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- W3022804910 abstract "This chapter describes the properties of hyperbolic equations. Initial value or propagation problems are described by parabolic and hyperbolic equations. Hyperbolic equations arise in transport, wave mechanics, gas dynamics, vibrations, and other areas. The concepts of domains of dependence, and influence, and of characteristics are fundamental to all hyperbolic equations. The extent to which initial and boundary conditions determine unique solutions can be deduced for a large number of cases from the three theorems that are described for the two simultaneous first-order quasilinear equations. No boundary interference or other obstruction is present in the considered domain. It is quite possible that unanticipated boundaries, such as shock waves, flame fronts, and other discontinuities, may appear within the solution domain. The discontinuities of properties are propagated by their own special laws and represent boundaries among regions where different equations must be solved." @default.
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- W3022804910 date "1992-01-01" @default.
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- W3022804910 title "Hyperbolic Equations" @default.
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- W3022804910 doi "https://doi.org/10.1016/b978-0-08-057130-0.50011-7" @default.
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