On anomalous dissipation induced by transport noise

A Agresti - arXiv preprint arXiv:2405.03525, 2024 - arxiv.org
In this paper, we show that suitable transport noises produce anomalous dissipation of
energy of solutions to the 2D Navier-Stokes equations and diffusion equations in all …

Global well-posedness of 2D Navier-Stokes with Dirichlet boundary fractional noise

A Agresti, A Blessing, E Luongo - arXiv preprint arXiv:2407.03988, 2024 - arxiv.org
In this paper, we prove the global well-posedness and interior regularity for the 2D Navier-
Stokes equations driven by a fractional noise acting as an inhomogeneous Dirichlet-type …

[HTML][HTML] The primitive equations with stochastic wind driven boundary conditions

T Binz, M Hieber, A Hussein, M Saal - Journal de Mathématiques Pures et …, 2024 - Elsevier
The primitive equations for geophysical flows are studied under the influence of stochastic
wind driven boundary conditions modeled by a cylindrical Wiener process. We adapt an …