A uniqueness result for final boundary value problem of microstretch bodies

Volume 10, Issue 4, pp 1908--1918 http://dx.doi.org/10.22436/jnsa.010.04.50

Publication Date: April 20, 2017 Submission Date: December 22, 2016

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Authors

M. Marin - Department of Mathematics and Computer Science, Transilvania University of Brasov, 500093 Brasov, Romania. D. Baleanu - Department of Mathematics, Cankaya University, Ankara, Turkey. - nstitute of Space Sciences, Magurele, Bucharest, Romania. C. Carstea - Department of Mathematics and Computer Science, Transilvania University of Brasov, 500093 Brasov, Romania. R. Ellahi - Department of Mathematics and Statistics, FBAS, IIUI, Islamabad 44000, Pakistan. - Department of Mechanical Engineering, University of California Riverside, USA.

Abstract

Main subject of this study is the final boundary value problem of a microstretch thermoelastic body. In fact, using an elementary transformation, this problem is reformulated as a known mixed problem with initial and boundary conditions. We prove some results of uniqueness of solutions avoiding any conservation law of energy. We also give up any hypothesis regarding the boundedness of the thermoelastic coefficients.

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Keywords

• Final boundary value problem
• uniqueness of solution
• microstretch
• thermoelastic body.

MSC

•  74A15
•  74A60
•  35M30
•  35Q74

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