Smoller, Joel Shock waves and reaction-diffusion equations. (English) Zbl 0508.35002 Grundlehren der Mathematischen Wissenschaften, Bd. 258. New York Heidelberg - Berlin: Springer-Verlag. XXI, 581 p., 162 figs. DM 128.00; $ 55.20 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 ReviewsCited in 1039 Documents MSC: 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 35L65 Hyperbolic conservation laws 35L67 Shocks and singularities for hyperbolic equations 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces 37C75 Stability theory for smooth dynamical systems 37C10 Dynamics induced by flows and semiflows 37C80 Symmetries, equivariant dynamical systems (MSC2010) 58J45 Hyperbolic equations on manifolds 76L05 Shock waves and blast waves in fluid mechanics 76N15 Gas dynamics (general theory) 76W05 Magnetohydrodynamics and electrohydrodynamics Keywords:reaction-diffusion equations; shock waves; Conley index; Riemann problem; entropy; travelling waves; isolated invariant sets Citations:Zbl 0397.34056 PDF BibTeX XML