Measure-valued solutions for the equations of polyconvex adiabatic thermoelasticity
dc.contributor.author | Christoforou, Cleopatra | |
dc.contributor.author | Galanopoulou, Myrto Maria | |
dc.contributor.author | Tzavaras, Athanasios | |
dc.date.accessioned | 2019-09-11T13:08:07Z | |
dc.date.available | 2019-09-11T13:08:07Z | |
dc.date.issued | 2019-08-30 | |
dc.identifier.citation | Christoforou, C., Galanopoulou, M., & E. Tzavaras, A. (2019). Measure-valued solutions for the equations of polyconvex adiabatic thermoelasticity. Discrete & Continuous Dynamical Systems - A, 39(11), 6175–6206. doi:10.3934/dcds.2019269 | |
dc.identifier.doi | 10.3934/dcds.2019269 | |
dc.identifier.uri | http://hdl.handle.net/10754/656727 | |
dc.description.abstract | For the system of polyconvex adiabatic thermoelasticity, we define a notion of dissipative measure-valued solution, which can be considered as the limit of a viscosity approximation. We embed the system into a symmetrizable hyperbolic one in order to derive the relative entropy. Exploiting the weak-stability properties of the transport and stretching identities, we base our analysis in the original variables, instead of the symmetric ones (in which the entropy is convex) and we prove measure-valued weak versus strong uniqueness using the averaged relative entropy inequality. | |
dc.publisher | American Institute of Mathematical Sciences (AIMS) | |
dc.relation.url | http://aimsciences.org//article/doi/10.3934/dcds.2019269 | |
dc.rights | This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems- Series A following peer review. The definitive publisher-authenticated version is available online at: http://doi.org/10.3934/dcds.2019269 | |
dc.subject | Polyconvex | |
dc.subject | thermoelasticity | |
dc.subject | uniqueness | |
dc.subject | measure-valued solutions | |
dc.subject | relative entropy | |
dc.title | Measure-valued solutions for the equations of polyconvex adiabatic thermoelasticity | |
dc.type | Article | |
dc.contributor.department | Applied Mathematics and Computational Science Program | |
dc.contributor.department | Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division | |
dc.identifier.journal | Discrete & Continuous Dynamical Systems - A | |
dc.rights.embargodate | 2020-01-01 | |
dc.eprint.version | Post-print | |
dc.contributor.institution | Department of Mathematics and Statistics, University of Cyprus, Nicosia, 1678, Cyprus | |
kaust.person | Galanopoulou, Myrto Maria | |
kaust.person | Tzavaras, Athanasios | |
refterms.dateFOA | 2019-09-11T13:39:44Z | |
dc.date.published-online | 2019-08-30 | |
dc.date.published-print | 2019 |
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