The constraint equations in the presence of a scalar field - the case of the conformal method with volumetric drift

Caterina Vâlcu (1)

1 UCBL - Université Claude Bernard Lyon 1

In this paper we establish the existence in low dimensions of solutions to the constraint equations in the case of the conformal system recently proposed by David Maxwell [14], with the added presence of a scalar field and under suitable smallness assumptions on its parameters.

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

Caterina Vâlcu. The constraint equations in the presence of a scalar field - the case of the conformal method with volumetric drift. 2019. ⟨hal-02022713⟩