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Title: Involutivity and Symple Waves in R^2
Authors: Kolev, Dimitar
Keywords: Simple Wave
Simple State
Riemann Inveriant
Issue Date: 1997
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 23, No 3-4, (1997), 225p-232p
Abstract: 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.
ISSN: 1310-6600
Appears in Collections:Volume 23 Number 3-4

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