Electronic Resource
Decay of waves in strain gradient porous elasticity with Moore-Gibson-Thompson dissipation
| العنوان: | Decay of waves in strain gradient porous elasticity with Moore-Gibson-Thompson dissipation |
|---|---|
| المؤلفون: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. ALBCOM - Algorísmia, Bioinformàtica, Complexitat i Mètodes Formals, Fernández García, José Ramon, Magaña Nieto, Antonio, Quintanilla de Latorre, Ramón |
| بيانات النشر: | 2022-09-05 |
| نوع الوثيقة: | Electronic Resource |
| مستخلص: | We study a one-dimensional problem arising in strain gradient porous-elasticity. Three different Moore–Gibson–Thompson dissipation mechanisms are considered: viscosity and hyperviscosity on the displacements, and weak viscoporosity. The existence and uniqueness of solutions are proved. The energy decay is also shown, being polynomial for the two first situations, unless a particular choice of the constitutive parameters is made in the hyperviscosity case. Finally, for the weak viscoporosity, only the slow decay can be expected Peer Reviewed Postprint (author's final draft) |
| مصطلحات الفهرس: | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències, Thermoelasticity, Porosity, Strain gradient, Moore-Gibson-Thompson dissipation mechanisms, Existence and uniqueness, Energy decay, Termoelasticitat, Porositat, Classificació AMS::74 Mechanics of deformable solids::74A Generalities, axiomatics, foundations of continuum mechanics of solids, Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects, Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions, Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application, Article |
| URL: | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105118GB-I00/ES/ANALISIS MATEMATICO APLICADO A LA TERMOMECANICA info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-104987GB-I00/ES/JUEGOS DE VOTACION Y COOPERACION CON APLICACIONES A LAS REDES SOCIALES Y A LAS CIENCIAS POLITICAS |
| الاتاحة: | Open access content. Open access content Attribution 4.0 International http://creativecommons.org/licenses/by/4.0 Open Access |
| ملاحظة: | application/pdf English |
| Other Numbers: | HGF oai:upcommons.upc.edu:2117/376765 Fernández, J.; Magaña, A.; Quintanilla, R. Decay of waves in strain gradient porous elasticity with Moore-Gibson-Thompson dissipation. "Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences", 5 Setembre 2022, vol. 380, núm. 2231, article 20210369. 1364503X 10.1098/rsta.2021.0369 1355850559 |
| المصدر المساهم: | UNIV POLITECNICA DE CATALUNYA From OAIster®, provided by the OCLC Cooperative. |
| رقم الانضمام: | edsoai.on1355850559 |
| قاعدة البيانات: | OAIster |
| الوصف غير متاح. |