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Mixing with Piecewise Isometries.
~
Park, Paul P.
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Mixing with Piecewise Isometries.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Mixing with Piecewise Isometries./
作者:
Park, Paul P.
出版者:
Ann Arbor : ProQuest Dissertations & Theses, : 2016,
面頁冊數:
167 p.
附註:
Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
Contained By:
Dissertation Abstracts International78-05B(E).
標題:
Applied mathematics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10246235
ISBN:
9781369448511
Mixing with Piecewise Isometries.
Park, Paul P.
Mixing with Piecewise Isometries.
- Ann Arbor : ProQuest Dissertations & Theses, 2016 - 167 p.
Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
Thesis (Ph.D.)--Northwestern University, 2016.
This item is not available from ProQuest Dissertations & Theses.
Mixing of granular materials is an important engineering process, and a very complex problem. In this thesis, I use granular mixing in a half-full biaxial spherical tumbler (BST), a spherical container that rotates sequentially about two orthogonal axes, to motivate the study of mixing with piecewise isometries (PWIs), a rich discrete dynamical system with potential applications in mixing design. The set of rotations for the BST constitutes an iteration, which corresponds to a PWI transformation under simplifying assumptions. Trajectories for singularities of a PWI in the limit of infinite iterations reveal an inherent structure defined as the exceptional set, and we show that its complement comprises non-mixing regions. The measures of different exceptional sets are compared to established measures of mixing, and conditions limiting the dynamics of the BST to that of a PWI are relaxed to understand the impact of a theoretical exceptional set in physical applications for future studies.
ISBN: 9781369448511Subjects--Topical Terms:
2122814
Applied mathematics.
Mixing with Piecewise Isometries.
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