Existence of global weak solutions for coupled thermoelasticity with Barber`s heat exchange condition

• Autorzy: Bień M.
• Języki publikacji: EN

Abstrakty

EN

The existence of global weak solutions for coupled thermoelasticity with the nonlinear contact boundary condition and Barber's heat exchange condition is proved via the Faedo-Galerkin, monotonic-ity and compactness methods. Some a priori bounds obtained with Gronwalls inequality in connection with the embedding and trace theorems lead to accomplishing a generalization of our previous study [5]. The heat-exchange coefficient associated with Barber's heat exchange condition is dependent only on the normal displacement. This dependence is described by a bounded Lipschitz function. Moreover, this study is some extension of works due to Andrews et al. [3] and Elliot et al. [12].

Słowa kluczowe

EN

coupled thermoelasticity; Barber's heat exchange condition; thermoelastic contact; existence of global weak solutions to the initial boundary value problem

PL

w połączeniu termoelastyczności; Barber's warunek wymiany ciepła; termoelastyczny kontakt; istnienie słabych rozwiązań globalnych wartości początkowej granicy problemu

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2003
• Tom: Vol. 9, nr 2
• Strony: 163--185
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Bień M.

• ŁZG Łęczyca S.A. R&D Department Kopalniana 9 Łęczyca, Poland

Bibliografia

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