Continuity of solutions of a quasilinear hyperbolic equation with hysteresis

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F12%3A%230000357" target="_blank" >RIV/47813059:19610/12:#0000357 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007%2Fs10492-012-0011-1" target="_blank" >http://link.springer.com/article/10.1007%2Fs10492-012-0011-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10492-012-0011-1" target="_blank" >10.1007/s10492-012-0011-1</a>

Result language
angličtina
Original language name
Continuity of solutions of a quasilinear hyperbolic equation with hysteresis
Original language description
This paper is devoted to the investigation of quasilinear hyperbolic equations of first order with convex and nonconvex hysteresis operator. It is shown that in the nonconvex case the equation, whose nonlinearity is caused by the hysteresis term, has properties analogous to the quasilinear hyperbolic equation of first order. Hysteresis is represented by a functional describing adsorption and desorption on the particles of the substance. An existence result is achieved by using an approximation of implicit time discretization scheme, a priori estimates and passage to the limit; in the convex case it implies the existence of a continuous solution.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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