A semigroup of contractions in elasticity of porous bodies

被引：10

作者：

Marin, M. ^{[1
]}

Oechsner, A. ^{[2
]}

Ellahi, R. ^{[3
,4
]}

Bhatti, M. M. ^{[5
]}

机构：

[1] Transilvania Univ Brasov, Dept Math & Comp Sci, Brasov 500036, Romania

[2] Esslingen Univ Appl Sci, Fac Mech Engn, D-73728 Esslingen, Germany

[3] IIUI, Dept Math & Stat, Islamabad, Pakistan

[4] Univ Calif Riverside, Dept Mech Engn, Riverside, CA 92521 USA

[5] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

CONTINUUM MECHANICS AND THERMODYNAMICS | 2021年 / 33卷 / 05期

关键词：

Equations of evolution; Semigroup; Contractions; Porous bodies; Continuous dependence; DIPOLAR BODIES; CONTINUUM;

D O I：

10.1007/s00161-021-00992-7

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The mixed initial-boundary value problem in the context of elasticity of porous bodies having a dipolar structure is considered. By means of a semigroup of contractions, we can obtain some results regarding the existence and uniqueness of solutions for this mixed problem, after proving the equivalence between this problem and a Cauchy problem attached to an abstract equation of evolution. Also, by means of this Cauchy problem, we deduce two continuous dependence results, regarding the supply terms of the original mixed problem and upon initial data.

引用

页码：2027 / 2037

页数：11

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