In this paper, we study the global L∞ solutions for the Cauchy problem of nonsymmetric
system (1.1) of Keyfitz–Kranzer type. When n= 1,(1.1) is the Aw–Rascle traffic flow model …

To design efficient adsorption separations and select high-performing materials,
understanding the relationship between adsorption equilibria and the movement of solute …

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 (c, wiε (x, t)) to obtain a very short …

Existence of global bounded weak solutions to a symmetric system of Keyfitz–Kranzer type -
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The exact solutions of the Riemann problem for a Temple-class hyperbolic system of
conservation laws consisting of three scalar equations are obtained in fully explicit forms, in …

In this work, a shallow-water system for interfacial waves in the case of a neutrally buoyant
two-layer fluid system is considered. Such a situation arises in the case of large underwater …

In this paper, the Cauchy problem for nonstrictly hyperbolic systems of conservation laws
modeling polymer flooding in enhanced oil recovery is studied, and a short proof of global …

Many conservation law systems that arise in continuum mechanics fail to be strictly
hyperbolic this situation may even arise generically in some dimensions. By examining …

In this paper, we study the global L∞ solutions for the Cauchy problem of the nonsymmetric
Keyfitz-Kranzer system (1.1). In [YG Lu, J. Funct. Anal., 261, 2797-2815, 2011], the same …

We consider the Cauchy problem for a 2\times2 symmetric system of Keyfitz-Kranzer type
with bounded measurable initial data. The existence of a weak entropy solution to this …