22 citations · 48 across the 5 of their papers we have counts for
6 papers
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…
Remote trajectory tracking of rigid bodies immersed in a 2D perfect incompressible fluid
Olivier Glass, József Kolumbán, Franck Sueur
We consider the motion of several rigid bodies immersed in a two-dimensional incompressible perfect fluid. The motion of the rigid bodies is given by the Newton laws with forces du…
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…
Control at a distance of the motion of a rigid body immersed in a two-dimensional viscous incompressible fluid
József Kolumbán
We consider the motion of a rigid body immersed in a two-dimensional viscous incompressible fluid with Navierslip-with-friction conditions at the solid boundary. The fluid-solid sy…
External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid
Olivier Glass, József Kolumbán, Franck Sueur
We consider the motion of a rigid body due to the pressure of a surrounded two-dimensional irrotational perfect incompressible fluid, the whole system being confined in a bounded d…