Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Zelati, Michele Coti"'
In this work we consider the Lagrangian properties of a random version of the Arnold-Beltrami-Childress (ABC) in a three-dimensional periodic box. We prove that the associated flow map possesses a positive top Lyapunov exponent and its associated one
Externí odkaz:
http://arxiv.org/abs/2407.18028
We consider variational problem related to entropy maximization in the two-dimensional Euler equations, in order to investigate the long-time dynamics of solutions with bounded vorticity. Using variations on the classical min-max principle and borrow
Externí odkaz:
http://arxiv.org/abs/2405.14738
This paper is devoted to the nonlinear analysis of a kinetic model introduced by Saintillan and Shelley to describe suspensions of active rodlike particles in viscous flows. We investigate the stability of the constant state $\Psi(t,x,p) = \frac{1}{4
Externí odkaz:
http://arxiv.org/abs/2404.01906
We investigate the hydrostatic approximation for inviscid stratified fluids, described by the two-dimensional Euler-Boussinesq equations in a periodic channel. Through a perturbative analysis of the hydrostatic homogeneous setting, we exhibit a strat
Externí odkaz:
http://arxiv.org/abs/2403.17857
This article explores the stability of stratified Couette flow in the viscous $3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity w
Externí odkaz:
http://arxiv.org/abs/2402.15312
We study the vanishing Mach number limit for the stochastic Navier-Stokes equations with $\gamma$-type pressure laws, with focus on the one-dimensional case. We prove that, if the stochastic term vanishes with respect to the Mach number sufficiently
Externí odkaz:
http://arxiv.org/abs/2311.14660
We study the passive transport of a scalar field by a spatially smooth but white-in-time incompressible Gaussian random velocity field on $\mathbb{R}^d$. If the velocity field $u$ is homogeneous, isotropic, and statistically self-similar, we derive a
Externí odkaz:
http://arxiv.org/abs/2309.15744
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
Autor:
Zelati, Michele Coti, Nualart, Marc
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 linearized system near a linearly stratified Couette flow and prove in
Externí odkaz:
http://arxiv.org/abs/2309.08445
Autor:
Zelati, Michele Coti, Nualart, Marc
This short note provides explicit solutions to the linearized Boussinesq equations around the stably stratified Couette flow posed on $\mathbb{T}\times\mathbb{R}$. We consider the long-time behavior of such solutions and prove inviscid damping of the
Externí odkaz:
http://arxiv.org/abs/2309.08419