On Approximation of Entropy Solutions for One System of Nonlinear Hyperbolic Conservation Laws with Impulse Source Terms
2010 ◽
Vol 2010
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pp. 1-10
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Keyword(s):
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.
1999 ◽
Vol 68
(227)
◽
pp. 955-971
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1999 ◽
Vol 1
(4)
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pp. 231-249
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2016 ◽
Vol 317
◽
pp. 108-147
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Keyword(s):
1999 ◽
pp. 139-148
1994 ◽
Vol 23
(8)
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pp. 1049-1071
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Keyword(s):
2000 ◽
Vol 153
(3)
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pp. 205-220
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1996 ◽
Vol 131
(1-2)
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pp. 91-107
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Keyword(s):
2002 ◽
Vol 41
(3)
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pp. 740-797
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