{"id":175,"date":"2024-06-07T21:53:22","date_gmt":"2024-06-07T19:53:22","guid":{"rendered":"https:\/\/math.univ-lyon1.fr\/perso\/?page_id=175"},"modified":"2024-09-13T11:37:47","modified_gmt":"2024-09-13T09:37:47","slug":"papers","status":"publish","type":"page","link":"https:\/\/math.univ-lyon1.fr\/perso\/sylvie-benzoni-gavage\/publications\/papers\/","title":{"rendered":"Papers"},"content":{"rendered":"\n

Papers<\/h2>\n\n\n\n

Articles publi\u00e9s \/ Peer-reviewed papers<\/h3>\n\n\n\n
\n
Sylvie Benzoni-Gavage<\/a><\/div>\n<\/div>\n\n\n\n

Modulated equations of Hamiltonian PDEs and dispersive shocks<\/em> (hal-02365963<\/a>),
coauteurs \/ co-authors : Colin Mietka<\/a>, L. Miguel Rodrigues<\/a>.
Nonlinearity<\/a>, 34<\/strong>, No. 1, pp. 578–641 (2021).<\/p>\n\n\n\n

Stability of periodic waves in Hamiltonian PDEs of either long wavelength or small amplitude<\/em> (hal-01590731<\/a>),
coauteurs \/ co-authors : Colin Mietka<\/a>, L. Miguel Rodrigues<\/a>.
Indiana University Mathematics Journal<\/a>, 69<\/strong>, No. 2, pp.545–619 (2020).<\/p>\n\n\n\n

Long wave asymptotics for the Euler\u2013Korteweg system<\/em> (hal-01221714<\/a>),
coauteur \/ co-author : David Chiron<\/a>.
Revista Matem\u00e1tica Iberoamericana<\/a>, 34<\/strong>, No. 1, pp.245–304 (2018).<\/p>\n\n\n\n

Co-periodic stability of periodic waves in some Hamiltonian PDEs<\/em> (hal-01147784<\/a>),
coauteurs \/ co-authors : Colin Mietka<\/a>, L. Miguel Rodrigues<\/a>.
Nonlinearity<\/a>, 29<\/strong>, No. 11, pp.3241 (2016).<\/p>\n\n\n\n

Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids<\/em> (hal-00804222<\/a>),
coauteurs \/ co-authors : Pascal Noble<\/a>, L. Miguel Rodrigues<\/a>.
Journal of Nonlinear Science<\/a>, 24<\/strong>, No. 4, pp.711-768 (2014).<\/p>\n\n\n\n

Jump conditions and dynamic surface tension at permeable interfaces such as the inner core boundary<\/em>,
coauteurs \/ co-authors : Fr\u00e9d\u00e9ric Chambat<\/a>, Yanick Ricard<\/a>.
Comptes Rendus Geoscience, 346<\/strong>, No. 5-6, pp.110\u2013118 (2014).<\/p>\n\n\n\n

Planar traveling waves in capillary fluids<\/em> (hal-00686048<\/a>),
Differential Integral Equations<\/a>, 26<\/strong>, No. 3-4, 433-478 (2013).<\/p>\n\n\n\n

On the amplitude equations for weakly nonlinear surface waves<\/em> (hal-00607348<\/a>),
coauteur \/ co-author : Jean-Fran\u00e7ois Coulombel<\/a>.
Archive for Rational Mechanics and Analysis<\/a>, 205<\/strong>, No. 3, 871-925 (2012).<\/p>\n\n\n\n

On a phase field model for solid-liquid phase transitions<\/em> (hal-00549828<\/a>),
coauteurs \/ co-authors : Laurent Chupin<\/a>, Didier Jamet, Julien Vovelle<\/a>.
Discrete and Continuous Dynamical Systems<\/a>, 32<\/strong>, No. 6, 1997-2025 (2012).<\/p>\n\n\n\n

