11 papers
Stochastically forced Navier-Stokes equations interacting with an elastic structure
Felix Brandt, Matthias Hieber, Arnab Roy
We prove global-in-time strong pathwise well-posedness for a stochastic fluid-structure interaction problem coupling a two-dimensional incompressible Navier-Stokes fluid to a one-d…
Strong well-posedness of a fluid--poro-viscoelastic interaction problem: An approach by Spectral analysis
Tim Binz, Matthias Hieber, Arnab Roy
This article investigates a coupled viscoelastic Navier--Stokes--Biot system describing the interaction between an incompressible viscous fluid and a poro--viscoelastic medium in t…
The Asymptotic Behaviour of Oldroyd-B Fluids is Almost Newtonian
Matthias Hieber, Thieu Huy Nguyen, César J. Niche +1
Consider a viscoelastic fluid of Oldroyd-B type. It is shown that its stress tensor and its Newtonian deformation tensor decay at the same rate, while the elastic part…
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…
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…