Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 21693, 29 pages
doi:10.1155/JIA/2006/21693

Some elementary inequalities in gas dynamics equation

V. A. Klyachin, A. V. Kochetov, and V. M. Miklyukov

 Department of Mathematics, Volgograd State University, Universitetsky Prospekt 100, Volgograd 400062, Russia
Received 12 January 2005; Accepted 25 August 2005

Abstract

We describe the sets on which difference of solutions of the gas dynamics equation satisfy some special conditions. By virtue of nonlinearity of the equation the sets depend on the solution gradient quantity. We show double-ended estimates of the given sets and some properties of these estimates.