An evolution principle and the existence of entropy. ODE case

被引：4
|
作者：
Alt, HW [1 ]
机构：
[1] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany
来源：
CONTINUUM MECHANICS AND THERMODYNAMICS | 1998年 / 10卷 / 02期
关键词：
ASM Subject Classification: 80A05, 35L65;
D O I：
10.1007/s001610050082
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
We formulate a basic principle, called evolution principle, and show that in the case of an underdetermined ODE it is equivalent to other existing principles, which are the entropy principle and Caratheodory's inaccessibility axiom. In a forthcoming paper we shall formulate the same principle in the PDE case.
引用
收藏
页码：61 / 79
页数：19
相关论文
共 50 条
  • [41] From Social to Educational Entropy. A Reflection on the Colombian Context
    Cardenas Messa, Gustavo Adolfo
    REVISTA EDUCACION, 2020, 44 (01):
  • [42] Atmospheric Entropy. Part I: Climate Dissipation Structure
    Li, Jiangnan
    Chylek, Petr
    JOURNAL OF CLIMATE, 2012, 25 (09) : 3173 - 3190
  • [43] Maximum-entropy principle: ecological organization and evolution
    C. G. Chakrabarti
    Koyel Ghosh
    Journal of Biological Physics, 2010, 36 : 175 - 183
  • [44] Principle of flux entropy conservation for species evolution.
    Queiros-Conde, D
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE A-SCIENCES DE LA TERRE ET DES PLANETES, 2000, 330 (06): : 445 - 449
  • [45] Maximum-entropy principle: ecological organization and evolution
    Chakrabarti, C. G.
    Ghosh, Koyel
    JOURNAL OF BIOLOGICAL PHYSICS, 2010, 36 (02) : 175 - 183
  • [46] Propagation mechanisms in urban canyons. Distorsions and entropy.
    Thirion-Lefevre, Laetitia
    Guinvarc'h, Regis
    Colin-Koeniguer, Elise
    Mokadem, Azza
    10TH EUROPEAN CONFERENCE ON SYNTHETIC APERTURE RADAR (EUSAR 2014), 2014,
  • [47] AN ODE TO RHODE: IN PRINCIPLE AND IN PRACTICE
    Cummings, Scott L.
    FORDHAM LAW REVIEW, 2023, 91 (04) : 1201 - 1208
  • [48] PROPAGATION IN URBAN AREAS. ORIENTATION, PERMITTIVITY AND ENTROPY.
    Guinvarc'h, Regis
    Thirion-Lefevre, Laetitia
    2015 IEEE INTERNATIONAL GEOSCIENCE AND REMOTE SENSING SYMPOSIUM (IGARSS), 2015, : 1594 - 1597
  • [49] Outline of a theory of organic chemistry founded on the law of entropy.
    Michael, A
    JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1910, 32 : 990 - 1007
  • [50] Comparison of feature ranking methods based on information entropy.
    Duch, W
    Wieczorek, T
    Biesiada, J
    Blachnik, M
    2004 IEEE INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS, VOLS 1-4, PROCEEDINGS, 2004, : 1415 - 1419
12345