English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The aim of this article is to provide an in-depth discussion about thermoelastic models able to take into account the effect of ultrafast strain of a deformable conductor coupled with a very refined behavior in terms of heat exchange, depicted through three distinct relaxation times and their related high-order effects. In particular, the well-posedness question is investigated dealing with a linear anisotropic and inhomogeneous medium, being able to prove the uniqueness as well as the continuous dependence of the solutions for suitable initial-boundary value problems. From a technical point of view, we underline that the main tools used are identifiable:  i.  in the introduction of an apposite integral operator that enters into the handling of the model, appropriately modifying the original initial-boundary value problem;  ii.  in the application of the Lagrange identity method in combination with the time-weighted function method and with an exponentially time-weighted Poincaré inequality. It is worth emphasizing that the results achieved are valid under very weak assumptions made on the thermoelastic features of the model.

Mathematical analysis of high-order three-phase-lagging models