Zobrazeno 1 - 10
of 593
pro vyhledávání: '"P. Bedrossian"'
We consider the negative regularity mixing properties of random volume preserving diffeomorphisms on a compact manifold without boundary. We give general criteria so that the associated random transfer operator mixes $H^{-\delta}$ observables exponen
Externí odkaz:
http://arxiv.org/abs/2410.19251
We study nonlinear energy transfer and the existence of stationary measures in a class of degenerately forced SDEs on $\mathbb R^d$ with a quadratic, conservative nonlinearity $B(x,x)$ constrained to possess various properties common to finite-dimens
Externí odkaz:
http://arxiv.org/abs/2407.16592
Autor:
Bedrossian, Jacob, Wu, Chi-Hao
In this paper we derive a quantitative dichotomy for the top Lyapunov exponent of a class of non-dissipative SDEs on a compact manifold in the small noise limit. Specifically, we prove that in this class, either the Lyapunov exponent is zero for all
Externí odkaz:
http://arxiv.org/abs/2406.00220
We consider the 2D, incompressible Navier-Stokes equations near the Couette flow, $\omega^{(NS)} = 1 + \epsilon \omega$, set on the channel $\mathbb{T} \times [-1, 1]$, supplemented with Navier boundary conditions on the perturbation, $\omega|_{y = \
Externí odkaz:
http://arxiv.org/abs/2405.19249
In this article, we study the regularity theory for two linear equations that are important in fluid dynamics: the passive scalar equation for (time-varying) shear flows close to Couette in $\mathbb T \times [-1,1]$ with vanishing diffusivity $\nu \t
Externí odkaz:
http://arxiv.org/abs/2405.19233
Autor:
Arbon, Ryan, Bedrossian, Jacob
We prove a stability threshold theorem for 2D Navier-Stokes on three unbounded domains: the whole plane $\mathbb{R} \times \mathbb{R}$, the half plane $\mathbb{R} \times [0,\infty)$ with Navier boundary conditions, and the infinite channel $\mathbb{R
Externí odkaz:
http://arxiv.org/abs/2404.02412
In this paper, we study the Vlasov-Poisson-Fokker-Planck (VPFP) equation with a small collision frequency $0 < \nu \ll 1$, exploring the interplay between the regularity and size of perturbations in the context of the asymptotic stability of the glob
Externí odkaz:
http://arxiv.org/abs/2402.14082
The physical quantities in a gas should vary continuously across a shock. However, the physics inherent in the compressible Euler equations is insufficient to describe the width or structure of the shock. We demonstrate the existence of weak shock pr
Externí odkaz:
http://arxiv.org/abs/2402.01581
In this work, we prove a threshold theorem for the 2D Navier-Stokes equations posed on the periodic channel, $\mathbb{T} \times [-1,1]$, supplemented with Navier boundary conditions $\omega|_{y = \pm 1} = 0$. Initial datum is taken to be a perturbati
Externí odkaz:
http://arxiv.org/abs/2311.00141
Autor:
Bedrossian, Jacob, Latocca, Mickaël
In this article we consider the two-dimensional incompressible Euler equations and give a sufficient condition on Gaussian measures of jointly independent Fourier coefficients supported on $H^{\sigma}(\mathbb{T}^2)$ ($\sigma>3$) such that these measu
Externí odkaz:
http://arxiv.org/abs/2307.04214