993 resultados para Test R-2


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Publ. no.: Schlesinger No. 294.

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"Table générale et analytique": sér. 1, t. 52; sér. 2, t. 78.

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A strictly hyperbolic quasi-linear 2×2 system in two independent variables with C2 coefficients is considered. The existence of a simple wave solution in the sense that the solution is a 2-dimensional vector-valued function of the so called Riemann invariant is discussed. It is shown, through a purely geometrical approach, that there always exists simple wave solution for the general system when the coefficients are arbitrary C^2 functions depending on both, dependent and independent variables.