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.
On approximation of entropy solutions for one system of nonlinear hyperbolic conservation laws with impulse source terms
Über die Annäherung an Entropie-Lösungen für ein System nichtlinearer hyperbolischer Erhaltungssätze mit Impulsquellen-Termen
Journal of Control Science and Engineering (Internet) ; 982369/1-982369/10
2010
10 Seiten, 13 Quellen
Aufsatz (Zeitschrift)
Englisch
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