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Some elementary inequalities in gas dynamics equation

Journal of Inequalities and Applications volume 2006, Article number: 21693 (2006) Cite this article

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.

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Authors and Affiliations

  1. Department of Mathematics, Volgograd State University, Universitetsky Prospekt 100, Volgograd, 400062, Russia

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

Authors
  1. V. A. Klyachin
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  2. A. V. Kochetov
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  3. V. M. Miklyukov
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Correspondence to V. A. Klyachin.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Klyachin, V.A., Kochetov, A.V. & Miklyukov, V.M. Some elementary inequalities in gas dynamics equation. J Inequal Appl 2006, 21693 (2006). https://doi.org/10.1155/JIA/2006/21693

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  • DOI: https://doi.org/10.1155/JIA/2006/21693

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