Stress-diffusive regularizations of non-dissipative rate-type materials

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10369294" target="_blank" >RIV/00216208:11320/17:10369294 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3934/dcdss.2017067" target="_blank" >http://dx.doi.org/10.3934/dcdss.2017067</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdss.2017067" target="_blank" >10.3934/dcdss.2017067</a>

Result language
angličtina
Original language name
Stress-diffusive regularizations of non-dissipative rate-type materials
Original language description
We consider non-dissipative (elastic) rate-type material models that are derived within the Gibbs-potential-based thermodynamic framework. Since the absence of any dissipative mechanism in the model prevents us from establishing even a local-in-time existence result in two spatial dimensions for a spatially periodic problem, we propose two regularisations. For such reg- ularized problems we obtain well-posedness of the planar, spatially periodic problem. In contrast with existing results, we prove ours for a regularizing term present solely in the evolution equation for the stress.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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