Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/585

 Title: Involutivity and Symple Waves in R^2 Authors: Kolev, Dimitar Keywords: Simple WaveSimple StateInvolutivityRiemann 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. URI: http://hdl.handle.net/10525/585 ISSN: 1310-6600 Appears in Collections: Volume 23 Number 3-4

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