Nonsimple material problems addressed by the Lagrange’s identity

Springer Science and Business Media LLC - Tập 2013 - Trang 1-14 - 2013
Marin I Marin1, Ravi P Agarwal2, SR Mahmoud3,4
1Department of Mathematics, University of Brasov, Brasov, Romania
2Department of Mathematics, Texas A &M University-Kingsville, Kingsville, USA
3Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
4Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt

Tóm tắt

Our paper is concerned with some basic theorems for nonsimple thermoelastic materials. By using the Lagrange identity, we prove the uniqueness theorem and some continuous dependence theorems without recourse to any energy conservation law, or to any boundedness assumptions on the thermoelastic coefficients. Moreover, we avoid the use of positive definiteness assumptions on the thermoelastic coefficients.

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Springer Science and Business Media LLC

Tập 2013

1-14

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