Involutivity and Symple Waves in R^2

Kolev, Dimitar

Serdica Mathematical Journal (1997)

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

Abstract

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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.

How to cite

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Kolev, 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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