SOLUTION OF A 1-D CONSERVATION LAWS WITHOUT CONVEXITY

Year 2012, Volume: 5 Issue: 1-2, 49 - 61, 06.05.2015

Mahir Resulov , Mahir Resulov , Bahaddin Sinsoysal , Bahaddin Sınsoysal

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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