[1] Chandrasekharaiah D S. Hyperbolic thermoelasticity: a review of recent literature. Appl Mech Rev, 1998, 51(12): 705–729

[2] Lord H W, Shulman Y. A generalized dynamical theory of thermoelasticity. J Mech Phys Solids, 1967, 15: 299–309

[3] Tamma K K, Namburu R R. Computational approaches with applications to nonclassical and classical thermomechanical problem. Appl Mech Rev, 1997, 50: 514–551

[4] Dafermos C M. On the existence and the asymptotic stability of solution to the equations of linear ther-moelasticity. Arch Rat Mech Anal, 1968, 29(4): 241–271

[5] Green A E, Naghdi P M. A re-examination of the basic postulates of thermomechanics. Proc R Soc Lond A, 1991, 432(1885): 171–194

[6] Green A E, Naghdi P M. On undamped heat waves in an elastic solid. J Thermal Stresses, 1992, 15(2): 253-264

[7] Jiang S. Exponential decay and global existence of spherically symmetric solutions in thermoelasticity. Chin Ann Math, 1998, 19A(5): 629–640

[8] Wang J, Guo B. On dynamic behavior of hyperbolic system derived from a thermoelastic equation with memory type. J Franklin Institute, 2007, 344: 75–96

[9] Fern´andez Sare H D, Racke R. On the stability of damped Timoshenko systems: Cattaneo versus Fourier law. Arch Rat Mech Anal, 2009,194(1): 221–251

[10] Racke R. Thermoelasticity with second sound-exponential stability in linear and nonlinear 1-d. Math Meth Appl Sci, 2002, 25: 409–441

[11] Racke R, Shibata Y. Global smooth solutions and asymptotic stability in one-dimensional nonlinear ther-moelasticity. Arch Rat Mech Anal, 1991, 116: 1–34

[12] Racke R, Wang Y G. Nonlinear well-posedness and rates of decay in thermoelasticity with second sound. Journal of Hyperbolic Differential Equations, 2008, 5(1): 25–43

[13] Jachmann K, Reissig M. A unified treatment of models of thermoelasticity[Ph D Thesis]. Freiberg: TU Bergakademie Freiberg, 2008

[14] Racke R. Thermoelasticity, Handbook of Diferential Equations, Evolutionary Equations. Vol 5. New York: Elsevier, 2009: 317–420

[15] Tarabek M A. On the existence of smooth solutions in one-dimensional thermoelasticity with second sound. Quart Appl Math, 1992, 50: 727–742

[16] Racke R. Asymptotic behavior of solutions in linear 2- or 3-d thermoelasticity with second sound. Quart Appl Math, 2003, 61(2): 315–328

[17] Messaoudi S A. On weak solutions of semilinear thermoelastic equations. Magreb Math Review, 1992, 1(1): 31–40

[18] Messaoudi S A, Houari B S. Exponential stability in one-dimensional non-linear thermoelasticity with second sound. Math Mech Appl Sci, 2005,28: 205–232

[19] Messaoudi S A. A blow up result in a multidimensional semilinear thermoelastic system. Electronic J Diferential Equations, 2001, 30: 1–9

[20] Messaoudi S A. Local existence and blow up in thermoelasticity with second sound. Comm Partial Differ-ential Equations, 2002, 26(8): 1681–1693

[21] Messaoudi S A. Decay of solutions of a nonlinear hyperbolic system describing heat propagation by second sound. Appl Anal, 2002, 81: 201–209

[22] Racke R, Wang Y. Asymptotic behavior of discontinuous solutions to thermoelastic systems with second sound. Zeitschrift fur Analysis und ihre Anwendung, 2005, 24(1): 117–135

[23] Wang W, Wang Z. The pointwise estimates to solutions for one-dimensional linear thermoelastic system with second sound. J Math Anal Appl, 2007, 326: 1061–1075

[24] Yang L, Wang Y. Propagation of singularities in Cauchy problems for quasilinear thermoelastic systems in three space variables. J Math Anal Appl, 2004 291: 638–652

[25] Fatori L H, Rivera J E M. Energy decay for hyperbolic thermoelastic systems of memory type. Quart Appl Math, 2001, 59(3): 441–458

[26] Coleman B D, Hrusa W J, Owen D R. Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids. Arch Rat Mech Anal, 1986, 94(3): 267–289

[27] Hansen S W. Exponential energy decay in a linear thermoelastic rod. J Math Anal Appl, 1992, 167(2): 429–442

[28] Jiang S, Racke R. Evolution Equations in Thermoelasticity, Pitman Series Monographs and Surveys in Pure and Applied Mathematics. Boca Raton: Chapman & Hall/CRC, 2000

[29] Qin Y. Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors, Operator thoery, Advances and Applications. Vol.184. Basel-Boston-Berlin: Springger, 2008

[30] Slemrod M. Global existence, uniqueness, and asymptotic stability of classical solutions in one-dimensional thermoelasticity. Arch Rat Mech Anal, 1981, 76(2): 97–133

[31] Nappa L. Spatial decay estimates for the evolution equations of linear thermoelasticity without energy dissipation. J Thermal Stresses, 1998, 21(5): 581–592

[32] Qin Y, Rivera J E M. Global existence and exponential stability of solutions to thermoelastic equations of hyperbolic type. J Elasticity, 2004, 75(2): 125–145

[33] Qin Y, Ma Z. Global existence and exponential stabilization for higher-dimensional linear thermoelastic system of type III. preprint

[34] Reissig M, Wang Y. Cauchy problems for linear thermoelastic systems of type III in one space variable. Math Meth Appl Sci, 2005, 28(11): 1359–1381

[35] Zhang X, Zuazua E. Decay of solutions of the system of thermoelasticity of type III. Comm Contemp Math, 2003, 5(1): 1–59

[36] Staffans O J. On a nonlinear hyperbolic Volterra equation. SIAM J Math Anal, 1980, 11: 793–812

[37] Qin Y, Rivera J E M. Blow-up of solutions to the Cauchy problem in nonlinear one-dimensional thermoe-lasticity. J Math Anal Appl, 2002, 292: 160–193

[38] Renardy M, Hrusa W J, Nobel J A. Mathematical Problems in Viscoelasticity,  Pitman Monographs and Surveys in Pure and Applied Mathematics. Vol 35. England: Longman Scientific and Technical, 1987