Convergence of a monotonisation procedure for a non-monotone quasi-static model in poroplasticity
type: Item
instance of: scholarly article
title: Convergence of a monotonisation procedure for a non-monotone quasi-static model in poroplasticity
zbMATH Open document ID: 1195.35023
author: Sebastian Owczarek
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-02-19T00:00:00Z
review text: The author investigates the convergence of a monotonisation procedure for a non-monotone quasi-static model in poroplasticity. He considers non-monotonic functions and define new notion of solution. This notion of solution is weaker than the weak-type solution introduced by \textit{H. D. Alber} and \textit{K. Chełmińiski} [I. Gohberg, (ed.) et al., Operator theoretical methods and applications to mathematical physics. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 147, 105--129 (2004; Zbl 1280.74017)]. In this paper authors could only show that the equations considered are satisfied in the ``weak sense'' and the inelastic constitutive equation is satisfied in the sense of Young measures.
reviewed by: Seenith Sivasundaram
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 74C15
zbMATH DE Number: 5673244
zbMATH Keywords: Biot model
zbMATH Keywords: coercive approximation
zbMATH Keywords: Young measures
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.09.036
OpenAlex ID: W1993177263
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DOI: 10.1016/J.JMAA.2009.09.036
description: scientific article; zbMATH DE number 5673244