Point vortex dynamics as zero-radius limit of the motion of a rigid body in an irrotational fluid
The point vortex system is usually considered as an idealized model where the vorticity of an
ideal incompressible two-dimensional fluid is concentrated in a finite number of moving …
ideal incompressible two-dimensional fluid is concentrated in a finite number of moving …
Shallow water waves generated by a floating object: a control theoretical perspective
We consider a control system describing the interaction of water waves with a partially
immersed rigid body constraint to move only in the vertical direction. The fluid is modeled by …
immersed rigid body constraint to move only in the vertical direction. The fluid is modeled by …
Existence of weak solutions to the two-dimensional incompressible Euler equations in the presence of sources and sinks
A classical model for sources and sinks in a two-dimensional perfect incompressible fluid
occupying a bounded domain dates back to Yudovich's paper [44] in 1966. In this model, on …
occupying a bounded domain dates back to Yudovich's paper [44] in 1966. In this model, on …
Exact controllability to the trajectories of the one-phase Stefan problem
JA Bárcena-Petisco, E Fernández-Cara… - Journal of Differential …, 2023 - Elsevier
This paper deals with the boundary exact controllability to the trajectories of the one-phase
Stefan problem in one spatial dimension. This is a free-boundary problem that models …
Stefan problem in one spatial dimension. This is a free-boundary problem that models …
Dynamics of rigid bodies in a two dimensional incompressible perfect fluid
We consider the motion of several rigid bodies immersed in a two-dimensional
incompressible perfect fluid, the whole system being bounded by an external impermeable …
incompressible perfect fluid, the whole system being bounded by an external impermeable …
[HTML][HTML] Control at a distance of the motion of a rigid body immersed in a two-dimensional viscous incompressible fluid
JJ Kolumbán - Journal of Differential Equations, 2020 - Elsevier
We consider the motion of a rigid body immersed in a two-dimensional viscous
incompressible fluid with Navier slip-with-friction conditions at the solid boundary. The fluid …
incompressible fluid with Navier slip-with-friction conditions at the solid boundary. The fluid …
Geometric nonlinear analysis based on the generalized displacement control method and orthogonal iteration
L Li - Nonlinear Engineering, 2024 - degruyter.com
In response to the shortcomings of insufficient efficiency in calculating geometric nonlinear
features and high environmental impact in the current construction, this study explores the …
features and high environmental impact in the current construction, this study explores the …
Remote trajectory tracking of rigid bodies immersed in a two-dimensional perfect incompressible fluid
We consider the motion of several rigid bodies immersed in a two-dimensional
incompressible perfect fluid, the whole system occupying a bounded simply connected …
incompressible perfect fluid, the whole system occupying a bounded simply connected …
Exact controllability of the vortex system by means of a single vortex
J Dorsz, O Glass - SIAM Journal on Control and Optimization, 2023 - SIAM
In this paper, we investigate the controllability of the point vortex system by means of a
single vortex. The point vortex system is a well-known simplified model for the …
single vortex. The point vortex system is a well-known simplified model for the …
Stabilization of the systems describing water waves and their interaction with a floating object
P Su - 2021 - theses.hal.science
This work is devoted to studying the controllability and stabilizability properties of the control
model coming from water waves problem and floating body system in a bounded domain …
model coming from water waves problem and floating body system in a bounded domain …