Serre, Denis Richness and the classification of quasilinear hyperbolic systems. (English) Zbl 0760.35028 Multidimensional hyperbolic problems and computations, Proc. IMA Workshop, Minneapolis/MN (USA) 1989, IMA Vol. Math. Appl. 29, 315-333 (1991). Summary: [For the entire collection see Zbl 0718.00008.]Rich quasilinear hyperbolic systems are those which possess the largest possible set of entropies. Such systems have a property of global existence of weak solutions, whatever large is the bounded initial data. Although the full gas dynamics is not rich, many physically meaningful systems are. One gives new examples and properties of the fully linearly degenerate case. Cited in 18 Documents MSC: 35L60 First-order nonlinear hyperbolic equations 35L80 Degenerate hyperbolic equations Keywords:fully linearly degenerate case Citations:Zbl 0718.00008 PDFBibTeX XMLCite \textit{D. Serre}, in: Macroscopic limits of kinetic equations. . 315--333 (1991; Zbl 0760.35028)