4 papers · 1 filter
The large deviation principle for the stochastic 3D primitive equations with transport noise
Antonio Agresti, Esmée Theewis
We prove the small-noise large deviation principle for the three-dimensional primitive equations with transport noise and turbulent pressure. Transport noise is important for geoph…
A stochastic flow approach to De Giorgi-Nash-Moser estimates for SPDEs with smooth transport noise
Antonio Agresti, Max Sauerbrey, Mark Veraar
The celebrated De Giorgi-Nash-Moser theory ensures that solutions to uniformly elliptic or parabolic PDEs are bounded and Hölder continuous, even with merely bounded measurable coe…
Lagrangian chaos and unique ergodicity for stochastic primitive equations
Antonio Agresti
We show that the Lagrangian flow associated with the stochastic 3D primitive equations (PEs) with non-degenerate noise is chaotic, i.e., the corresponding top Lyapunov exponent is…
Nonlinear SPDEs and Maximal Regularity: An Extended Survey
Antonio Agresti, Mark Veraar
In this survey, we provide an in-depth exposition of our recent results on the well-posedness theory for stochastic evolution equations, employing maximal regularity techniques. Th…