Skip to Main content Skip to Navigation
Journal articles

On the linear stability of vortex columns in the energy space

Abstract : We investigate the linear stability of inviscid columnar vortices with respect to finite energy perturbations. For a large class of vortex profiles, we show that the linearized evolution group has a sub-exponential growth in time, which means that the associated growth bound is equal to zero. This implies in particular that the spectrum of the linearized operator is entirely contained in the imaginary axis. This contribution complements the results of our previous work [10], where spectral stability was established for the linearized operator in the enstrophy space.
Complete list of metadata

Cited literature [18 references]  Display  Hide  Download

https://hal.sorbonne-universite.fr/hal-02964476
Contributor : Gestionnaire Hal-Su <>
Submitted on : Monday, October 12, 2020 - 2:27:18 PM
Last modification on : Tuesday, July 13, 2021 - 3:13:30 AM
Long-term archiving on: : Wednesday, January 13, 2021 - 6:59:35 PM

File

Gallay et Smets - 2019 - On th...
Files produced by the author(s)

Identifiers

Citation

Thierry Gallay, Didier Smets. On the linear stability of vortex columns in the energy space. Journal of Mathematical Fluid Mechanics, Springer Verlag, 2019, 21 (4), pp.48. ⟨10.1007/s00021-019-0453-2⟩. ⟨hal-02964476⟩

Share

Metrics

Record views

41

Files downloads

88