UNIQUENESS OF AXISYMMETRIC VISCOUS FLOWS ORIGINATING FROM POSITIVE LINEAR COMBINATIONS OF CIRCULAR VORTEX FILAMENTS

Guillaume Lévy (1) , Yanlin Liu (2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 CAS - Chinese Academy of Sciences [Beijing]

Following the recent papers [9] and [10] by T. Gallay and V. ˘Sverák, in the line of work initiated by H. Feng and V. Sverák in their paper [3], we prove the uniqueness of a solution of the axisymmetric Navier-Stokes equations without swirl when the initial data is a positive linear combination of Dirac masses.

Mots clés: Axisymmetric Navier-Stokes; fluid mechanics; vortex filaments

Domaines: Equations aux dérivées partielles [math.AP]

Guillaume Lévy, Yanlin Liu. UNIQUENESS OF AXISYMMETRIC VISCOUS FLOWS ORIGINATING FROM POSITIVE LINEAR COMBINATIONS OF CIRCULAR VORTEX FILAMENTS. 2018. ⟨hal-01696644⟩