4 citations · 4 across the 6 of their papers we have counts for
3 papers · 2 filters
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…