Nonsimple material problems addressed by the Lagrange’s identity

Boundary value problems

Ravi P Agarwal²  Marin I Marin³  SR Mahmoud⁴ 

[1] Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, Texas A&Department of Mathematics, University of Brasov, Brasov, Romania;M University-Kingsville, Kingsville, USA

关键词: Lagrange identity;    nonsimple materials;    uniqueness;    continuous dependence;   

DOI  :  10.1186/1687-2770-2013-135

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY