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On Well‐Posedness for Non‐Linear Problems in the Theory of Elastic Materials with Voids
Author(s) -
Scarpetta E.
Publication year - 1996
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19960761009
Subject(s) - uniqueness , context (archaeology) , domain (mathematical analysis) , nonlinear system , mathematics , mathematical analysis , space (punctuation) , linear elasticity , finite element method , computer science , physics , geology , thermodynamics , paleontology , quantum mechanics , operating system
In the context of a well known theory for finite deformations of porous elastic materials, some theorems on uniqueness and continuous dependence on data are proved for both the dynamic and the static (nonlinear) problems. A possibly unbounded domain of the physical space is considered for the material in concern.