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On Approximation of Entropy Solutions for One System of Nonlinear Hyperbolic Conservation Laws with Impulse Source Terms
Joint Authors
Kogut, Peter I.
D'Apice, Ciro
Manzo, Rosanna
Source
Journal of Control Science and Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Electronic engineering
Information Technology and Computer Science
Abstract EN
We study one class of nonlinear fluid dynamic models with impulse source terms.
The model consists of a system of two hyperbolic conservation laws: a nonlinear conservation law for the goods density and a linear evolution equation for the processing rate.
We consider the case when influx-rates in the second equation take the form of impulse functions.
Using the vanishing viscosity method and the so-called principle of fictitious controls, we show that entropy solutions to the original Cauchy problem can be approximated by optimal solutions of special optimization problems.
American Psychological Association (APA)
D'Apice, Ciro& Kogut, Peter I.& Manzo, Rosanna. 2011. On Approximation of Entropy Solutions for One System of Nonlinear Hyperbolic Conservation Laws with Impulse Source Terms. Journal of Control Science and Engineering،Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-513387
Modern Language Association (MLA)
D'Apice, Ciro…[et al.]. On Approximation of Entropy Solutions for One System of Nonlinear Hyperbolic Conservation Laws with Impulse Source Terms. Journal of Control Science and Engineering No. 2010 (2010), pp.1-10.
https://search.emarefa.net/detail/BIM-513387
American Medical Association (AMA)
D'Apice, Ciro& Kogut, Peter I.& Manzo, Rosanna. On Approximation of Entropy Solutions for One System of Nonlinear Hyperbolic Conservation Laws with Impulse Source Terms. Journal of Control Science and Engineering. 2011. Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-513387
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513387