Three-dimensional shear driven turbulence with noise at the boundary

WTL Fan, M Jolly, A Pakzad - Nonlinearity, 2021 - iopscience.iop.org
We consider the incompressible 3D Navier–Stokes equations subject to a shear induced by
noisy movement of part of the boundary. The effect of the noise is quantified by upper …

On the zeroth law of turbulence for the stochastically forced Navier-Stokes equations

YT Chow, A Pakzad - arxiv preprint arxiv:2004.08655, 2020 - arxiv.org
We consider three-dimensional stochastically forced Navier-Stokes equations subjected to
white-in-time (colored-in-space) forcing in the absence of boundaries. Upper and lower …

Stochastic evolution equations with rough boundary noise

A Neamţu, T Seitz - Partial Differential Equations and Applications, 2023 - Springer
We investigate the pathwise well-posedness of stochastic partial differential equations
perturbed by multiplicative Neumann boundary noise, such as fractional Brownian motion …

[HTML][HTML] Stabilization by multiplicative Itô noise for Chafee–Infante equation in perforated domains

HH Ly, BQ Tang - Applied Mathematics Letters, 2024 - Elsevier
The stabilization by noise for parabolic equations in perforated domains, ie domains with
small holes, is investigated. We show that when the holes are small enough, one can …

Improved stability for linear spdes using mixed boundary/internal controls

D Goreac, I Munteanu - Systems & Control Letters, 2021 - Elsevier
This paper is motivated by the asymptotic stabilization of abstract SPDEs of linear type. As a
first step, it proposes an abstract contribution to the exact controllability (in a general L p …

Attractors for a class of delayed reaction-diffusion equations with dynamic boundary conditions

J Lee, VM Toi - Discrete and Continuous Dynamical Systems-B, 2020 - aimsciences.org
In this paper we study the asymptotic behavior of solutions for a class of nonautonomous
reaction-diffusion equations with dynamic boundary conditions possessing finite delay …

Stochastic evolution equations with rough boundary noise

A Blessing-Neamtu, T Seitz - 2023 - kops.uni-konstanz.de
We investigate the pathwise well-posedness of stochastic partial differential equations
perturbed by multiplicative Neumann boundary noise, such as fractional Brownian motion …