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008181129s2018 ||| | | | eng d
020 ▼a 9780438349834
035 ▼a (MiAaPQ)AAI10843288
035 ▼a (MiAaPQ)unc:18106
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 248032
0491 ▼f DP
0820 ▼a 510
1001 ▼a Yang, Caroline.
24510 ▼a Analysis of Monotone and Non-monotone Traveling Waves in a System for Social Outbursts.
260 ▼a [S.l.] : ▼b The University of North Carolina at Chapel Hill., ▼c 2018
260 1 ▼a Ann Arbor : ▼b ProQuest Dissertations & Theses, ▼c 2018
300 ▼a 134 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
500 ▼a Adviser: Nancy Rodriguez.
5021 ▼a Thesis (Ph.D.)--The University of North Carolina at Chapel Hill, 2018.
520 ▼a Rioting events in the last several years in the United States, such as the Ferguson riots of 2014 and the Baltimore riots of 2015, captured the attention of the entire nation and have increased scrutiny of racial and social tension. The strength
520 ▼a To prove the existence and stability of the traveling wave solutions, we use existence and stability theory for monotone systems. In the case of parameter values that yield a non-monotone system, we establish the stability of traveling wave solu
520 ▼a In addition to proofs for the existence and stability of these traveling wave solutions, we provide a thorough exploration of different parameter regimes for the system, including an analysis of the stability of stationary points for the spatial
590 ▼a School code: 0153.
650 4 ▼a Mathematics.
690 ▼a 0405
71020 ▼a The University of North Carolina at Chapel Hill. ▼b Mathematics.
7730 ▼t Dissertation Abstracts International ▼g 80-01B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0153
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T14999920 ▼n KERIS
980 ▼a 201812 ▼f 2019
990 ▼a 관리자 ▼b 관리자