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On Noncoercive Models in the Theory of Inelastic Deformations with Internal Variables
Author(s) -
Krzysztof Chelmiski
Publication year - 2001
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.20010811575
Subject(s) - subclass , mathematics , monotone polygon , class (philosophy) , type (biology) , pure mathematics , monotonic function , mathematical analysis , computer science , geometry , ecology , artificial intelligence , antibody , immunology , biology
In the theory of inelastic deformations with internal variables, H.‐D. Alber has defined an important class of models called models of monotone type. For the subclass containig coercive models, the existence of global in time solutions is known. Unfortunately, in practice the coerciveness condition fails very often. Therefore we consider here noncoercive problems. In this note we study a subclass of models of monotone type for which the so‐called coercive approximation converges to a solution of the original noncoercive problem.