22 citations · 104 across the 14 of their papers we have counts for
9 papers · 1 filter
On Leonardo da Vinci's paradox
Björn Gebhard, Lukas Niebel, Christian Seis
Buoyancy points straight upward, yet in the absence of external forces, a rising air bubble may trace a spiral through the water. This phenomenon was already observed by Leonardo d…
The Rayleigh-Taylor instability with local energy dissipation
Björn Gebhard, József J. Kolumbán
We consider the inhomogeneous incompressible Euler equations including their local energy inequality as a differential inclusion. Providing a corresponding convex integration theor…
On the energy-constrained optimal mixing problem for one-dimensional initial configurations
Björn Gebhard
We consider the problem of mixing a passive scalar in a periodic box by incompressible vector fields subject to a fixed energy constraint. In that setting a lower bound for the tim…
Entropy solutions to macroscopic IPM
Ángel Castro, Daniel Faraco, Björn Gebhard
We investigate maximal potential energy dissipation as a selection criterion for subsolutions (coarse grained solutions) in the setting of the unstable Muskat problem. We show that…
On a degenerate elliptic problem arising in the least action principle for Rayleigh-Taylor subsolutions
Björn Gebhard, Jonas Hirsch, József J. Kolumbán
We address a degenerate elliptic variational problem arising in the application of the least action principle to averaged solutions of the inhomogeneous Euler equations in Boussine…
On bounded two-dimensional globally dissipative Euler flows
Björn Gebhard, József J. Kolumbán
We examine the two-dimensional Euler equations including the local energy (in)equality as a differential inclusion and show that the associated relaxation essentially reduces to th…
Relaxation of the Boussinesq system and applications to the Rayleigh-Taylor instability
Björn Gebhard, József J. Kolumbán
We consider the evolution of two incompressible fluids with homogeneous densities subject to gravity described by the inviscid Boussinesq equations and provide the explic…
A general way to confined stationary Vlasov-Poisson plasma configurations
Yulia O. Belyaeva, Björn Gebhard, Alexander L. Skubachevskii
We address the existence of stationary solutions of the Vlasov-Poisson system on a domain describing a high-temperature plasma which due to the influence of…
A new approach to the Rayleigh-Taylor instability
Björn Gebhard, József J. Kolumbán, László Székelyhidi
In this article we consider the inhomogeneous incompressible Euler equations describing two fluids with different constant densities under the influence of gravity as a differentia…