Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
@article{BUMI_2010_9_3_3_a1, author = {Amendola, Giovambattista and Carillo, Sandra and Manes, Adele}, title = {Classical {Free} {Energies} of a {Heat} {Conductor} with {Memory} and the {Minimum} {Free} {Energy} for its {Discrete} {Spectrum} {Model}}, journal = {Bollettino della Unione matematica italiana}, pages = {421--446}, publisher = {mathdoc}, volume = {Ser. 9, 3}, number = {3}, year = {2010}, zbl = {1216.35150}, mrnumber = {2742775}, language = {en}, url = {http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_3_a1/} }
TY - JOUR AU - Amendola, Giovambattista AU - Carillo, Sandra AU - Manes, Adele TI - Classical Free Energies of a Heat Conductor with Memory and the Minimum Free Energy for its Discrete Spectrum Model JO - Bollettino della Unione matematica italiana PY - 2010 SP - 421 EP - 446 VL - 3 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_3_a1/ LA - en ID - BUMI_2010_9_3_3_a1 ER -
%0 Journal Article %A Amendola, Giovambattista %A Carillo, Sandra %A Manes, Adele %T Classical Free Energies of a Heat Conductor with Memory and the Minimum Free Energy for its Discrete Spectrum Model %J Bollettino della Unione matematica italiana %D 2010 %P 421-446 %V 3 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_3_a1/ %G en %F BUMI_2010_9_3_3_a1
Amendola, Giovambattista; Carillo, Sandra; Manes, Adele. Classical Free Energies of a Heat Conductor with Memory and the Minimum Free Energy for its Discrete Spectrum Model. Bollettino della Unione matematica italiana, Série 9, Tome 3 (2010) no. 3, pp. 421-446. http://geodesic.mathdoc.fr/item/BUMI_2010_9_3_3_a1/
[1] Maximum recoverable work and pseudofree energies for a rigid heat conductor, Nonlinear Oscillations, 10 (1) (2007), 7-25. | DOI | MR | Zbl
- - ,[2] On free energies for a heat conductor with memory effects, to appear.
- - ,[3] Thermal work and minimum free energy in a heat conductor with memory, Quart. J. of Mech. and Appl. Math., 57 (3) (2004), 429-446. | DOI | MR | Zbl
- ,[4] Free energies for a rigid heat conductor with memory, IMA J. Appl. Math. (2010). | DOI | MR | Zbl
- - ,[5] Minimum free energy for a rigid heat conductor with memory and application to a discrete spectrum model, Boll. Un. Mat. Italiana, 8 (10B) (2007), 969-987. | fulltext bdim | fulltext EuDML | MR | Zbl
- ,[6] Maximum recoverable work for a rigid heat conductor with memory, Acta Applicandae Mathematicae, 110, issue 3 (2010), 1011-1036. | DOI | MR | Zbl
- - ,[7] On the determination of free energy in linear viscoelasticity, Z. Angew. Math. Phys., 15 (1964), 184-191. | DOI | MR | Zbl
- ,[8] Sulla conduzione del calore, Atti Sem. Mat. Fis. Univ. Modena, 3 (1948), 83-101. | MR
,[9] Some remarks on materials with memory: heat conduction and viscoelasticity, J. Nonlinear Math. Phys., 12, suppl. 1 (2005), 163-178. | DOI | MR | Zbl
,[10] Reversibility, recoverable work and free energy in linear viscoelasticity, Quart. J. Mech. and Appl. Math., 23 (1970), 1-15. | DOI | MR | Zbl
,[11] The concept of a minimal state in viscoelasticity: new free energies and applications to PDEs, Arch. Rational Mech. Anal., 181 (1) (2006), 43-96. | DOI | MR | Zbl
- - ,[12] Simple materials with fading memory, In: Continuum Physics II., Academic, Berlin, 1972.
,[13] Mathematical problems in linear viscoelasticity, SIAM, Philadelphia, 1992. | DOI | MR | Zbl
- ,[14] Thermodynamic properties and stability for the heat flux equation with linear memory, Quart. Appl. Math., LI, 2 (1993), 343-362. | DOI | MR | Zbl
- ,[15] Free energy in the frequency domain: the scalar case, Quart. Appl. Math., LVIII 1 (2000), 127-150. | DOI | MR | Zbl
,[16] Sull'espressione analitica di alcune grandezze termodinamiche nei materiali con memoria, Rend. Sem. Mat. Univ. Padova, 68 (1982), 17-29. | fulltext EuDML | Zbl
,[17] Non unicità dell'energia libera per materiali viscoelastici, Atti Accad. Naz. Lincei, 83 (1990), 209-214. | fulltext EuDML
- ,[18] A general theory of heat conduction with finite wave speeds, Arch. Rational Mech. Anal., 31 (1968), 113-126. | DOI | MR | Zbl
- ,[19] Singular Integral Equations, Noordhoff, Groningen, 1953. | MR
,[20] Theory of functional and of integral and integro-differential equations, Blackie Son Limited, London,1930. | MR | Zbl
,