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Physica D Nonlinear Phenomena
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arXiv.org e-Print Archive
Preprint . 2004
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Physica D Nonlinear Phenomena
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https://dx.doi.org/10.48550/ar...
Article . 2004
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Variational inequalities in critical-state problems

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2004Embargo end date: 01 Jan 2004 English Publisher:Elsevier BVJournal:Physica D: Nonlinear Phenomena, volume 197, pages 197-210 (issn: 0167-2789, Copyright policy )
Authors: Prigozhin, Leonid;

doi: 10.1016/j.physd.2004.07.001 , 10.48550/arxiv.cond-mat/0406244

arXiv: cond-mat/0406244

Variational inequalities in critical-state problems

Abstract

Similar evolutionary variational inequalities appear as convenient formulations for continuous quasistationary models for sandpile growth, formation of a network of lakes and rivers, magnetization of type-II superconductors, and elastoplastic deformations. We outline the main steps of such models derivation and try to clarify the origin of this similarity. New dual variational formulations, analogous to mixed variational inequalities in plasticity, are derived for sandpiles and superconductors.

Submitted for publication

Related Organizations
Keywords

sandpiles, Condensed Matter - Superconductivity, elastoplastic solids, Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics, FOS: Physical sciences, Condensed Matter - Soft Condensed Matter, Variational inequalities, superconductors, Statistical mechanics of superconductors, Superconductivity (cond-mat.supr-con), vatiational equalities, Soft Condensed Matter (cond-mat.soft), critical states, river networks

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Top 10%
Average
Green
bronze