Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Dolce, Michele"'
We consider the ideally conducting, viscous magnetohydrodynamics (MHD) equations in two dimensions. Specifically, we study the nonlinear dynamics near a combination of Couette flow and a constant magnetic field in a periodic infinite channel. In cont
Externí odkaz:
http://arxiv.org/abs/2410.22804
Autor:
Dolce, Michele, Gallay, Thierry
We consider the evolution of a viscous vortex dipole in $R^2$ originating from a pair of point vortices with opposite circulations. At high Reynolds number $Re >> 1$, the dipole can travel a very long way, compared to the distance between the vortex
Externí odkaz:
http://arxiv.org/abs/2407.13562
We study the evolution of a passive scalar subject to molecular diffusion and advected by an incompressible velocity field on a 2D bounded domain. The velocity field is $u = \nabla^\perp H$, where H is an autonomous Hamiltonian whose level sets are J
Externí odkaz:
http://arxiv.org/abs/2407.06884
Autor:
Dolce, Michele, Grande, Ricardo
In this paper, we consider the long-term behavior of some special solutions to the Wave Kinetic Equation (WKE). This equation provides a mesoscopic description of wave systems interacting nonlinearly via the cubic NLS equation. Escobedo and Vel\'azqu
Externí odkaz:
http://arxiv.org/abs/2404.14400
Significant advancements have emerged in the theory of asymptotic stability of shear flows in stably stratified fluids. In this comprehensive review, we spotlight these recent developments, with particular emphasis on novel approaches that exhibit ro
Externí odkaz:
http://arxiv.org/abs/2309.12738
Stability threshold of the 2D Couette flow in a homogeneous magnetic field using symmetric variables
Autor:
Dolce, Michele
We consider a 2D incompressible and electrically conducting fluid in the domain $\mathbb{T}\times\mathbb{R}$. The aim is to quantify stability properties of the Couette flow $(y,0)$ with a constant homogenous magnetic field $(\beta,0)$ when $|\beta|>
Externí odkaz:
http://arxiv.org/abs/2308.12589
In this note, we study the long-time dynamics of passive scalars driven by rotationally symmetric flows. We focus on identifying precise conditions on the velocity field in order to prove enhanced dissipation and Taylor dispersion in three-dimensiona
Externí odkaz:
http://arxiv.org/abs/2305.18162
In this paper, we describe the long-time behavior of the non-cutoff Boltzmann equation with soft potentials near a global Maxwellian background on the whole space in the weakly collisional limit (i.e. infinite Knudsen number $1/\nu\to \infty$). Speci
Externí odkaz:
http://arxiv.org/abs/2211.05079
Autor:
Dolce, Michele, Drivas, Theodore D.
The vorticity of a two-dimensional perfect (incompressible and inviscid) fluid is transported by its area preserving flow. Given an initial vorticity distribution $\omega_0$, predicting the long time behavior which can persist is an issue of fundamen
Externí odkaz:
http://arxiv.org/abs/2204.03587
We investigate the long-time properties of the two-dimensional inviscid Boussinesq equations near a stably stratified Couette flow, for an initial Gevrey perturbation of size $\varepsilon$. Under the classical Miles-Howard stability condition on the
Externí odkaz:
http://arxiv.org/abs/2103.13713