Nonhomogeneous Initial-Boundary Value Problems for Coercive and Self-Controlling Models of Monotone Type

Krzysztof Chełmiński , Piotr Gwiazda

Abstract

Based on the idea of partial Yosida approximation we prove global in time existence of nonhomogeneous initial-boundary value problems for the class of coercive models of monotone type from the theory of inelastic deformations of metals. Then using this result and the coercive limits idea introduced in [8], we approximate self-controlling problems with nonhomogeneous boundary data by a sequence of coercive models and prove a convergence result.
Author Krzysztof Chełmiński (FMIS / DPDE)
Krzysztof Chełmiński,,
- Department of Partial Differential Equations
, Piotr Gwiazda
Piotr Gwiazda,,
-
Journal seriesContinuum Mechanics and Thermodynamics, ISSN 0935-1175
Issue year2000
Vol12
No4
Pages217-234
Publication size in sheets0.85
Keywords in EnglishConvergence Result; Boundary Data; Inelastic Deformation; Time Existence; Limit Idea
ASJC Classification3100 General Physics and Astronomy; 2211 Mechanics of Materials; 2500 General Materials Science
DOIDOI:10.1007/s001610050136
URL https://link.springer.com/article/10.1007/s001610050136
Languageen angielski
Score (nominal)20
Publication indicators WoS Citations = 21; Scopus SNIP (Source Normalised Impact per Paper): 2014 = 1.36; WoS Impact Factor: 2006 = 0.954 (2) - 2007=0.88 (5)
Citation count*23 (2015-02-15)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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