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Why Burgers Equation: Symmetry-Based Approach

  • Leobardo Valera
  • Martine Ceberio
  • Vladik KreinovichEmail author
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Part of the Studies in Systems, Decision and Control book series (SSDC, volume 276)

Abstract

In many application areas ranging from shock waves to acoustics, we encounter the same partial differential equation known as the Burgers’ equation. The fact that the same equation appears in different application domains, with different physics, makes us conjecture that it can be derived from the fundamental principles. Indeed, in this paper, we show that this equation can be uniquely determined by the corresponding symmetries.

Notes

Acknowledgements

This work was supported in part by the US National Science Foundation grant HRD-1242122.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Leobardo Valera
    • 1
  • Martine Ceberio
    • 1
  • Vladik Kreinovich
    • 1
    Email author
  1. 1.University of Texas at El PasoEl PasoUSA

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