2012

Communications / Conférences

• Séré, Eric ; Lewin, Mathieu ; Hainzl, Christian ; Gravejat, Philippe . Two Hartree-Fock models for the vacuum polarization. Journées EDP 2012. Biarritz. France. 2012.

Documents de travail

• Séré, Eric ; Lewin, Mathieu ; Hainzl, Christian ; Gravejat, Philippe . Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields. Université Paris-Dauphine . 2012 .

2011

Articles

• Gravejat, Philippe ; Lewin, Mathieu ; Séré, Eric . Renormalization and asymptotic expansion of Dirac's polarized vacuum. Communications in Mathematical Physics. Volume 306. n° 1. 2011. pages 1-33. Springer. DOI http://dx.doi.org/10.1007/s00220-011-1271-4.

2010

Articles

• Béthuel, Fabrice ; Gravejat, Philippe ; Saut, Jean-Claude ; Smets, Didier . On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation II. Communications in Partial Differential Equations. Volume 35. n° 1. 2010. pages 113-164. Taylor & Francis. DOI http://dx.doi.org/10.1080/03605300903222542.

2009

Articles

• Smets, Didier ; Saut, Jean-Claude ; Gravejat, Philippe ; Béthuel, Fabrice . On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation I. International Mathematics Research Notices. Volume 2009. n° 14. 2009. pages 2700-2748. Oxford University Press. DOI http://dx.doi.org/10.1093/imrn/rnp031.
• Béthuel, Fabrice ; Gravejat, Philippe ; Saut, Jean-Claude . Travelling waves for the Gross-Pitaevskii equation II. Communications in Mathematical Physics. Volume 285. n° 2. 2009. pages 567-651. Springer. DOI http://dx.doi.org/10.1007/s00220-008-0614-2.
• Gravejat, Philippe ; Lewin, Mathieu ; Séré, Eric . Ground State and Charge Renormalization in a Nonlinear Model of Relativistic Atoms. Communications in Mathematical Physics. Volume 286. n° 1. 2009. pages 179-215. Springer. DOI http://dx.doi.org/10.1007/s00220-008-0660-9.

Communications / Conférences

• Béthuel, Fabrice ; Gravejat, Philippe ; Saut, Jean-Claude . Ondes progressives pour l'équation de Gross-Pitaevskii. Séminaire équations aux dérivées partielles 07-08. Années 2007 - 2008. Palaiseau. France. 2009.

2008

Articles

• Béthuel, Fabrice ; Gravejat, Philippe ; Saut, Jean-Claude ; Smets, Didier . Orbital stability of the black soliton to the Gross-Pitaevskii equation. Indiana University Mathematics Journal. Volume 57. n° 6. 2008. pages 2611-2642. DOI http://dx.doi.org/10.1512/iumj.2008.57.3632.
• Gravejat, Philippe . Asymptotics of the solitary waves for the generalised Kadomtsev-Petviashvili equations. Discrete and Continuous Dynamical Systems - Series A (DCDS-A). Volume 21. n° 3. 2008. pages 835-882. DOI http://dx.doi.org/10.3934/dcds.2008.21.835.
• Saut, Jean-Claude ; Gravejat, Philippe ; Béthuel, Fabrice . On the KP I transonic limit of two-dimensional Gross-Pitaevskii travelling waves. Dynamics of Partial Differential Equations (DPDE). Volume 5. n° 3. 2008. pages 241-280.

Chapitres d'ouvrage

• Béthuel, Fabrice ; Gravejat, Philippe ; Saut, Jean-Claude . Existence and properties of travelling waves for the Gross-Pitaevskii equation. A. Farina and J.-C. Saut. Stationary and time dependent Gross-Pitaevskii equations. Providence, R.I.. 2008.