SOLUTION OF A 1-D CONSERVATION LAWS WITHOUT CONVEXITY

Abstract

In this paper the exact solution for Cauchy problem of first order nonlinear partial equation with piece-wise initial condition described scalar conservation laws without convexity of the state function. In particular, the state functions having four and one point of inflection are considered. The structure of solutions is investigated. 

Keywords

• Scalar conservation laws,state function without convexity,convex and concave hull,weak solution

SOLUTION OF A 1-D CONSERVATION LAWS WITHOUT CONVEXITY

Abstract

Bu makalede bükeyliği olmayan durum fonksiyonuna sahip birinci mertebeden nonlineer kısmi türevli diferansiyel denklem için yazılmış parçalı sürekli başlangıç koşullu Cauchy probleminin gerçek çözümleri elde edilmiştir. Özel olarak, sırasıyla dört ve bir dönüm noktalarına sahip durum fonksiyonları ele alınmış ve çözümün yapısı incelenmiştir.

Keywords

• Scaler korunum kanunları, bükeyliği olmayan durum fonksiyonu, konveks ve konkav katman, zayıf çözüm.

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