4 papers
A parsimonious model of blood glucose homeostasis
Eric Ng, Jaycee Morgan Kaufman, Lennaert van Veen +1
The mathematical modelling of biological systems has historically followed one of two approaches: comprehensive and minimal. In comprehensive models, the involved biological pathwa…
Transitions in large eddy simulation of box turbulence
Lennaert van Veen, Genta Kawahara, Tatsuya Yasuda
One promising decomposition of turbulent dynamics is that into building blocks such as equilibrium and periodic solutions and orbits connecting these. While the numerical approxima…
Hidden symmetry in a Kuramoto-Sivashinsky initial-boundary value problem
Pietro-Luciano Buono, Lennaert van Veen, Eryn Frawley
We investigate the bifurcation structure of the Kuramoto-Sivashinsky equation with homogeneous Dirichlet boundary conditions. Using hidden symmetry principles, based on an extended…
Sub critical transition to turbulence in three-dimensional Kolmogorov flow
Lennaert van Veen, Susumu Goto
We study Kolmogorov flow on a three dimensional, periodic domain with aspect ratios fixed to unity. Using an energy method, we give a concise proof of the linear stability of the l…