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.


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    Title :

    On approximation of entropy solutions for one system of nonlinear hyperbolic conservation laws with impulse source terms


    Additional title:

    Über die Annäherung an Entropie-Lösungen für ein System nichtlinearer hyperbolischer Erhaltungssätze mit Impulsquellen-Termen


    Contributors:


    Publication date :

    2010


    Size :

    10 Seiten, 13 Quellen



    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English