On two-scale homogenized equations of one-dimensional nonlinear thermoviscoelasticity with rapidly oscillating nonsmooth data |
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| Affiliation: | 1. School of Earth and Environmental Sciences, The University of Manchester, UK;2. Istituto Nazionale di Geofisica e Vulcanologia, Sezione di Pisa, Italy;3. School of Earth and Space Exploration, Arizona State University, Tempe, AZ, USA |
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| Abstract: | We study the initial-boundary value problem for a system of quasilinear equations of one-dimensional nonlinear thermoviscoelasticity with rapidly oscillating nonsmooth coefficients and initial data. We rigorously justify the passage to the corresponding limit initial-boundary value problem for a system of two-scale homogenized integro-differential equations, including the existence theorem for the limit problem. The results are global with respect to the time interval and the data. |
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