Positive temperature in nonlinear thermoviscoelasticity and the derivation of linearized models

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F25%3A00638271" target="_blank" >RIV/67985556:_____/25:00638271 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21110/25:00389826

Result on the web

<a href="https://www.sciencedirect.com/science/article/pii/S0021782425000959?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0021782425000959?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.matpur.2025.103751" target="_blank" >10.1016/j.matpur.2025.103751</a>

Result language

angličtina

Original language name

Positive temperature in nonlinear thermoviscoelasticity and the derivation of linearized models

Original language description

According to the Nernst theorem or, equivalently, the third law of thermodynamics, the absolute zero temperature is not attainable. Starting with an initial positive temperature, we show that there exist solutions to a Kelvin-Voigt model for quasistatic nonlinear thermoviscoelasticity at a finite-strain setting [45], obeying an exponential-in-time lower bound on the temperature. Afterwards, we focus on the case of deformations near the identity and temperatures near a critical positive temperature, and we show that weak solutions of the nonlinear system converge in a suitable sense to solutions of a system in linearized thermoviscoelasticity. Our result extends the recent linearization result in [4], as it allows the critical temperature to be positive.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal de Mathematiques Pures et Appliquees

ISSN

0021-7824

e-ISSN

1776-3371

Volume of the periodical

201

Issue of the periodical within the volume

1

Country of publishing house

FR - FRANCE

Number of pages

62

Pages from-to

103751

UT code for WoS article

001517652500002

EID of the result in the Scopus database

2-s2.0-105008335546