Zobrazeno 1 - 10
of 94
pro vyhledávání: '"van Veen, Lennaert"'
The mathematical modelling of biological systems has historically followed one of two approaches: comprehensive and minimal. In comprehensive models, the involved biological pathways are modelled independently, then brought together as an ensemble of
Externí odkaz:
http://arxiv.org/abs/2111.07181
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). Perhaps a more robust and insightful diagnosis can be obtained by s
Externí odkaz:
http://arxiv.org/abs/1912.13148
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 introducing a zero finding problem posed on a Banach space of geometr
Externí odkaz:
http://arxiv.org/abs/1902.00384
Publikováno v:
In Mayo Clinic Proceedings: Digital Health June 2023 1(2):189-200
Publikováno v:
Phys. Rev. Lett. 123, 134502 (2019)
We present an unstable periodic orbit in large eddy simulation of an incompressible fluid in a periodic box subject to a constant body force. The width of the inertial range of spatial scales, on which this simulation models high-Reynolds-number turb
Externí odkaz:
http://arxiv.org/abs/1809.08649
Autor:
van Veen, Lennaert, Hoti, Marvin
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 model, formulated by Kooi et al. ({\sl Ecol. Model.} {\bf 212}(2008),
Externí odkaz:
http://arxiv.org/abs/1809.00108
Autor:
van Veen, Lennaert
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 simple domains and under sufficiently simple boundary conditions, one
Externí odkaz:
http://arxiv.org/abs/1804.02346
Publikováno v:
Fluid Dynamics Research 38(1), 19-46, 2006
Temporally periodic solutions are extracted numerically from forced box turbulence with high symmetry. Since they are unstable to small perturbations, they are not found by forward integration but can be captured by Newton-Raphson iterations. Several
Externí odkaz:
http://arxiv.org/abs/1804.00547
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. One of these flows models the regeneration of large-scale structures t
Externí odkaz:
http://arxiv.org/abs/1802.00845
One promising decomposition of turbulent dynamics is that into building blocks such as equilibrium and periodic solutions and orbits connecting these. While the numerical approximation of such building blocks is feasible for flows in small domains an
Externí odkaz:
http://arxiv.org/abs/1711.02289