4 citations · 4 across the 6 of their papers we have counts for
6 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…
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…
A geophysical free-boundary system modeling an ice-sheet interacting with an ocean
Matthias Hieber, Igor Kukavica, Amjad Tuffaha +1
We consider a free-boundary model for the ice-sheet interacting with an ocean. The model captures the coupling between a viscous geophysical fluid and an elastic interface through…
On the Singular Limit in Hibler's Sea Ice Model
Robert Denk, Franz Gmeineder, Matthias Hieber
We establish the existence of energy-driven solutions to the momentum balance equation in Hibler's sea ice model. As a main novelty and different from previous results, we deal wit…
Free Boundary Problems via Da Prato-Grisvard Theory
Raphaël Danchin, Matthias Hieber, Piotr B. Mucha +1
An -maximal regularity theory for parabolic evolution equations inspired by the pioneering work of Da Prato and Grisvard is developed. Besides of its own interest, th…