A filtration model with hysteresis
type: Item
instance of: scholarly article
title: A filtration model with hysteresis
zbMATH Open document ID: 1053.35055
author: M. Kubo
published in: Journal of Differential Equations
publication date: 2004-10-01T00:00:00Z
review text: The author proves the existence of a time global solution for a quasi-variational formulation of a parabolic equation modeling a filtration phenomena taking account of hysteresis effects. In particular, he shows the existence of an almost everywhere solution. The hysteresis relationship is described by a ``perturbation'' of a generalized play operator. Moreover the model is intended for an unsaturated flow of a compressible fluid through a porous medium, and the describing equation is linear in its second order part. The proof of the existence makes use of a fixed point procedure, and of a sophisticated technique previously exploited by the author and collaborators. Hysteresis in filtration phenomena brings interesting application and mathematical problems. On such a subject, see for instance the works by the present reviewer and A. Visintin.
reviewed by: Fabio Bagagiolo
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 47J40
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35K85
Mathematics Subject Classification ID: 35K65
zbMATH DE Number: 2104527
zbMATH Keywords: quasi-variational inequalities
zbMATH Keywords: time global solution
zbMATH Keywords: fixed point procedure
MaRDI profile type: Publication
full work available at URL: j.jde.2004.02.010
OpenAlex ID: W2048395858
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DOI: 10.1016/J.JDE.2004.02.010
description: scientific article; zbMATH DE number 2104527