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2016, Volume 5, Issue 3: i-ii. Doi: 10.3934/eect.201603i open access
This issue Previous Article Next Article Nonlinear acoustics and shock formation in lossless barotropic Green--Naghdi fluids

Introduction to the special volume ``Mathematics of nonlinear acoustics: New approaches in analysis and modeling''

  • 1.

    Acoustics Div., U.S. Naval Research Laboratory, Stennis Space Ctr., MS 39529

  • 2.

    Alpen-Adria-Universität Klagenfurt, Universitätsstraße 65-67, 9020 Klagenfurt

Published:  September 2016
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    Abstract
  • Over the last 12--15 years, there has been a resurgence of interest in the study of nonlinear acoustic phenomena. Using the tools of both classical mathematical analysis and computational physics, researchers have obtained a wide range of new results, some of which might be described as remarkable. As with almost all trends in science, the reasons for this revival are varied: they range from practical applications (e.g., the need to improve our understanding of high-intensity ultrasound); to the development of numerical schemes which are better at capturing the physics of nonlinear compressible flow; to new acoustic models which lend themselves to study by analytical methods.

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