6 papers · 1 filter
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…
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…
Dynamic boundary conditions with noise for energy balance models coupled to geophysical flows
Gianmarco Del Sarto, Matthias Hieber, Tarek Zöchling
This article investigates an energy balance model coupled to the primitive equations by a dynamic boundary condition with and without noise on the boundary. It is shown that this s…