Existence and uniqueness of the solution to a 3D thermoviscoelastic system
MetadataShow full metadata
This paper presents results on existence and uniqueness of solutions to a three-dimensional thermoviscoelastic system. The constitutive relations of the model are recovered by a free energy functional and a pseudo-potential of dissipation. Using a fixed point argument, combined with an a priori estimates-passage to the limit technique, we prove a local existence result for a related initial and boundary values problem. Hence, uniqueness of the solution is proved on the whole time interval, as well as positivity of the absolute temperature.
CitationBonetti, E., & Bonfanti, G. (2003). Existence and uniqueness of the solution to a 3D thermoviscoelastic system. Electronic Journal of Differential Equations, 2003(50), pp. 1-15.
This work is licensed under a Creative Commons Attribution 4.0 International License.