Hysteresis rarefaction in the Riemann problem

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SYSNO ASEP	0326613
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Ostatní články
Title	Hysteresis rarefaction in the Riemann problem
Title	Hysterezní zředění v Riemannově úloze
Author(s)	Krejčí, Pavel (MU-W)_{RID, SAI, ORCID}
Source Title	Journal of Physics: Conference Series. - : Institute of Physics Publishing - ISSN 1742-6588 Roč. 138, - (2008), s. 1-10
Number of pages	10 s.
Action	International Workshop on Multi-Rate Processes and Hysteresis
Event date	31.03.2008-05.04.2008
VEvent location	Cork
Country	IE - Ireland
Event type	WRD
Language	eng - English
Country	GB - United Kingdom
Keywords	Preisach hysteresis ; Riemann problem
Subject RIV	BA - General Mathematics
CEZ	AV0Z10190503 - MU-W (2005-2011)
Annotation	We consider the wave equation with Preisach hysteresis and Riemann initial data as a model for wave propagation in hysteretic (e.g. elastoplastic) media. The main result consists in proving that in the convex hysteresis loop domain, there exists a unique self-similar locally Lipschitz continuous solution. In other words, smooth rarefaction waves propagate in both directions from the initial jump discontinuity.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2010

Number of the records: 1