Dafermos, C. M. Global smooth solutions to the initial-boundary value problem for the equations of one-dimensional nonlinear thermoviscoelasticity. (English) Zbl 0489.73124 SIAM J. Math. Anal. 13, 397-408 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 77 Documents MSC: 74A15 Thermodynamics in solid mechanics 74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) 35B65 Smoothness and regularity of solutions to PDEs 74F05 Thermal effects in solid mechanics 35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs Keywords:global smooth solutions; initial-boundary value problem; one-dimensional nonlinear heat conducting Kelvin-Voigt solid; Lagrangian description; stress-free ends; thermally insulated; conditions; dissipative effects of viscosity and thermal diffusion; counterbalance; steepening due to nonlinearity; Hölder-continuous initial data; appropriate spatial derivatives PDF BibTeX XML Cite \textit{C. M. Dafermos}, SIAM J. Math. Anal. 13, 397--408 (1982; Zbl 0489.73124) Full Text: DOI OpenURL