4 papers
Exponential mixing and enhanced dissipation on the unit sphere with Rossby-Haurwitz flows
Augusto Del Zotto, Marc Nualart
We exhibit a family of smooth incompressible velocity fields on the two-dimensional unit sphere such that the time evolution of any mean-free initial data passively advected by any…
Linear inviscid damping for stably stratified Boussinesq flows
Alberto Enciso, Marc Nualart
We study the linear asymptotic stability of stably stratified monotone shear flows for the Boussinesq equations in the periodic channel. By means of the limiting absorption princip…
On the fragility of laminar flow
Theodore D. Drivas, Daniel Ginsberg, Marc Nualart
Inviscid laminar flow is a stationary solution of the incompressible Euler equations whose streamlines foliate the fluid domain. Their structure on symmetric domains is rigid: all…
A geometric characterization of steady laminar flow
Theodore D. Drivas, Marc Nualart
We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non-contractible streamlines which…