2 citations · 2 across the 3 of their papers we have counts for
5 papers
Applications of vortex gas models to tornadogenesis and maintenance
Pavel Bělík, Douglas P. Dokken, Corey K. Potvin +2
Processes related to the production of vorticity in the forward and rear flank downdrafts and their interaction with the boundary layer are thought to play a role in tornadogenesis…
Analysis of Laguerre's method applied to find the roots of unity
Pavel Bělík, HeeChan Kang, Andrew Walsh +1
Previous analyses of Laguerre's method have provided results on the convergence and properties of this popular method when applied to the polynomials , $n\in\mathbb{N…
Possible Implications of a Vortex Gas Model and Self-Similarity for Tornadogenesis and Maintenance
Douglas P. Dokken, Kurt Scholz, Mikhail M. Shvartsman +4
We describe tornadogenesis and maintenance using the 3-dimensional vortex gas model presented in Chorin (1994) and developed further in Flandoli and Gubinelli (2002). We suggest th…
Fractal powers in Serrin's swirling vortex solutions
Pavel Bělík, Douglas P. Dokken, Kurt Scholz +1
We consider a modification of the fluid flow model for a tornado-like swirling vortex developed by J. Serrin, where velocity decreases as the reciprocal of the distance from the vo…
Analysis of the quasi-nonlocal approximation of linear and circular chains in the plane
Pavel Belik, Mitchell Luskin
We give an analysis of the stability and displacement error for linear and circular atomistic chains in the plane when the atomistic energy is approximated by the Cauchy-Born conti…