SOME REMARKS ON THE FRACTIONAL CATTANEO-MAXWELL EQUATION FOR THE HEAT PROPAGATION

被引:6
作者
Fabrizio, Mauro [1 ]
机构
[1] Univ Bologna, Dept Math, I-40127 Bologna, Italy
关键词
fractional calculus; thermodynamics; partial differential equations; free energy; DISSIPATION; MODELS;
D O I
10.1515/fca-2015-0061
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
With this short note, I would like to clarify some of the results contained in our previous paper [5]: M. Fabrizio, Fractional rheological models for thermomechanical systems. Dissipation and free energies. Fract. Calc. Appl. Anal. 17, No 1 (2014), 206-223; DOI: 10.2478/s13540-014-0163-7; http://www.degruyter.com/view/j/fca.2014.17.issue-1/issue-files/fca.2014.17.issue-1.xml, concerning the thermodynamic conditions for fractional models of heat propagation, which generalize the classical Cattaneo-Maxwell and Fourier laws.
引用
收藏
页码:1074 / 1079
页数:6
相关论文
共 5 条
[1]   LINEAR MODELS OF DISSIPATION WHOSE Q IS ALMOST FREQUENCY INDEPENDENT-2 [J].
CAPUTO, M .
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1967, 13 (05) :529-&
[2]  
Caputo M., 1995, Annali dellUniversita di Ferrara, V41, P73, DOI [10.1007/BF02826009, DOI 10.1007/BF02826009]
[3]  
Cattaneo C., 1948, ATTI SEMIN MAT FIS, V3, P83
[5]   Thermodynamics of non-local materials: extra fluxes and internal powers [J].
Fabrizio, Mauro ;
Lazzari, Barbara ;
Nibbi, Roberta .
CONTINUUM MECHANICS AND THERMODYNAMICS, 2011, 23 (06) :509-525