Torsional rigidity, isospectrality and quantum graphs

被引:2
|
作者
Colladay, Don [1 ]
Kaganovskiy, Leon [2 ]
McDonald, Patrick [1 ]
机构
[1] New Coll Florida, Div Nat Sci, Sarasota, FL 34243 USA
[2] Touro Coll, Dept Math, Brooklyn, NY USA
关键词
quantum graphs; torsional rigidity; heat content; isospectral; HEAT-CONTENT; METRIC GRAPHS; DOMAINS; TRACE;
D O I
10.1088/1751-8121/50/3/035201
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study torsional rigidity for graph and quantum graph analogs of wellknown pairs of isospectral non-isometric planar domains. We prove that such isospectral pairs are distinguished by torsional rigidity.
引用
收藏
页数:15
相关论文
共 50 条
  • [11] Torsional Rigidity of the Advanced Actuator
    Zou Changping
    APPLIED MECHANICS AND MECHANICAL ENGINEERING, PTS 1-3, 2010, 29-32 : 2416 - 2421
  • [12] The Torsional Rigidity of a Rectangular Prism
    Tsai, Cho-Liang
    Wang, Chih-Hsing
    Hwang, Sun-Fa
    Chen, Wei-Tong
    Cheng, Chin-Yi
    MATHEMATICS, 2022, 10 (13)
  • [13] The optimal problems for torsional rigidity
    Yang, Jin
    Wei, Zhenzhen
    AIMS MATHEMATICS, 2021, 6 (05): : 4597 - 4613
  • [14] Embedding theorems related to torsional rigidity and principal frequency
    Avkhadiev, F. G.
    IZVESTIYA MATHEMATICS, 2022, 86 (01) : 1 - 31
  • [15] Torsional rigidity of harmonic gear drives
    Timofeev G.A.
    Kostikov Y.V.
    Timofeev, G.A. (timga@bmstu.ru), 1600, Allerton Press Incorporation (36): : 995 - 998
  • [16] Torsional rigidity of freewheel mechanisms in drives
    Sharkov O.V.
    Koryagin S.I.
    Kalinin A.V.
    Russian Engineering Research, 2017, 37 (11) : 954 - 956
  • [17] Torsional Rigidity for Regions with a Brownian Boundary
    M. van den Berg
    E. Bolthausen
    F. den Hollander
    Potential Analysis, 2018, 48 : 375 - 403
  • [18] Torsional rigidity of cotton hosiery yarns
    Banerjee, PK
    Bhat, P
    INDIAN JOURNAL OF FIBRE & TEXTILE RESEARCH, 2005, 30 (02) : 136 - 141
  • [19] A Generalization of the Polia-Szego and Makai Inequalities for Torsional Rigidity
    Gafiyatullina, L., I
    Salakhudinov, R. G.
    RUSSIAN MATHEMATICS, 2021, 65 (11) : 76 - 80
  • [20] Optimal Fiber Configurations for Maximum Torsional Rigidity
    Robert Lipton
    Archive for Rational Mechanics and Analysis, 1998, 144 : 79 - 106