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Some elementary inequalities in gas dynamics equation

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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Correspondence to V. A. Klyachin.

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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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Keywords

  • Dynamic Equation
  • Solution Gradient
  • Elementary Inequality
  • Gradient Quantity
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