Simple Wave Simple State Involutivity 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.
