Ruggeri, Tommaso Generators of hyperbolic heat equation in nonlinear thermoelasticity. (English) Zbl 0518.73003 Rend. Sem. Mat. Univ. Padova 68, 79-91 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 74F05 Thermal effects in solid mechanics 74A15 Thermodynamics in solid mechanics 74B20 Nonlinear elasticity 35L05 Wave equation Keywords:hyperelastic solid; heat equation; finite propagation speeds; well-posed Cauchy problem PDFBibTeX XMLCite \textit{T. Ruggeri}, Rend. Semin. Mat. Univ. Padova 68, 79--91 (1982; Zbl 0518.73003) Full Text: Numdam EuDML References: [1] C. Cattaneo , Atti Sem. Mat. Fis. Modena , 3 ( 1948 ), pp. 83 - 101 ; C.R. Acad. Sc. Paris , 247 ( 1958 ), pp. 431 - 433 . MR 32898 [2] I. Müller , Zeit. für Phys. , 198 ( 1967 ), pp. 329 - 344 . [3] B.D. Coleman - W. Noll , A.R.M.A. , 13 ( 1963 ), pp. 167 - 178 . MR 153153 | Zbl 0113.17802 · Zbl 0113.17802 · doi:10.1007/BF01262690 [4] I. Müller , A.R.M.A. , 28 ( 1968 ), pp. 40 - 50 . MR 1553503 [5] M. Gurtin - A.C. Pipkin , A.R.M.A. , 31 ( 1968 ), pp. 113 - 126 . MR 1553521 | Zbl 0164.12901 · Zbl 0164.12901 · doi:10.1007/BF00281373 [6] A.E. Green - K. A. LINDSAY , J. of Elasticity , 2 ( 1972 ), pp. 1 - 7 . Zbl 0775.73063 · Zbl 0775.73063 · doi:10.1007/BF00045689 [7] G. Grzolz , Atti Ace. Naz. Lincei , I, 67 ( 5 ) ( 1980 ), pp. 332 - 339 ; II, 67 ( 6 ) ( 1980 ), pp. 426 - 432 . [8] K. Hutter , Acta Mech. , 27 ( 1977 ), pp. 1 - 54 . MR 502984 [9] T. Ruggeri , Symmetric hyperbolic system of conservative equations for a viscous heat conducting fluid , in press in Acta Mech. ( 1982 ). MR 709990 | Zbl 0543.76050 · Zbl 0543.76050 · doi:10.1007/BF01189206 [10] K.O. Friedrichs , Comm. Pure Appl. Math. , 27 ( 1974 ), pp. 749 - 808 MR 375928 | Zbl 0308.76075 · Zbl 0308.76075 · doi:10.1002/cpa.3160270604 [11] G. Boillat , C.R. Acad. Sc. Paris , 278A ( 1974 ), pp. 909 - 912 ; 283A ( 1976 ), pp. 409 - 412 . MR 342870 [12] T. Ruggeri - A. STRUMIA , Ann. Inst. H. Poincaré , 34 ( 1981 ), pp. 65 - 84 . Numdam | MR 605357 | Zbl 0473.76126 · Zbl 0473.76126 [13] T. Ruggeri , Non linear P.D.E.’s with a supplementary conservation law: conducting and viscid fluids (to be published). [14] G. Boillat - T. RUGGERI , Acta Mech. , 35 ( 1980 ), pp. 271 - 274 . Zbl 0474.73037 · Zbl 0474.73037 · doi:10.1007/BF01190402 [15] A. Fischer - D.P. Marsden , Comm. Math. Phys. , 28 ( 1972 ), pp. 1 - 38 . Article | MR 309507 | Zbl 0247.35082 · Zbl 0247.35082 · doi:10.1007/BF02099369 [16] G. Boillat - T. RUGGERI , C.R. Acad. Sc. Paris , 289 A ( 1979 ), pp. 257 - 258 . MR 552226 | Zbl 0417.73027 · Zbl 0417.73027 [17] G. Lebon - D. Jou - J. Casas Vasquez , J. Non-Eq. Thermodyn. , 4 ( 1979 ), pp. 349 - 362 . This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.