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- W2495744467 abstract "This chapter discusses the characteristics in three independent variables and describes the merits and demerits of the theory of characteristics relative to other methods for integrating hyperbolic partial differential equations. A quasi-linear system of equations is one in which the highest order derivatives occur linearly. A basic property of characteristic curves in two variables is that they are curves at which a discontinuity in derivatives can occur. This property identifies them as the paths of waves in the physical model and is usually used as a definition. A characteristic in n variables is a subspace of (n – 1) dimensions of the variable space at which derivative discontinuities can occur. A characteristic is the space generated by a wave front. If the dependent variables are continuous at and on a characteristic, then the interior derivatives, that is, derivatives in directions tangential to the characteristic, are continuous and only exterior derivatives can be discontinuous." @default.
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- W2495744467 date "1962-01-01" @default.
- W2495744467 modified "2023-09-27" @default.
- W2495744467 title "CHARACTERISTICS IN THREE INDEPENDENT VARIABLES" @default.
- W2495744467 doi "https://doi.org/10.1016/b978-0-08-009660-5.50031-2" @default.
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