Ill-posedness of nonlocal Burgers equations<\/em> (hal-00491136<\/a>),
coauteurs \/ co-authors : Jean-Fran\u00e7ois Coulombel<\/a>, Nikolay Tzvetkov<\/a>.
Advances in Mathematics<\/a>, 227<\/strong>, No. 6, 2220-2240 (2011).<\/p>\n\n\n\n

Spectral transverse instability of solitary waves in Korteweg fluids,<\/em> (hal-00342400<\/a>),
Journal of Mathematical Analysis and Applications<\/a>, 361<\/strong>, No. 2, 338-357 (2010).<\/p>\n\n\n\n

Local well-posedness of nonlocal Burgers equations<\/em> (hal-00282893<\/a>),
Differential Integral Equations<\/a>, 22<\/strong>, No. 3-4, 303-320 (2009).<\/p>\n\n\n\n

Weakly nonlinear surface waves and subsonic phase boundaries<\/em> (hal-00280774<\/a>),
coauteur \/ co-author : Massimiliano Rosini
Computers & Mathematics with Applications<\/a>, 57<\/strong>, No. 3-4, 1463-1484 (2009).<\/p>\n\n\n\n

Transition to instability of planar viscous shock fronts I: the refined stability condition<\/a>,<\/em>
coauteurs \/ co-authors : Denis Serre <\/a>& Kevin Zumbrun<\/a>
Zeitschrift f\u00fcr Analysis und ihre Anwendungen<\/a>, 27<\/strong>, No. 1, 11-30 (2008).<\/p>\n\n\n\n

On the well-posedness of the Euler-Korteweg model in several space dimensions<\/a>,<\/em>
coauteurs \/ co-authors : Rapha\u00ebl Danchin<\/a> & St\u00e9phane Descombes<\/a>
Indiana University Mathematics Journal<\/a>, 56<\/strong>, No. 4, 1499–1579 (2007).<\/p>\n\n\n\n

Measure valued solutions to conservation laws motivated by traffic modeling,<\/em>
coauteurs \/ co-authors : Rinaldo Colombo<\/a> & Piotr Gwiazda<\/a>
Proceedings of The Royal Society of London. Series A.<\/a>, 462<\/strong>, No. 2070, 1791–1803 (2006).<\/p>\n\n\n\n

Well-posedness of one-dimensional Korteweg models,<\/em>
coauteurs \/ co-authors : Rapha\u00ebl Danchin<\/a> & St\u00e9phane Descombes<\/a>
Electronic Journal of Differential Equations<\/a>, 59<\/strong>, 1-35 (2006).<\/p>\n\n\n\n

Structure of Korteweg models and stability of diffuse interfaces,<\/em>
coauteurs \/ co-authors : Rapha\u00ebl Danchin<\/a>, St\u00e9phane Descombes<\/a> & Didier Jamet.
Interfaces Free Boundaries, 7<\/strong>, 371-414 (2005).<\/p>\n\n\n\n

Effects of surface tension on the stability of dynamical liquid-vapor interfaces,<\/em>
coauteur \/ co-author : Heinrich Freist\u00fchler<\/a>
Archive for Rational Mechanics and Analysis, 174<\/strong>, No. 1, 111-150 (2004).<\/p>\n\n\n\n

Nonlinear stability of semi-discrete shock waves,<\/em>
coauteurs \/ co-authors : Pierre Huot & Fr\u00e9d\u00e9ric Rousset<\/a>
SIAM Journal on Mathematical Analysis, 35<\/strong> No.3, 639–707 (2003).<\/p>\n\n\n\n

An n-populations model for traffic flow,<\/em>
coauteur \/ co-author : Rinaldo Colombo<\/a>
European Journal on Applied Mathematics, 14<\/strong>, 587–612 (2003).<\/p>\n\n\n\n

Boundary conditions for Euler equations,<\/em>
coauteurs \/ co-authors : Jean-Fran\u00e7ois Coulombel<\/a> & St\u00e9phane Aubert
AIAA Journal, 41<\/strong> No.1, 56–63 (2003).<\/p>\n\n\n\n

