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Number of documents

21

Publications


Journal articles12 documents

  • Sylvie Benzoni-Gavage, Colin Mietka, L. Miguel Rodrigues. Modulated equations of Hamiltonian PDEs and dispersive shocks. Nonlinearity, IOP Publishing, 2021, 34 (1), pp.578-641. ⟨hal-02365963v2⟩
  • Sylvie Benzoni-Gavage, Colin Mietka, Luis Miguel Rodrigues. Stability of periodic waves in Hamiltonian PDEs of either long wavelength or small amplitude. Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2020, 69 (2), pp.545--619. ⟨10.1512/iumj.2020.69.7845⟩. ⟨hal-01590731v2⟩
  • David Chiron, Sylvie Benzoni-Gavage. Long wave asymptotics for the Euler–Korteweg system. Revista Matemática Iberoamericana, European Mathematical Society, 2018, 34 (1), pp.245-304. ⟨10.4171/RMI/985⟩. ⟨hal-01221714⟩
  • Sylvie Benzoni-Gavage, Colin Mietka, Luis Miguel Rodrigues. Co-periodic stability of periodic waves in some Hamiltonian PDEs. Nonlinearity, IOP Publishing, 2016, 29 (11), pp.3241. ⟨10.1088/0951-7715/29/11/3241⟩. ⟨hal-01147784⟩
  • Sylvie Benzoni-Gavage, Pascal Noble, Luis Miguel Rodrigues. Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids. Journal of Nonlinear Science, Springer Verlag, 2014, 24 (4), pp.58. ⟨hal-00804222v2⟩
  • Sylvie Benzoni-Gavage. Planar traveling waves in capillary fluids. Differential and integral equations, Khayyam Publishing, 2013, 26 (3-4), pp.433-478. ⟨hal-00686048⟩
  • Sylvie Benzoni-Gavage, Jean-Francois Coulombel. On the amplitude equations for weakly nonlinear surface waves. Archive for Rational Mechanics and Analysis, Springer Verlag, 2012, 205 (3), pp.871-925. ⟨10.1007/s00205-012-0522-7⟩. ⟨hal-00607348⟩
  • Sylvie Benzoni-Gavage, Laurent Chupin, Didier Jamet, Julien Vovelle. On a phase field model for solid-liquid phase transitions. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2012, 32 (6), pp.1997-2025. ⟨hal-00549828v2⟩
  • Sylvie Benzoni-Gavage, Jean-Francois Coulombel, Nikolay Tzvetkov. Ill-posedness of nonlocal Burgers equations. Advances in Mathematics, Elsevier, 2011, 227 (6), pp.2220-2240. ⟨10.1016/j.aim.2011.04.017⟩. ⟨hal-00491136⟩
  • Sylvie Benzoni-Gavage. Transverse instability of solitary waves in Korteweg fluids. Journal of Mathematical Analysis and Applications, Elsevier, 2010, 361 (2), pp.338-357. ⟨hal-00342400⟩
  • Sylvie Benzoni-Gavage. Local well-posedness of nonlocal Burgers equations. Differential and integral equations, Khayyam Publishing, 2009, 22 (3-4), pp.303-320. ⟨hal-00282893⟩
  • Sylvie Benzoni-Gavage, Massimiliano D Rosini. Weakly nonlinear surface waves and subsonic phase boundaries. Computers and Mathematics with Applications, Elsevier, 2009, 57 (3-4), pp.1463-1484. ⟨hal-00946232⟩

Conference papers2 documents

  • Sylvie Benzoni-Gavage, Jean-François Coulombel. Amplitude equations for weakly nonlinear surface waves in variational problems. Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics., Sep 2015, Rome, Italy. ⟨hal-01208479⟩
  • Sylvie Benzoni-Gavage, Pascal Noble, Luis Miguel Rodrigues. Stability of periodic waves in Hamiltonian PDEs. Journées Équations aux Dérivées Partielles, David Lannes, Jun 2013, Biarritz, France. pp.22. ⟨hal-00915227⟩

Books1 document

  • Martin Andler, Liliane Bel, Sylvie Benzoni-Gavage, Thierry Goudon, Cyril Imbert, et al.. Brèves de maths: Mathématiques de la planète Terre. Nouveau Monde Editions, 2014, 978-2-36583-896-2. ⟨hal-01078400⟩

Preprints, Working Papers, ...2 documents

  • Sylvie Benzoni-Gavage. Waves and their modulations. 2020. ⟨hal-02881881⟩
  • Sylvie Benzoni-Gavage, M.D Rosini. Weakly nonlinear surface waves and subsonic phase boundaries. 2008. ⟨hal-00280774⟩

Reports1 document

  • Sylvie Benzoni-Gavage, Jean-François Coulombel. The amplitude equation for weakly nonlinear reversible phase boundaries. [Research Report] CNRS. 2015. ⟨hal-01208192⟩

Lectures3 documents

  • Sylvie Benzoni-Gavage. Propagating phase boundaries and capillary fluids. 3rd cycle. Levico, 2010, pp.57. ⟨cel-00582329⟩
  • Sylvie Benzoni-Gavage. EDP dispersives. 3rd cycle. Lyon, 2009, pp.86. ⟨cel-00582332⟩
  • Sylvie Benzoni-Gavage. Analyse mathématique et numérique de la dynamique des fluides compressibles. 3rd cycle. Lyon, 2005, pp.114. ⟨cel-00582339⟩