On the existence and decay in a new thermoelastic theory with two temperatures

Autor: Fernández, Jose R., Mukhopadhyay, Santwana, Quintanilla de Latorre, Ramón, Shivay, Om Namha

Publikováno v: Zeitschrift für Analysis und ihre Anwendungen. 41:37-48

In this work, we study a new two-temperatures thermoelastic model. Both thermodynamic and conductive temperatures are included, being related by means of an elliptic or parabolic equation. Then, two problems are considered assuming the dependence or

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d38c04a3b42866fc85912f9d01af6539
https://doi.org/10.4171/zaa/1702

Continuous dependence and convergence for Moore–Gibson–Thompson heat equation

Autor: Pellicer Sabadí, Marta, Quintanilla de Latorre, Ramón

Publikováno v: Acta Mechanica.

In this paper, we investigate how the solutions vary when the relaxation parameter, the conductivity rate parameter, or the thermal conductivity parameter change in the case of the Moore-Gibson-Thompson heat equation. In fact, we prove that they can

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed02274048b66d463a33d61afa4946e8
https://doi.org/10.1007/s00707-023-03537-y

Qualitative results for a mixture of Green-Lindsay thermoelastic solids

Autor: Magaña Nieto, Antonio, Muñoz Rivera, Jaime E., Naso, Maria Grazia, Quintanilla de Latorre, Ramón

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

We study qualitative properties of the solutions of the system of partial differential equations modeling thermomechanical deformations for mixtures of thermoelastic solids when the theory of Green and Lindsay for the heat conduction is considered. T

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::449dca041f6558c1f5b0eaa73d0ea7dc
http://hdl.handle.net/2117/125861

On the time decay of solutions for non-simple elasticity with voids

Autor: Liu, Zhuangyi, Magaña Nieto, Antonio, Quintanilla de Latorre, Ramón

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

In this work we consider the non-simple theory of elastic material with voids and we investigate how the coupling of these two aspects of the material affects the behavior of the solutions. We analyze only two kind of different behavior, slow or expo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::8d053ae01e94792a212413ce105f7904
https://hdl.handle.net/2117/89329

Spatial behavior in phase-lag heat conduction

Autor: Quintanilla de Latorre, Ramón, Racke, Reinhard

Publikováno v: Differential Integral Equations 28, no. 3/4 (2015), 291-308
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
Universitat Jaume I

In this paper, we study the spatial behavior of solutions to the equations obtained by taking formal Taylor approximations to the heat conduction dual-phase-lag and three-phase-lag theories, reflecting Saint-Venant's principle. Depending on the relat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15dd1342ff482fac065ce29f0c859e52
https://doi.org/10.57262/die/1423055229