Searched for: author%3A%22Agresti%2C+A.%22
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Agresti, A. (author), Luongo, Eliseo (author)
The paper is devoted to the analysis of the global well-posedness and the interior regularity of the 2D Navier–Stokes equations with inhomogeneous stochastic boundary conditions. The noise, white in time and coloured in space, can be interpreted as the physical law describing the driving mechanism on the atmosphere–ocean interface, i.e. as a...
journal article 2024
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Agresti, A. (author), Veraar, M.C. (author)
In this paper we introduce the critical variational setting for parabolic stochastic evolution equations of quasi- or semi-linear type. Our results improve many of the abstract results in the classical variational setting. In particular, we are able to replace the usual weak or local monotonicity condition by a more flexible local Lipschitz...
journal article 2024
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Agresti, A. (author), Veraar, M.C. (author)
In this paper we study the stochastic Navier–Stokes equations on the d-dimensional torus with transport noise, which arise in the study of turbulent flows. Under very weak smoothness assumptions on the data we prove local well-posedness in the critical case B<sub>q,p</sub><sup>d/q-1</sup> for q∈[2,2d) and p large enough. Moreover, we obtain...
journal article 2024
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Agresti, A. (author)
This paper is concerned with the problem of regularization by noise of systems of reaction–diffusion equations with mass control. It is known that strong solutions to such systems of PDEs may blow-up in finite time. Moreover, for many systems of practical interest, establishing whether the blow-up occurs or not is an open question. Here we...
journal article 2023
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Agresti, A. (author), Veraar, M.C. (author)
In this paper we consider a class of stochastic reaction-diffusion equations. We provide local well-posedness, regularity, blow-up criteria and positivity of solutions. The key novelties of this work are related to the use transport noise, critical spaces and the proof of higher order regularity of solutions – even in case of non-smooth...
journal article 2023
document
Agresti, A. (author), Veraar, M.C. (author)
In this paper we consider L<sup>p</sup>-regularity estimates for solutions to stochastic evolution equations, which is called stochastic maximal L<sup>p</sup>-regularity. Our aim is to find a theory which is analogously to Dore's theory for deterministic evolution equations. He has shown that maximal L<sup>p</sup>-regularity is independent of...
journal article 2020
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