9 papers
Moisture Dynamics with Phase Changes in a Compressible Hydrostatic Atmosphere
Lin Ma, Tarek Zöchling
In this article, a rigorous well-posedness result is established for a moist compressible primitive-equation system with phase changes. The model couples the compressible primitive…
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…
Global Strong Well-posedness of the heat-conducting, compressible primitive Equations
Tarek Zöchling
The full heat-conducting compressible primitive equations are considered, extending the compressible primitive-equation framework by coupling the temperature through the ideal gas…
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…
Moisture dynamics with phase changes coupled to heat-conducting, compressible fluids
Felix Brandt, Matthias Hieber, Lin Ma +1
It is shown that a model coupling the heat-conducting compressible Navier-Stokes equations to a micro-physics model of moisture in air is locally strongly well-posed for large data…
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…
Global strong well-posedness of the CAO-problem introduced by Lions, Temam and Wang
Tim Binz, Felix Brandt, Matthias Hieber +1
Consider the CAO-problem introduced by Lions, Temam and Wang, which concerns a system of two fluids described by two primitive equations coupled by fully nonlinear interface condit…
The Lagrangian approach to the compressible primitive equations
Matthias Hieber, Yoshiki Iida, Arnab Roy +1
This article develops the hydrostatic Lagrangian approach to the compressible primitive equations. A fundamental aspect in the analysis is the investigation of the compressible hyd…