Search Results - "Flandoli, Franco"
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High mode transport noise improves vorticity blow-up control in 3D Navier–Stokes equations
Published in Probability theory and related fields (01-06-2021)“…The paper is concerned with the problem of regularization by noise of 3D Navier–Stokes equations. As opposed to several attempts made with additive noise which…”
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2
From additive to transport noise in 2D fluid dynamics
Published in Stochastic partial differential equations : analysis and computations (01-09-2022)“…Additive noise in Partial Differential equations, in particular those of fluid mechanics, has relatively natural motivations. The aim of this work is showing…”
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3
2D Euler Equations with Stratonovich Transport Noise as a Large-Scale Stochastic Model Reduction
Published in Journal of nonlinear science (01-02-2021)“…The limit from an Euler-type system to the 2D Euler equations with Stratonovich transport noise is investigated. A weak convergence result for the vorticity…”
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Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier–Stokes equations
Published in Journal of evolution equations (01-03-2021)“…We consider a family of stochastic 2D Euler equations in vorticity form on the torus, with transport-type noises and L 2 -initial data. Under a suitable…”
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Multidimensional stochastic differential equations with distributional drift
Published in Transactions of the American Mathematical Society (01-03-2017)“…This paper investigates a time-dependent multidimensional stochastic differential equation with drift being a distribution in a suitable class of Sobolev…”
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Markov selections for the 3D stochastic Navier–Stokes equations
Published in Probability theory and related fields (01-03-2008)“…We investigate the Markov property and the continuity with respect to the initial conditions (strong Feller property) for the solutions to the Navier–Stokes…”
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7
2D Smagorinsky-Type Large Eddy Models as Limits of Stochastic PDEs
Published in Journal of nonlinear science (01-06-2024)“…We prove that a version of Smagorinsky large eddy model for a 2D fluid in vorticity form is the scaling limit of suitable stochastic models for large scales,…”
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On the Infinite Dimension Limit of Invariant Measures and Solutions of Zeitlin’s 2D Euler Equations
Published in Journal of statistical physics (01-12-2022)“…In this work we consider a finite dimensional approximation for the 2D Euler equations on the sphere S 2 , proposed by V. Zeitlin, and show their convergence…”
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9
Heat diffusion in a channel under white noise modeling of turbulence
Published in Mathematics in engineering (01-06-2022)“…A passive scalar equation for the heat diffusion and transport in an infinite channel is studied. The velocity field is white noise in time, modelling…”
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10
Stochastic Modelling of Small-Scale Perturbation
Published in Water (Basel) (01-10-2020)“…In this paper we propose a stochastic model reduction procedure for deterministic equations from geophysical fluid dynamics. Once large-scale and small-scale…”
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11
On the Relation Between the Girsanov Transform and the Kolmogorov Equations for SPDEs
Published in Potential analysis (01-12-2022)“…The Girsanov transform and Kolmogorov equations are two useful methods for studying SPDEs. It is shown that, under suitable conditions, the series expansion…”
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Stochastic model reduction: convergence and applications to climate equations
Published in Journal of evolution equations (01-12-2021)“…We study stochastic model reduction for evolution equations in infinite-dimensional Hilbert spaces and show the convergence to the reduced equations via…”
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13
The Navier–Stokes–Vlasov–Fokker–Planck System as a Scaling Limit of Particles in a Fluid
Published in Journal of mathematical fluid mechanics (01-05-2021)“…Convergence of a system of particles, interacting with a fluid, to Navier–Stokes–Vlasov–Fokker–Planck system is studied. The interaction between particles and…”
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14
Data analysis of the unsteadily accelerating GPS and seismic records at Campi Flegrei caldera from 2000 to 2020
Published in Scientific reports (10-11-2022)“…Ongoing resurgence affects Campi Flegrei caldera (Italy) via bradyseism, i.e. a series of ground deformation episodes accompanied by increases in shallow…”
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Stochastic Three-Dimensional Rotating Navier–Stokes Equations: Averaging, Convergence and Regularity
Published in Archive for rational mechanics and analysis (01-07-2012)“…We consider stochastic three-dimensional rotating Navier–Stokes equations and prove averaging theorems for stochastic problems in the case of strong rotation…”
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Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure
Published in Stochastic partial differential equations : analysis and computations (01-06-2021)“…The 2D Euler equations with random initial condition has been investigates by Albeverio and Cruzeiro (Commun Math Phys 129:431–444, 1990 ) and other authors…”
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The Effects of Vent Location, Event Scale, and Time Forecasts on Pyroclastic Density Current Hazard Maps at Campi Flegrei Caldera (Italy)
Published in Frontiers in earth science (Lausanne) (12-09-2017)“…This study presents a new method for producing long-term hazard maps for pyroclastic density currents (PDC) originating at Campi Flegrei caldera. Such method…”
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18
Weak vorticity formulation of 2D Euler equations with white noise initial condition
Published in Communications in partial differential equations (03-07-2018)“…The 2D Euler equations with random initial condition distributed as a certain Gaussian measure are considered. The theory developed by S. Albeverio and A.-B…”
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Martingale and stationary solutions for stochastic Navier-Stokes equations
Published in Probability theory and related fields (01-09-1995)Get full text
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CONVERGENCE OF TRANSPORT NOISE TO ORNSTEIN–UHLENBECK FOR 2D EULER EQUATIONS UNDER THE ENSTROPHY MEASURE
Published in The Annals of probability (01-01-2020)“…We consider the vorticity form of the 2D Euler equations which is perturbed by a suitable transport type noise and has white noise initial condition. It is…”
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