# Involutivity and Symple Waves in R^2

Serdica Mathematical Journal (1997)

- Volume: 23, Issue: 3-4, page 225-232
- ISSN: 1310-6600

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topKolev, Dimitar. "Involutivity and Symple Waves in R^2." Serdica Mathematical Journal 23.3-4 (1997): 225-232. <http://eudml.org/doc/11615>.

@article{Kolev1997,

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.},

author = {Kolev, Dimitar},

journal = {Serdica Mathematical Journal},

keywords = {Simple Wave; Simple State; Involutivity; Riemann Inveriant; Riemann invariant; purely geometrical approach},

language = {eng},

number = {3-4},

pages = {225-232},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Involutivity and Symple Waves in R^2},

url = {http://eudml.org/doc/11615},

volume = {23},

year = {1997},

}

TY - JOUR

AU - Kolev, Dimitar

TI - Involutivity and Symple Waves in R^2

JO - Serdica Mathematical Journal

PY - 1997

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 23

IS - 3-4

SP - 225

EP - 232

AB - 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.

LA - eng

KW - Simple Wave; Simple State; Involutivity; Riemann Inveriant; Riemann invariant; purely geometrical approach

UR - http://eudml.org/doc/11615

ER -

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