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,
69, No. 2, pp.545--619 (2020).
Long wave asymptotics for the Euler–Korteweg system (hal-01221714),
coauteur / co-author :
David Chiron.
Revista Matemática Iberoamericana, 34, No. 1, pp.245--304 (2018).
Co-periodic stability of periodic waves in some Hamiltonian PDEs (hal-01147784),
coauteurs / co-authors :
Colin Mietka, L. Miguel Rodrigues.
Nonlinearity, 29, No. 11, pp.3241 (2016).
Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids (hal-00804222),
coauteurs / co-authors :
Pascal Noble, L. Miguel Rodrigues.
Journal of Nonlinear Science, 24, No. 4, pp.711-768 (2014).
Jump conditions and dynamic surface tension at permeable interfaces such as the inner core boundary,
coauteurs / co-authors :
Frédéric Chambat, Yanick Ricard.
Comptes Rendus Geoscience, 346, No. 5-6, pp.110–118 (2014).
Planar traveling waves in capillary fluids (hal-00686048),
Differential Integral Equations, 26, No. 3-4, 433-478 (2013).
On the amplitude equations for weakly nonlinear surface waves (hal-00607348),
coauteur / co-author :
Jean-François Coulombel.
Archive for Rational Mechanics and Analysis, 205, No. 3, 871-925 (2012).
On a phase field model for solid-liquid phase transitions (hal-00549828),
coauteurs / co-authors :
Laurent Chupin, Didier Jamet, Julien Vovelle.
Discrete and Continuous Dynamical Systems, 32, No. 6, 1997-2025 (2012).
Ill-posedness of nonlocal Burgers equations (hal-00491136),
coauteurs / co-authors :
Jean-François Coulombel,
Nikolay Tzvetkov.
Advances in Mathematics, 227, No. 6, 2220-2240 (2011).
Spectral transverse instability of solitary waves in Korteweg fluids,
(hal-00342400),
Journal of Mathematical Analysis and Applications, 361, No. 2, 338-357 (2010).
Local well-posedness of nonlocal Burgers equations
(hal-00282893),
Differential Integral Equations, 22, No. 3-4, 303-320 (2009).
Weakly nonlinear surface waves and subsonic phase boundaries (hal-00280774),
coauteur / co-author : Massimiliano Rosini
Computers & Mathematics with Applications, 57, No. 3-4, 1463-1484 (2009).
Transition to instability of planar viscous shock fronts I: the refined stability condition,
coauteurs / co-authors :
Denis Serre &
Kevin Zumbrun
Zeitschrift für Analysis und ihre Anwendungen, 27, No. 1, 11-30 (2008).
On the well-posedness of the Euler-Korteweg model in several space dimensions,
coauteurs / co-authors :
Raphaël Danchin &
Stéphane Descombes
Indiana University Mathematics Journal, 56, No. 4, 1499--1579 (2007).
Measure valued solutions to conservation laws motivated by traffic modeling,
coauteurs / co-authors :
Rinaldo Colombo
& Piotr Gwiazda
Proceedings of The Royal Society of London. Series A., 462, No. 2070, 1791--1803 (2006).
Well-posedness of one-dimensional Korteweg models,
coauteurs / co-authors :
Raphaël Danchin &
Stéphane Descombes
Electronic Journal of Differential Equations,
59, 1-35 (2006).
Structure of Korteweg models and stability of diffuse interfaces,
coauteurs / co-authors :
Raphaël Danchin,
Stéphane Descombes & Didier Jamet.
Interfaces Free Boundaries, 7, 371-414 (2005).
Effects of surface tension on the stability of dynamical liquid-vapor
interfaces,
coauteur / co-author :
Heinrich Freistühler
Archive for Rational
Mechanics and Analysis, 174, No. 1, 111-150 (2004).
Nonlinear stability of semi-discrete shock waves,
coauteurs / co-authors : Pierre Huot & Frédéric
Rousset
SIAM Journal on Mathematical Analysis,
35 No.3, 639--707 (2003).
An n-populations model for traffic flow,
coauteur / co-author : Rinaldo Colombo
European Journal on Applied Mathematics,
14, 587--612 (2003).
Boundary conditions for Euler equations,
coauteurs / co-authors : Jean-François Coulombel
& Stéphane Aubert
AIAA Journal, 41 No.1, 56--63 (2003).
Note on a paper by Robinet, Gressier, Casalis and Moschetta,
coauteurs / co-authors : Jean-François Coulombel
& Denis Serre
Journal of Fluid Mechanics 469, 401-405 (2002).
Generic types and transitions in hyperbolic initial-boundary value problems,
coauteurs / co-authors : Frédéric Rousset,
Denis Serre &
Kevin Zumbrun
Proceedings A of the Royal Society of Edinburgh, 132 No.5, 1073--1104 (2002).
Stability of semi-discrete shock profiles by means of an Evans function
in infinite dimensions,
Journal of Dynamics and Differential Equations 14 No.3, 613--674 (2002).
Existence of semi-discrete shocks,
coauteurs / co-authors : Pierre Huot
Discrete and Continuous Dynamical Systems 8, 163--190 (2002).
Linear stability of propagating liquid-vapor interfaces in capillary
fluids,
Physica D. 155, 235--273 (2001).
Alternate Evans functions and viscous shock waves,
coauteurs / co-authors : Denis Serre &
Kevin Zumbrun,
SIAM Journal on Mathematical Analysis. 32 No.5, 929--962 (2001).
Sur la stabilité de profils semidiscrets au moyen
d'une fonction d'Evans en dimension infinie,
Comptes Rendus de l'Académie des Sciences de Paris,
Série I. 329, 377--382 (1999).
Stability of subsonic planar phase boundaries in a van der
Waals fluid,
Archive for Rational
Mechanics and Analysis. 150 No. 1, 23--55 (1999).
Nonuniqueness of phase transitions near the Maxwell line,
Proceedings of the A.M.S. 127 No. 4, 1183-1190 (1999).
Stability of multi-dimensional phase transitions in a
van der Waals fluid,
Nonlinear Analysis T.M.A. 31 No. 1/2, 243-263 (1998).
Semi-discrete shock profiles for hyperbolic systems of conservation laws,
Physica D 115, 109-123 (1998).
On a representation formula for B. Temple systems,
SIAM Journal on Mathematical Analysis 27, 1503-1519
(1996).
Compacité par compensation pour une classe de
systèmes hyperboliques de p lois de conservation (p>=3),
coauteurs / co-authors : D. Serre,
Revista Matemática Iberoamericana 10, 557-579 (1994).
Dernière mise à jour / Last update: 17/06/2021.