On the hyperbolic thermoelasticity with several dissipation mechanisms

Autor: José R. Fernández, Ramón Quintanilla

In this work, we study a two-dimensional problem involving a thermoelastic body with four dissipative mechanisms. The well-known theory proposed by Lord and Shulman is used. The existence and uniqueness of solution is proved by using theory of linear

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a96927a169ee3556c17c8e64f77eabc9
https://hdl.handle.net/2117/387401

Logarithmic convexity for third order in time partial differential equations

Autor: Jose R. Fernandez, Kumbakonam Rajagopal, Ramon Quintanilla

Publikováno v: Mathematics and Mechanics of Solids. :108128652211370

In this short note, we want to describe the logarithmic convexity argument for third order in time partial differential equations. As a consequence, we first prove a uniqueness result whenever certain conditions on the parameters are satisfied. Later

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5f77ff41e18bb9f9542b19c54199186
https://doi.org/10.1177/10812865221137083

Numerical analysis of some dual-phase-lag models

Autor: Ramón Quintanilla, M. I. M. Copetti, Noelia Bazarra, José R. Fernández

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

In this paper we analyse, from the numerical point of view, two dual-phase-lag models appearing in the heat conduction theory. Both models are written as linear partial differential equations of third order in time. The variational formulations, writ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a4bbc40fbf1867a1d0d4027b9dd8b64
https://doi.org/10.1016/j.camwa.2018.09.044

Exploring Datasets to Solve Partial Differential Equations with TensorFlow

Autor: Oscar G. Borzdynski, Florentino Borondo, Jezabel Curbelo

Publikováno v: Advances in Intelligent Systems and Computing ISBN: 9783030578015
SOCO
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

The version of record is available online at: http://dx.doi.org/10.1007/978-3-030-57802-2_42 This paper proposes a way of approximating the solution of partial differential equations (PDE) using Deep Neural Networks (DNN) based on Keras and TensorFlo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::726fbf03ba633533bc6e8ced4ec3a4ae
https://doi.org/10.1007/978-3-030-57802-2_42

Optimal scalar products in the Moore-Gibson-Thompson equation

Autor: J. Solà-Morales, Marta Pellicer

Publikováno v: © Evolution Equations and Control Theory, 2019, vol. 8, núm. 1, p. 203-220
Articles publicats (D-IMA)
DUGiDocs – Universitat de Girona
instname
Recercat. Dipósit de la Recerca de Catalunya
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

We study the third order in time linear dissipative wave equation known as the Moore-Gibson-Thompson equation, that appears as the lineariza-tion of a the Jordan-Moore-Gibson-Thompson equation, an important model in nonlinear acoustics. The same equa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::153595fcedc3307186d392a974d54a54
https://hdl.handle.net/2072/372283