کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4590834 | 1334987 | 2013 | 12 صفحه PDF | دانلود رایگان |
In this paper, we apply the div–curl lemma in the compensated compactness theory (Tartar, 1979 [38], , Murat, 1978 [34], ) to the special pair of functions to obtain a very short proof of the existence of global entropy solutions for quite general system (1.1) of Keyfitz–Kranzer type (Keyfitz and Kranzer, 1980 [24], ), where c is a constant and are variants in (1.1). This work extends in some sense the previous work by the author (Lu, 2011 [32]) for a special system of Keyfitz–Kranzer or Aw–Rascle type. As a by-product, a simple proof of the existence and stability of entropy solutions is also obtained for the hyperbolic system of isentropic gas dynamics in Eulerian coordinates under the compactness assumption of or in , α∈(1,2), where uε(x,t), ρε(x,t) are viscosity velocity and density.
Journal: Journal of Functional Analysis - Volume 264, Issue 10, 15 May 2013, Pages 2457-2468