Lu, Yun-Guang Existence of global bounded weak solutions to nonsymmetric systems of Keyfitz-Kranzer type. (English) Zbl 1235.35194 J. Funct. Anal. 261, No. 10, 2797-2815 (2011). The author studies the Cauchy problem for nonsymmetric systems of Keyfitz-Kranzer type \[ \rho_t+(\rho\phi(\rho,w))_x=0, \quad (\rho w)_t+(\rho w\phi(\rho,w))_x=0, \] where the unknown vectors \((\rho,w)\in {\mathbb R}\times {\mathbb R}^n\) and \(\phi(\rho,w)=\Phi(w)-P(\rho)\). In the case \(n=1\), \(\Phi(w)=w\), this system coincides with the known Aw-Rascle traffic flow model. Using BV estimates on the Riemann invariants and the compensated compactness method applied to special approximate sequences, the author establishes the global existence of bounded entropy weak solutions. Reviewer: Evgeniy Panov (Novgorod) Cited in 1 ReviewCited in 28 Documents MSC: 35L65 Hyperbolic conservation laws 35B45 A priori estimates in context of PDEs 35D30 Weak solutions to PDEs 35A01 Existence problems for PDEs: global existence, local existence, non-existence 90B20 Traffic problems in operations research Keywords:hyperbolic systems of Keyfitz-Kranzer type; Aw-Rascle traffic flow model; entropy weak solutions; compensated compactness; vanishing viscosity approximation PDFBibTeX XMLCite \textit{Y.-G. Lu}, J. Funct. Anal. 261, No. 10, 2797--2815 (2011; Zbl 1235.35194) Full Text: DOI References: [1] Aw, A.; Rascle, M., Resurrection of “second order” models of traffic flow, SIAM J. Appl. Math., 60, 916-938 (2000) · Zbl 0957.35086 [2] Bouchut, F.; James, F., Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness, Comm. 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