Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity
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Publication:3951726
DOI10.1137/0513029zbMath0489.73124OpenAlexW2003145107MaRDI QIDQ3951726
Publication date: 1982
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0513029
initial-boundary value problemLagrangian descriptionglobal smooth solutionsconditionsthermally insulatedHölder-continuous initial dataappropriate spatial derivativescounterbalancedissipative effects of viscosity and thermal diffusionone-dimensional nonlinear heat conducting Kelvin-Voigt solidsteepening due to nonlinearitystress-free ends
Smoothness and regularity of solutions to PDEs (35B65) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)
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