34 citations · 40 across the 7 of their papers we have counts for
7 papers
I'm a doctor, not a mathematician! Homeostasis as a proportional-integral control system
Lennaert van Veen, Jacob Morra, Adam Palanica +1
The distinction between "healthy" and "unhealthy" patients is commonly based on single, discrete values taken at an isolated point in time (e.g., blood pressure or core temperature…
Spontaneous periodic orbits in the Navier-Stokes flow
Jan Bouwe van den Berg, Maxime Breden, Jean-Philippe Lessard +1
In this paper, a general method to obtain constructive proofs of existence of periodic orbits in the forced autonomous Navier-Stokes equations on the three-torus is proposed. After…
Saddle-node--transcritical interactions in a stressed predator-prey-nutrient system
Lennaert van Veen, Marvin Hoti
We examine the interaction of transcritical and saddle-node bifurcations in a predator-prey-nutrient system that is stressed by the presence of a toxicant affecting the prey. This…
A brief history of simple invariant solutions in turbulence
Lennaert van Veen
When studying fluid mechanics in terms of instability, bifurcation and invariant solutions one quickly finds out how little can be done by pen and paper. For flows on sufficiently…
Periodic orbits in Large Eddy Simulation of Box Turbulence
Lennaert van Veen, Alberto Vela Martin, Genta Kawahara +1
We describe and compare two time-periodic flows embedded in Large Eddy Simulation (LES) of turbulence in a three-dimensional, periodic domain subject to constant external forcing.…
The quasi-periodic doubling cascade in the transition to weak turbulence
Lennaert van Veen
The quasi-periodic doubling cascade is shown to occur in the transition from regular to weakly turbulent behaviour in simulations of incompressible Navier-Stokes flow on a three-pe…