Nishida, Takaaki Nonlinear hyperbolic equations and related topics in fluid dynamics. (English) Zbl 0392.76065 Publ. Math. Orsay 78-02, iv, 123 p. (1978). Reviewer: Tai Ping Liu (College Park) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 110 Documents MSC: 35L65 Hyperbolic conservation laws 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics 35L67 Shocks and singularities for hyperbolic equations 35L75 Higher-order nonlinear hyperbolic equations 76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics 76N15 Gas dynamics (general theory) 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction Keywords:conservation laws; nonlinear hyperbolic equations; Boltzmann equations; shock wave theory; fluid dynamical limit; Riemann problems; singularities; Existence Theory; Polytropic Gases; Glimm Scheme; compressible Euler equations; shallow water approximation; Cauchy-Kowalewski theorem; free surface PDFBibTeX XML Full Text: Link