Well-Posedness of the Green–Lindsay Variational Problem of Dynamic Thermoelasticity
- 作者: Chyr І.1, Shynkarenko H.1,2
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隶属关系:
- Franko Lviv National University
- Politechnika Opolska
- 期: 卷 226, 编号 1 (2017)
- 页面: 11-27
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239913
- DOI: https://doi.org/10.1007/s10958-017-3515-0
- ID: 239913
如何引用文章
详细
On the basis of the Green–Lindsay initial-boundary-value problem of thermoelasticity, we formulate the corresponding variational problem in terms of displacements and temperature. Sufficient conditions of regularity of the initial data of the problem and the uniqueness of its solution are established from the energy equation of the variational problem. To prove the existence of the generalized solution (and simultaneously, as the first step to a well-justified procedure for finding its approximation), we use the method of Galerkin semidiscretization with respect to the spatial variables and show that the limit of the sequence of its approximations is the solution of the Green–Lindsay variational problem.
作者简介
І. Chyr
Franko Lviv National University
Email: Jade.Santos@springer.com
乌克兰, Lviv
H. Shynkarenko
Franko Lviv National University; Politechnika Opolska
Email: Jade.Santos@springer.com
乌克兰, Lviv; Opole