IJPAM: Volume 48, No. 1 (2008)

ON INTEGRALS AND INVARIANTS FOR INVISCID,
COMPRESSIBLE AND THREE-DIMENSIONAL
FLOWS UNDER GRAVITY

Dinesh Khattar$^1$, B.B. Chakraborty$^2$,
Poornima Mital$^3$, Arti Kaushik$^4$
$^{1,2}$Department of Mathematics
Kirori Mal Collage
University of Delhi
Delhi, 110007, INDIA
$^1$e-mail: khattar_dinesh@yahoo.co.in
$^3$School of Sciences
Indira Gandhi National Open University
New Delhi, 110068, INDIA
$^4$Department of Mathematics
MAIT, GGSIP University
Delhi, 110085, INDIA


Abstract.Conservation laws are obtained for three-dimensional, isentropic, compressible flows under gravity, which are extension to three dimensions of earlier results (Chakraborty, Khattar and Verma [#!5!#]) in two-dimensional flows.

Received: April 3, 2008

AMS Subject Classification: 58D30, 76N99

Key Words and Phrases: inviscid, compressible, three dimensional, isentropic flow

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 48
Issue: 1