Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Pappalettera, Umberto"'
We propose a novel approach to induce anomalous dissipation through advection driven by turbulent fluid flows. Specifically, we establish the existence of a velocity field $v$ satisfying randomly forced Navier-Stokes equations, leading to total dissi
Externí odkaz:
http://arxiv.org/abs/2305.08090
We identify a sufficient condition under which solutions to the 3D forced Navier--Stokes equations satisfy an $L^p$-in-time version of the Kolmogorov 4/5 law for the behavior of the averaged third order longitudinal structure function along the vanis
Externí odkaz:
http://arxiv.org/abs/2304.14470
Autor:
Pappalettera, Umberto
Publikováno v:
Stoch. Partial Differ. Equ. Anal. Comput. (2023)
We show global existence and non-uniqueness of probabilistically strong, analytically weak solutions of the three-dimensional Navier-Stokes equations perturbed by Stratonovich transport noise. We can prescribe either: \emph{i}) any divergence-free, s
Externí odkaz:
http://arxiv.org/abs/2303.02363
Publikováno v:
Probab. Theory Relat. Fields (2023)
We construct H\"older continuous, global-in-time probabilistically strong solutions to 3D Euler equations perturbed by Stratonovich transport noise. Kinetic energy of the solutions can be prescribed a priori up to a stopping time, that can be chosen
Externí odkaz:
http://arxiv.org/abs/2212.12217
In the present paper we study slow-fast systems of coupled equations from fluid dynamics, where the fast component is perturbed by additive noise. We prove that, under a suitable limit of infinite separation of scales, the slow component of the syste
Externí odkaz:
http://arxiv.org/abs/2206.07775
Publikováno v:
J. Stat. Phys. (2022)
In this work we consider a finite dimensional approximation for the 2D Euler equations on the sphere, proposed by V. Zeitlin, and show their convergence towards a solution to Euler equations with marginals distributed as the enstrophy measure. The me
Externí odkaz:
http://arxiv.org/abs/2203.08997
Publikováno v:
Stoch. Partial Differ. Equ. Anal. Comput. (2022)
Additive noise in Partial Differential equations, in particular those of fluid mechanics, has relatively natural motivations. The aim of this work is showing that suitable multiscale arguments lead rigorously, from a model of fluid with additive nois
Externí odkaz:
http://arxiv.org/abs/2108.08701
Autor:
Pappalettera, Umberto
Publikováno v:
Commun. Partial Differ. Equ. (2022)
This work deals with mixing and dissipation ehancement for the solution of advection-diffusion equation driven by a Ornstein-Uhlenbeck velocity field. We are able to prove a quantitative mixing result, uniform in the diffusion parameter, and enhancem
Externí odkaz:
http://arxiv.org/abs/2104.03732
Publikováno v:
J. Nonlinear Sci. (2021)
The limit from an Euler type system to the 2D Euler equations with Stratonovich transport noise is investigated. A weak convergence result for the vorticity field and a strong convergence result for the velocity field are proved. Our results aim to p
Externí odkaz:
http://arxiv.org/abs/2101.03096
Publikováno v:
Arch. Rational Mech. Anal. (2022)
We give a rigorous construction of solutions to the Euler point vortices system in which three vortices burst out of a single one in a configuration of many vortices, or equivalently that there exist configurations of arbitrarily many vortices in whi
Externí odkaz:
http://arxiv.org/abs/2011.13329