Semigroups arising from elastic systems with dissipation

被引:18
作者
Xiao, TJ [1 ]
Liang, J [1 ]
机构
[1] KUNMING UNIV SCI & TECHNOL,TEACHING & RES SECT MATH,KUNMING 650093,PEOPLES R CHINA
关键词
semigroup; various properties; elastic system; dissipation; self-adjoint operator;
D O I
10.1016/S0898-1221(97)00072-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate the properties (norm continuity, differentiability, analyticity, and exponential stability) of semigroups arising from elastic systems with dissipation. The resulting theorems are complete (in a sense) extensions of [1, Theorem 1.1] and [2, Theorem 1.1].
引用
收藏
页码:1 / 9
页数:9
相关论文
共 50 条
  • [41] Dissipation of plant protection products from foliage
    Ebeling, Markus
    Wang, Magnus
    ENVIRONMENTAL TOXICOLOGY AND CHEMISTRY, 2018, 37 (07) : 1926 - 1932
  • [42] Asymptotic stability for stochastic elastic systems with damping
    Fan, Hongxia
    Zhang, Xiaoyun
    APPLICABLE ANALYSIS, 2024,
  • [43] Laboratory and field dissipation of penoxsulam, tricyclazole and profoxydim in rice paddy systems
    Tsochatzis, E. D.
    Tzimou-Tsitouridou, R.
    Menkissoglu-Spiroudi, U.
    Karpouzas, D. G.
    Katsantonis, D.
    CHEMOSPHERE, 2013, 91 (07) : 1049 - 1057
  • [44] Environmental Fate and Dissipation of Applied dsRNA in Soil, Aquatic Systems, and Plants
    Bachman, Pamela
    Fischer, Joshua
    Song, Zihong
    Urbanczyk-Wochniak, Ewa
    Watson, Greg
    FRONTIERS IN PLANT SCIENCE, 2020, 11
  • [45] Clortoluron dissipation in clay soil under different tillage systems.
    Mazzoncini, M
    Lorenzi, R
    Risaliti, R
    Sorce, C
    Ginanni, M
    Curadi, M
    HUMAN AND ENVIRONMENTAL EXPOSURE TO XENOBIOTICS, 1999, : 413 - 423
  • [46] Effects of dissipation on quantum phase slippage in charge density wave systems
    Miyake, H
    Matsukawa, H
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (11) : 3891 - 3896
  • [47] Invariant Volume Forms of Variable Dissipation Systems with Three Degrees of Freedom
    Shamolin, M. V.
    DOKLADY MATHEMATICS, 2022, 106 (03) : 479 - 484
  • [48] A Thermodynamically Consistent Model of Quasibrittle Elastic Damaged Materials Based on a Novel Helmholtz Potential and Dissipation Function
    Kaminska, Inez
    Szwed, Aleksander
    MATERIALS, 2021, 14 (21)
  • [49] Invariant Volume Forms of Variable Dissipation Systems with Three Degrees of Freedom
    M. V. Shamolin
    Doklady Mathematics, 2022, 106 : 479 - 484
  • [50] Useful work versus dissipation in weakly coupled systems at different temperatures
    Ritter, OM
    Figueiredo, W
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 353 : 101 - 113