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math.AP2024
Fractional Voigt-regularization of the 3D Navier--Stokes and Euler equations: Global well-posedness and limiting behavior
Zdzislaw Brzeźniak, Adam Larios, Isabel Safarik
The Voigt regularization is a technique used to model turbulent flows, offering advantages such as sharing steady states with the Navier-Stokes equations and requiring no modificat…
math.AP2008★ 1 cited
Backward Uniqueness and the existence of the spectral limit for some parabolic SPDEs
Z. Brzeźniak, M. Neklyudov
The aim of this article is to study the asymptotic behaviour for large times of solutions to a certain class of stochastic partial differential equations of parabolic type. In part…
math.AP2006
2D Navier-Stokes equation in Besov spaces of negative order
Z. Brzezniak, B. Ferrario
The Navier--Stokes equation in the bidimensional torus is considered, with initial velocity and forcing term in suitable Besov spaces. Results of local existence and uniqueness are…