4 papers
Well-posedness and long time dynamics for a quasi-geostrophic ocean-atmosphere model with radiation balance
Federico Fornasaro, Tobias Kuna, Giulia Carigi
We investigate a coupled atmosphere-ocean model including the mechanical and thermodynamical interaction between the two fluids for the mid-latitudes. The formulation combines a mu…
Markov matrix perturbations to optimize dynamical and entropy functionals
Manuel Santos Gutierrez, Niccolo Zagli, Giulia Carigi
An important problem in applied dynamical systems is to compute the external forcing that provokes the largest response of a desired observable quantity. For this, we investigate t…
Reconstruction of wide spectrum forcing in transport-diffusion and Navier-Stokes equations
Jochen Bröcker, Giulia Carigi, Tobias Kuna +1
This article considers the problem of reconstructing unknown driving forces based on incomplete knowledge of the system and its state. This is studied in both a linear and nonlinea…
Linear and fractional response for nonlinear dissipative SPDEs
Giulia Carigi, Tobias Kuna, Jochen Bröcker
A framework to establish response theory for a class of nonlinear stochastic partial differential equations (SPDEs) is provided. More specifically, it is shown that for a certain c…