Parabolic phase-lag heat conduction theories revisited
In this note we show that, under certain conditions on the coe cients, the solutions of the parabolic phase-lag heat conduction models are determined by an analytic semigroup for which the inner product determines the H2-norm of the temperature. As a consequence the H2-norm of the temperature decays...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/380875 |
| Acesso em linha: | https://hdl.handle.net/2117/380875 https://dx.doi.org/10.1016/j.aml.2022.108264 |
| Access Level: | acceso abierto |
| Palavra-chave: | Heat --Transmission -- Simulation methods Differential equations, Parabolic Analytic semigroup Third order in time equations Exponential decay. Calor -- Transmissió -- Mètodes de simulació Equacions diferencials parabòliques Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| Resumo: | In this note we show that, under certain conditions on the coe cients, the solutions of the parabolic phase-lag heat conduction models are determined by an analytic semigroup for which the inner product determines the H2-norm of the temperature. As a consequence the H2-norm of the temperature decays in an exponential way |
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