Geodesic
Involutivity and Symple Waves in R^2
Serdica Mathematical Journal, Tome 23 (1997) no. 3-4, pp. 225-232

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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.
Keywords: Simple Wave, Simple State, Involutivity, Riemann Inveriant 
@article{SMJ2_1997_23_3-4_a3,
     author = {Kolev, Dimitar},
     title = {Involutivity and {Symple} {Waves} in {R^2}},
     journal = {Serdica Mathematical Journal},
     pages = {225--232},
     publisher = {mathdoc},
     volume = {23},
     number = {3-4},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_1997_23_3-4_a3/}
}
TY  - JOUR
AU  - Kolev, Dimitar
TI  - Involutivity and Symple Waves in R^2
JO  - Serdica Mathematical Journal
PY  - 1997
SP  - 225
EP  - 232
VL  - 23
IS  - 3-4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_1997_23_3-4_a3/
LA  - en
ID  - SMJ2_1997_23_3-4_a3
ER  - 
%0 Journal Article
%A Kolev, Dimitar
%T Involutivity and Symple Waves in R^2
%J Serdica Mathematical Journal
%D 1997
%P 225-232
%V 23
%N 3-4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_1997_23_3-4_a3/
%G en
%F SMJ2_1997_23_3-4_a3
Kolev, Dimitar. Involutivity and Symple Waves in R^2. Serdica Mathematical Journal, Tome 23 (1997) no. 3-4, pp. 225-232. http://geodesic.mathdoc.fr/item/SMJ2_1997_23_3-4_a3/