A semigroup of contractions in elasticity of porous bodies

被引：0
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作者：
M. Marin
A. Öchsner
R. Ellahi
M. M. Bhatti
机构：
[1] Transilvania University of Brasov,Department of Mathematics and Computer Science
[2] Esslingen University of Applied Sciences,Faculty of Mechanical Engineering
[3] IIUI,Department of Mathematics & Statistics
[4] University of California Riverside,Fulbright Fellow Department of Mechanical Engineering
[5] Shandong University of Science and Technology,College of Mathematics and Systems Science
来源：
Continuum Mechanics and Thermodynamics | 2021年 / 33卷
关键词：
Equations of evolution; Semigroup; Contractions; Porous bodies; Continuous dependence;
D O I：
暂无
中图分类号：
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.
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页码：2027 / 2037
页数：10
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