9 papers
Continuous Data Assimilation for the 2D Navier-Stokes Equations from Partial Tangential Boundary Observations
Gianmarco Del Sarto, Buddhika Priyasad
We study continuous data assimilation for the two-dimensional Navier--Stokes equations on a smooth, bounded, connected domain with Navier-slip boundary conditions, using no interio…
Continuous Data Assimilation for Semilinear Parabolic Equations with Multiplicative Observation Noise
Jochen Bröcker, Gianmarco Del Sarto, Matthias Hieber +2
The problem of continuous data assimilation for semilinear parabolic equations based on partial observations corrupted by noise is investigated. The noise is allowed to be multipli…
Noise-Driven Free Boundaries In The Compressible Navier-Stokes Equations
Gianmarco Del Sarto, Matthias Hieber, Tarek Zöchling
A stochastic free-boundary problem for the three-dimensional barotropic compressible Navier--Stokes equations is studied. The main feature of the model is that the free boundary is…
Optimal response for stochastic differential equations in with perturbations on the drift term
Gianmarco Del Sarto, Franco Flandoli, Stefano Galatolo +2
We study stochastic differential equations on the -dimensional flat torus with drift and perturbation coefficients in and…
Global well-posedness for small data in a 3D temperature-velocity model with Dirichlet boundary noise
Gianmarco Del Sarto, Marta Lenzi
We study a three-dimensional Boussinesq-type temperature-velocity system on a bounded smooth domain , where the velocity solves the Na…
A Multiplicative-Noise Mechanism for Variability Amplification under Radiative Forcing in an Arctic Energy-Balance Model
Gianmarco Del Sarto, Franco Flandoli, Marta Lenzi
We propose and analyse a mechanism by which -driven radiative forcing can increase Arctic temperature variability in a stochastic Sellers-type energy-balance model.…