Metadata language
Raport Badawczy = Research Report ; RB/5/2016
Creator:Pawłow, Irena ; Zajączkowski, Wojciech
Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:39 pages ; 21 cm ; Bibliography p. 36-39
Subject and Keywords:Existence of global regular solutions ; Istnienie globalnych regularnych rozwiązań ; Kelvin-voigt type materials ; Sobolev spaces with a mixed norm ; Materiały typu kelvina-voigta ; Przestrzenie sobolewa o normie mieszanej ; Thermoviscoelastic system ; Einstein-debye law for specific heat ; System termo-wiskoelastyczny ; Prawo einsteina-debye'a dla ciepła właściwego
Abstract:In this paper, a three-dimensional thermo-visco-elastic system for Kelvin-Voigt type material at small strain is considered. The system involves constant heat conductivity and the specific heat satisfying the EinsteinDebye (θ3 + θ)-law. Such nonlinear law, relevant at relatively low temperatures, represents the main novelty of the paper. The existence of global regular solutions is proved without small data assumption. The crucial part of the proof is the strictly positive lower bound on the absolute temperature θ. In case of the Debye θ3 -law this still remains an unsolved problem. The existence of local in time solution is proved.
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Creative Commons Attribution BY 4.0 license
Terms of use:Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -
Digitizing institution:Systems Research Institute of the Polish Academy of Sciences
Original in:Library of Systems Research Institute PAS
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