Sylvie Benzoni-Gavage

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Publications

The Maison Poincaré – a maths museum in France

Sylvie Benzoni-Gavage
European Mathematical Society Magazine, 2024, ⟨10.4171/MAG/189⟩
Article dans une revue hal-04798060 v1

Le dessous des cartes du rulpidon

Sylvie Benzoni-Gavage , Rémi Coulon
Pour la science, 2024
Article dans une revue hal-04797831 v1

Le Rulpidon

Sylvie Benzoni-Gavage
Images des Mathématiques, 2021
Article dans une revue hal-04798024 v1
Image document

Modulated equations of Hamiltonian PDEs and dispersive shocks

Sylvie Benzoni-Gavage , Colin Mietka , L. Miguel Rodrigues
Nonlinearity, 2021, 34 (1), pp.578-641. ⟨10.1088/1361-6544/abcb0a⟩
Article dans une revue hal-02365963 v2
Image document

Stability of periodic waves in Hamiltonian PDEs of either long wavelength or small amplitude

Sylvie Benzoni-Gavage , Colin Mietka , Luis Miguel Miguel Rodrigues
Indiana University Mathematics Journal, 2020, 69 (2), pp.545--619. ⟨10.1512/iumj.2020.69.7845⟩
Article dans une revue hal-01590731 v2
Image document

Long wave asymptotics for the Euler–Korteweg system

David Chiron , Sylvie Benzoni-Gavage
Revista Matemática Iberoamericana, 2018, 34 (1), pp.245-304. ⟨10.4171/RMI/985⟩
Article dans une revue hal-01221714 v1
Image document

Co-periodic stability of periodic waves in some Hamiltonian PDEs

Sylvie Benzoni-Gavage , Colin Mietka , Luis Miguel Miguel Rodrigues
Nonlinearity, 2016, 29 (11), pp.3241. ⟨10.1088/0951-7715/29/11/3241⟩
Article dans une revue hal-01147784 v1

Jump conditions and dynamic surface tension at permeable interfaces such as the inner core boundary

F. Chambat , S. Benzoni-Gavage , Y. Ricard
Comptes Rendus Géoscience, 2014, 346 (5-6), pp.110-118. ⟨10.1016/j.crte.2014.04.006⟩
Article dans une revue hal-02046716 v1
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Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids

Sylvie Benzoni-Gavage , Pascal Noble , Luis Miguel Miguel Rodrigues
Journal of Nonlinear Science, 2014, 24 (4), pp.58
Article dans une revue hal-00804222 v2
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Planar traveling waves in capillary fluids

Sylvie Benzoni-Gavage
Differential and integral equations, 2013, 26 (3-4), pp.433-478
Article dans une revue hal-00686048 v1
Image document

On a phase field model for solid-liquid phase transitions

Sylvie Benzoni-Gavage , Laurent Chupin , Didier Jamet , Julien Vovelle
Discrete and Continuous Dynamical Systems - Series S, 2012, 32 (6), pp.1997-2025. ⟨10.3934/dcds.2012.32.1997⟩
Article dans une revue hal-00549828 v2
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On the amplitude equations for weakly nonlinear surface waves

Sylvie Benzoni-Gavage , Jean-François Coulombel
Archive for Rational Mechanics and Analysis, 2012, 205 (3), pp.871-925. ⟨10.1007/s00205-012-0522-7⟩
Article dans une revue hal-00607348 v1
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Ill-posedness of nonlocal Burgers equations

Sylvie Benzoni-Gavage , Jean-François Coulombel , Nikolay Tzvetkov
Advances in Mathematics, 2011, 227 (6), pp.2220-2240. ⟨10.1016/j.aim.2011.04.017⟩
Article dans une revue hal-00491136 v1
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Transverse instability of solitary waves in Korteweg fluids

Sylvie Benzoni-Gavage
Journal of Mathematical Analysis and Applications, 2010, 361 (2), pp.338-357
Article dans une revue hal-00342400 v1
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Local well-posedness of nonlocal Burgers equations

Sylvie Benzoni-Gavage
Differential and integral equations, 2009, 22 (3-4), pp.303-320
Article dans une revue hal-00282893 v1
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Weakly nonlinear surface waves and subsonic phase boundaries

Sylvie Benzoni-Gavage , Massimiliano D Rosini
Computers & Mathematics with Applications, 2009, 57 (3-4), pp.1463-1484
Article dans une revue hal-00946232 v1

On the well-posedness for the Euler-Korteweg model in several space dimensions

S. Benzoni-Gavage , Raphaël Danchin , S. Descombes
Indiana University Mathematics Journal, 2007, 56 (4), pp.1499--1579. ⟨10.1512/iumj.2007.56.2974⟩
Article dans une revue hal-00693094 v1

Boundary Conditions for Euler Equations

Sylvie Benzoni-Gavage , Jean-François Coulombel , Stéphane Aubert
AIAA Journal, 2003, 41 (1), pp.56-63. ⟨10.2514/2.1913⟩
Article dans une revue hal-04015004 v1

Kirk Lecture: Periodic waves, stability and modulations

Sylvie Benzoni-Gavage
Dispersive hydrodynamics: mathematics, simulation and experiments, with applications in nonlinear waves, Gennady El, University Mark Hoefer, Antonio Moro, Barbara Prinari, Michael Shearer, Jul 2022, Cambridge (Isaac Newton Institute for Mathematical Sciences), France
Communication dans un congrès hal-04798172 v1

Modulation equations revisited

Sylvie Benzoni-Gavage
Modulation theory and dispersive shock waves, Thibault Congy, Gennady El, Sergey Gavrilyuk, Mark Hoefer, Jul 2022, Cambridge (Isaac Newton Institute for Mathematical Sciences), France
Communication dans un congrès hal-04798149 v1
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The Rulpidon and 9-color maps

Sylvie Benzoni-Gavage
Bridges 2023: Mathematics, Art, Music, Architecture, Culture, Jul 2023, Halifax (Canada), Canada
Communication dans un congrès hal-04797885 v1

An overview of dispersive shocks

Sylvie Benzoni-Gavage
New horizons in dispersive hydrodynamics, Costanza Benassi, Thibault Congy, Gennady El, Antonio Moro, Daniel Ratliff, Matteo Sommacal, Jun 2021, Cambridge (Isaac Newton Institute for Mathematical Sciences), France
Communication dans un congrès hal-04798125 v1
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Amplitude equations for weakly nonlinear surface waves in variational problems

Sylvie Benzoni-Gavage , Jean-François Coulombel
Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics., Sep 2015, Rome, Italy
Communication dans un congrès hal-01208479 v1
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Stability of periodic waves in Hamiltonian PDEs

Sylvie Benzoni-Gavage , Pascal Noble , Luis Miguel Miguel Rodrigues
Journées Équations aux Dérivées Partielles, David Lannes, Jun 2013, Biarritz, France. pp.22
Communication dans un congrès hal-00915227 v1

The Maison Poincaré

Sylvie Benzoni-Gavage , Marion Liewig
Handbook of Mathematical Science Communication, World Scientific, 2023, Series on Science Communication, ⟨10.1142/12747⟩
Chapitre d'ouvrage hal-04798047 v1
Image document

La musique des surfaces

Sylvie Benzoni-Gavage
Toshimasa Kikuchi - Objets mathématiques, Musée national des arts asiatiques, 2021, 978-2-9566150-3
Chapitre d'ouvrage hal-04797987 v1