1 citations · 1 across the 7 of their papers we have counts for
8 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…
Limiting absorption principles and linear inviscid damping in the Euler-Boussinesq system in the periodic channel
Michele Coti Zelati, Marc Nualart
We consider the long-time behavior of solutions to the two dimensional non-homogeneous Euler equations under the Boussinesq approximation posed on a periodic channel. We study the…
Explicit solutions and linear inviscid damping in the Euler-Boussinesq equation near a stratified Couette flow in the periodic strip
Michele Coti Zelati, Marc Nualart
This short note provides explicit solutions to the linearized Boussinesq equations around the stably stratified Couette flow posed on . We consider the…
On zonal steady solutions to the 2D Euler equations on the rotating unit sphere
Marc Nualart
The present paper studies the structure of the set of stationary solutions to the incompressible Euler equations on the rotating unit sphere that are near two basic zonal flows: th…
Distributional Solutions of the Damped Wave Equation
Marc Nualart
This work presents results on solutions of the one-dimensional damped wave equation, also called telegrapher's equation, when the initial conditions are general distributions, not…