Note on a paper by Robinet, Gressier, Casalis and Moschetta,<\/em>
coauteurs \/ co-authors : Jean-Fran\u00e7ois Coulombel<\/a> & Denis Serre<\/a>
Journal of Fluid Mechanics 469<\/strong>, 401-405 (2002).<\/p>\n\n\n\n

Generic types and transitions in hyperbolic initial-boundary value problems,<\/em>
coauteurs \/ co-authors : Fr\u00e9d\u00e9ric Rousset<\/a>, Denis Serre<\/a> & Kevin Zumbrun<\/a>
Proceedings A of the Royal Society of Edinburgh, 132<\/strong> No.5, 1073–1104 (2002).<\/p>\n\n\n\n

Stability of semi-discrete shock profiles by means of an Evans function in infinite dimensions,<\/em>
Journal of Dynamics and Differential Equations 14<\/strong> No.3, 613–674 (2002).<\/p>\n\n\n\n

Existence of semi-discrete shocks,<\/em>
coauteurs \/ co-authors : Pierre Huot<\/a>
Discrete and Continuous Dynamical Systems 8<\/strong>, 163–190 (2002).<\/p>\n\n\n\n

Linear stability of propagating liquid-vapor interfaces in capillary fluids,<\/em>
Physica D. 155<\/strong>, 235–273 (2001).<\/p>\n\n\n\n

Alternate Evans functions and viscous shock waves,<\/em>
coauteurs \/ co-authors : Denis Serre<\/a> & Kevin Zumbrun<\/a>,
SIAM Journal on Mathematical Analysis. 32<\/strong> No.5, 929–962 (2001).<\/p>\n\n\n\n

Sur la stabilit\u00e9 de profils semidiscrets au moyen d’une fonction d’Evans en dimension infinie,<\/em>
Comptes Rendus de l’Acad\u00e9mie des Sciences de Paris, S\u00e9rie I. 329<\/strong>, 377–382 (1999).<\/p>\n\n\n\n

Stability of subsonic planar phase boundaries in a van der Waals fluid,<\/em>
Archive for Rational Mechanics and Analysis. 150<\/strong> No. 1, 23–55 (1999).<\/p>\n\n\n\n

Nonuniqueness of phase transitions near the Maxwell line,<\/em>
Proceedings of the A.M.S. 127<\/strong> No. 4, 1183-1190 (1999).<\/p>\n\n\n\n

Stability of multi-dimensional phase transitions in a van der Waals fluid,<\/em>
Nonlinear Analysis T.M.A. 31<\/strong> No. 1\/2, 243-263 (1998).<\/p>\n\n\n\n

Semi-discrete shock profiles for hyperbolic systems of conservation laws,<\/em>
Physica D 115<\/strong>, 109-123 (1998).<\/p>\n\n\n\n

On a representation formula for B. Temple systems,<\/em>
SIAM Journal on Mathematical Analysis 27<\/strong>, 1503-1519 (1996).<\/p>\n\n\n\n

Compacit\u00e9 par compensation pour une classe de syst\u00e8mes hyperboliques de p lois de conservation (p>=3),<\/em>
coauteurs \/ co-authors : D. Serre, Revista Matem\u00e1tica Iberoamericana 10<\/strong>, 557-579 (1994).<\/p>\n","protected":false},"excerpt":{"rendered":"

Papers Articles publi\u00e9s \/ Peer-reviewed papers Modulated equations of Hamiltonian PDEs and dispersive shocks (hal-02365963),coauteurs \/ co-authors : Colin Mietka, L. Miguel Rodrigues.Nonlinearity, 34, No. 1, pp. 578–641 (2021). Stability of periodic waves in Hamiltonian PDEs of either long wavelength or small amplitude (hal-01590731),coauteurs \/ co-authors : Colin Mietka, L. Miguel Rodrigues.Indiana University Mathematics Journal, […]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":168,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-175","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/pages\/175","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/comments?post=175"}],"version-history":[{"count":4,"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/pages\/175\/revisions"}],"predecessor-version":[{"id":464,"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/pages\/175\/revisions\/464"}],"up":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/pages\/168"}],"wp:attachment":[{"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/media?parent=175"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}