Two soliton solutions to the three dimensional gravitational Hartree equation

Joachim Krieger (1) , Yvan Martel (2) , Pierre Raphaël (3)

1 Department of Mathematics [Philadelphia]
2 LMV - Laboratoire de Mathématiques de Versailles
3 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We construct non dispersive two soliton solutions to the three dimensional gravitational Hartree equation whose trajectories asymptotically reproduce the nontrapped dynamics of the gravitational two body problem.

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Joachim Krieger, Yvan Martel, Pierre Raphaël. Two soliton solutions to the three dimensional gravitational Hartree equation. Communications on Pure and Applied Mathematics, 2009, 62 (11), pp.1501-1550. ⟨10.1002/cpa.20292⟩. ⟨hal-00408105⟩