8 papers
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…
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.…
Continuous Data Assimilation for Semilinear Parabolic Equations: A General Approach by Evolution Equations
Gianmarco Del Sarto, Matthias Hieber, Filippo Palma +1
This article develops a general framework for continuous deterministic data assimilation for semilinear parabolic equations by means of evolution equations. Introducing a nudged mo…
Time-periodic solutions to an energy balance model coupled with an active fluid under arbitrary large forces
Gianmarco Del Sarto, Matthias Hieber, Filippo Palma +1
This article concerns time-periodic solutions to a two-dimensional Sellers-type energy balance model coupled to the three-dimensional primitive equations via a dynamic boundary con…