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pro vyhledávání: '"La Haye, R."'
Nonlinear extended MHD simulations demonstrating seeding of neoclassical tearing modes (NTMs) via MHD-transient-induced multimode interactions are presented. Simulations of NTMs are enabled by two recent NIMROD code developments: the implementation o
Externí odkaz:
http://arxiv.org/abs/2110.12068
Autor:
Choi, Wilkie, La Haye, R. J., Lanctot, M. J., Olofsson, K. E. J., Strait, E. J., Sweeney, R., Volpe, F. A.
The toroidal phase and rotation of otherwise locked magnetic islands of toroidal mode number n=1 are controlled in the DIII-D tokamak by means of applied magnetic perturbations of n=1. Pre-emptive perturbations were applied in feedforward to "catch"
Externí odkaz:
http://arxiv.org/abs/1801.05012
Akademický článek
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Autor:
Sweeney, R., Choi, W., La Haye, R. J., Mao, S., Olofsson, K. E. J., Volpe, F. A., Team, the DIII-D
A database has been developed to study the evolution, the nonlinear effects on equilibria, and the disruptivity of locked and quasi-stationary modes with poloidal and toroidal mode numbers $m=2$ and $n=1$ at DIII-D. The analysis of 22,500 discharges
Externí odkaz:
http://arxiv.org/abs/1606.04183
This paper presents a new variation of Tverberg's theorem. Given a discrete set $S$ of $R^d$, we study the number of points of $S$ needed to guarantee the existence of an $m$-partition of the points such that the intersection of the $m$ convex hulls
Externí odkaz:
http://arxiv.org/abs/1603.05525
We prove variations of Carath\'eodory's, Helly's and Tverberg's theorems where the sets involved are measured according to continuous functions such as the volume or diameter. Among our results, we present continuous quantitative versions of Lov\'asz
Externí odkaz:
http://arxiv.org/abs/1603.05523
Autor:
Volpe, F. A., Hyatt, A., La Haye, R. J., Lanctot, M. J., Lohr, J., Prater, R., Strait, E. J., Welander, A.
Publikováno v:
Phys. Rev. Lett. 115, 175002 (2015)
Non-rotating (`locked') magnetic islands often lead to complete losses of confinement in tokamak plasmas, called major disruptions. Here locked islands were suppressed for the first time, by a combination of applied three-dimensional magnetic fields
Externí odkaz:
http://arxiv.org/abs/1510.08932
We study $S$-convex sets, which are the geometric objects obtained as the intersection of the usual convex sets in $\mathbb R^d$ with a proper subset $S\subset \mathbb R^d$. We contribute new results about their $S$-Helly numbers. We extend prior wor
Externí odkaz:
http://arxiv.org/abs/1508.02380
The scenario approach developed by Calafiore and Campi to attack chance-constrained convex programs utilizes random sampling on the uncertainty parameter to substitute the original problem with a representative continuous convex optimization with $N$
Externí odkaz:
http://arxiv.org/abs/1504.00076
This paper presents sixteen quantitative versions of the classic Tverberg, Helly, & Caratheodory theorems in combinatorial convexity. Our results include measurable or enumerable information in the hypothesis and the conclusion. Typical measurements
Externí odkaz:
http://arxiv.org/abs/1503.06116