 Feireisl, Eduard
11 Freistühler, Heinrich
10 Trebeschi, Paola
9 Serre, Denis
8 Antonelli, Paolo
8 Danchin, Raphaël
8 Mai Duc Thanh
8 Noble, Pascal
8 Rohde, Christian
8 Temam, Roger Meyer
8 Trakhinin, Yuri L.
7 Benoit, Antoine
7 Bresch, Didier
7 Hupkes, Hermen Jan
7 Mulet, Pep
7 Zhang, Shuyi
6 Barker, Blake
6 Ducomet, Bernard
6 Huang, Aimin
6 Piccoli, Benedetto
6 Villada, Luis Miguel
6 Williams, Mark
5 Gavrilyuk, Sergey L.
5 Goatin, Paola
5 Guès, Olivier
5 Haspot, Boris
5 Johnson, Mathew A.
5 Mishra, Siddhartha
5 Plaza, Ramón G.
5 Spirito, Stefano
5 Vega, Carlos A.
5 Zhou, Yizhou
4 Blanc, Xavier
4 Chalons, Christophe
4 Chen, Robin Ming
4 Cristiani, Emiliano
4 Donat, Rosa
4 Humpherys, Jeffrey
4 Kotschote, Matthias
4 Lannes, David
4 Lattanzio, Corrado
4 LeFloch, Philippe Gerard
4 Lyng, Gregory Daniel
4 Marcati, Pierangelo
4 Nečasová, Šárka
4 Sandstede, Björn
4 Van Vleck, Erik S.
4 Yong, Wen-An
4 Yuan, Hairong
3 Berthelin, Florent
3 Bianchini, Roberta
3 Bianchini, Stefano
3 Bridges, Thomas J.
3 Chen, Gui-Qiang G.
3 Chiarello, Felisia Angela
3 Crin-Barat, Timothée
3 Desjardins, Benoît
3 Després, Bruno
3 Dumbser, Michael
3 Fang, Beixiang
3 Garavello, Mauro
3 Giesselmann, Jan
3 Giovangigli, Vincent
3 Godillon, Pauline
3 Goudon, Thierry
3 Hiep, Nguyen Huu
3 Hunter, John K.
3 Jenssen, Helge Kristian
3 Kabil, Buğra
3 Lerat, Alain
3 Lu, Yunguang
3 Métivier, Guy
3 Mietka, Colin
3 Natalini, Roberto
3 Romenskii, Evgenii I.
3 Rousset, Frédéric
3 Schnaubelt, Roland
3 Shyue, Keh-Ming
3 Spinolo, Laura V.
3 Spitz, Martin
3 Sun, Changzhen
3 Tzavaras, Athanasios E.
3 Vasseur, Alexis F.
3 Vila, Jean-Paul
3 Xiang, Wei
3 Xiao, Feng
3 Xu, Jiang
3 Yang, Xiongfeng
3 Yang, Zhao
3 Zheng, Hao
2 Aizenberg, Arkady M.
2 Angot, Philippe
...and 468 more Authors
all top 5

Cited in 161 Serials

31 Journal of Differential Equations
28 Archive for Rational Mechanics and Analysis
19 Journal of Hyperbolic Differential Equations
16 Journal of Computational Physics
14 SIAM Journal on Mathematical Analysis
12 Communications in Partial Differential Equations
10 Journal of Mathematical Analysis and Applications
10 Nonlinearity
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Physica D
9 Journal of Mathematical Fluid Mechanics
9 Communications on Pure and Applied Analysis
8 Quarterly of Applied Mathematics
8 Journal of Scientific Computing
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Journal of Dynamics and Differential Equations
7 Communications in Mathematical Physics
7 Mathematics of Computation
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Networks and Heterogeneous Media
5 Mathematical Methods in the Applied Sciences
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Advances in Mathematics
5 Applied Mathematics and Computation
5 Journal of Functional Analysis
5 Studies in Applied Mathematics
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Applied Mathematics Letters
5 Nonlinear Analysis. Real World Applications
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Annales de l’Institut Fourier
4 Indiana University Mathematics Journal
4 Numerical Methods for Partial Differential Equations
4 Journal of Nonlinear Science
4 Discrete and Continuous Dynamical Systems. Series B
4 Discrete and Continuous Dynamical Systems. Series S
3 Applicable Analysis
3 Wave Motion
3 Transactions of the American Mathematical Society
3 Zeitschrift für Analysis und ihre Anwendungen
3 Chinese Annals of Mathematics. Series B
3 Applied Mathematical Modelling
3 SIAM Journal on Applied Mathematics
3 Continuum Mechanics and Thermodynamics
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 SIAM Journal on Scientific Computing
3 Discrete and Continuous Dynamical Systems
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Confluentes Mathematici
3 Mathematics in Engineering
3 Annales Henri Lebesgue
3 Water Waves
2 Computers and Fluids
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Physics
2 Journal of the Mechanics and Physics of Solids
2 Physics Letters. A
2 Mathematische Annalen
2 Memoirs of the American Mathematical Society
2 Numerische Mathematik
2 Asymptotic Analysis
2 Calculus of Variations and Partial Differential Equations
2 Annales Mathématiques Blaise Pascal
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 SIAM Journal on Applied Dynamical Systems
2 Acta Numerica
2 International Journal of Differential Equations
2 Journal of Pseudo-Differential Operators and Applications
2 Journal de l’École Polytechnique – Mathématiques
1 International Journal of Modern Physics B
1 Classical and Quantum Gravity
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 General Relativity and Gravitation
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 Journal of Engineering Mathematics
1 Journal of Statistical Physics
1 Physica A
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Polonici Mathematici
1 Bulletin de la Société Mathématique de France
1 Calcolo
1 Commentarii Mathematici Helvetici
1 Dissertationes Mathematicae
1 Inventiones Mathematicae
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Meccanica
1 Osaka Journal of Mathematics
1 Ricerche di Matematica
1 SIAM Journal on Numerical Analysis
1 Advances in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Bulletin of the Iranian Mathematical Society
1 Applied Numerical Mathematics
...and 61 more Serials
all top 5

Cited in 37 Fields

424 Partial differential equations (35-XX)
243 Fluid mechanics (76-XX)
72 Numerical analysis (65-XX)
36 Operations research, mathematical programming (90-XX)
34 Mechanics of deformable solids (74-XX)
27 Dynamical systems and ergodic theory (37-XX)
25 Ordinary differential equations (34-XX)
20 Optics, electromagnetic theory (78-XX)
15 Statistical mechanics, structure of matter (82-XX)
11 Classical thermodynamics, heat transfer (80-XX)
8 Operator theory (47-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
7 Probability theory and stochastic processes (60-XX)
7 Geophysics (86-XX)
5 Real functions (26-XX)
5 Quantum theory (81-XX)
4 Relativity and gravitational theory (83-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Measure and integration (28-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
2 Field theory and polynomials (12-XX)
2 Difference and functional equations (39-XX)
2 Integral equations (45-XX)
2 Functional analysis (46-XX)
2 Mechanics of particles and systems (70-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 General topology (54-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Citations by Year

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