Well-posedness of the equations of generalized thermoelasticity
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OpenAlex topics: Thermoelastic and Magnetoelastic Phenomena · Numerical methods in engineering · Elasticity and Material Modeling
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References (12)
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1. A. Chrzęszczyk, Initial-boundary-value problems for equations of generalized thermoelasticity, to appear in Math. Meth. Appl. Sci.
2. A. Chrzęszczyk, Some existence results in dynamical thermoelasticity, Parts I, II. Arch. Mech. 39 (1987) 605–617, 619–632.
3. B.D. Coleman, W. Hrusa and D. Owen, Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids. Arch. Rational Mech. Anal. 94 (1986) 267–289.10.1007/BF00279867 ↗
4. J. Gawinecki, Global solution of the Cauchy problem in nonlinear, three-dimensional hyperbolic thermoelasticity with two relaxation times. Bull. Polish. Acad. Sci., Tech. Sci. 36 (1988) 467–491.
5. A.E. Green and K.A. Lindsay, Thermoelasticity. J. Elasticity 2 (1972) 1–7.10.1007/BF00045689 ↗
6. T.J.R. Hughes, T. Kato and J.E. Marsden, Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Arch. Rational Mech. Anal. 63 (1977) 273–294.10.1007/BF00251584 ↗
7. J. Ignaczak, Thermoelasticity with Finite Wave-Speeds. Warsaw: Ossolineum (1989) (in Polish).
8. A.N. Malyshev and E.I. Romensky, Hyperbolic equations of heat propagation, global solvability of Cauchy problem. Sib. Math. Journ. 27 (1986) 128–136 (in Russian).
9. I. Müller, The coldness, a universal function in thermoelastic bodies. Arch. Rational Mech. Anal. 41 (1971) 319–332.10.1007/BF00281870 ↗
10. R. Racke and S. Jiang, On some quasilinear hyperbolic-parabolic initial boundary value problems. Math. Meth. Appl. Sci. 12 (1990) 315–339.10.1002/mma.1670120308 ↗
11. Y. Shibata, On a local existence theorem for some quasi-linear hyperbolic-parabolic coupled system with Neumann type boundary condition, Lectures at Bonn University, 1988.
12. C.C. Wang and C. Truesdell, Introduction to Rational Elasticity. Leyden: Noordhoff International Publishing (1973).