Surviving time estimates of local classical solutions to compressible Euler equations with logarithmic equation of state

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Abstract

In this paper, two sets of initial conditions that guarantee a positive lower bound and a finite upper bound of existence time of local classical solutions to multi-dimensional compressible Euler equations with Logarithmic equation of state are established. Copyright © 2022 Elsevier Inc. All rights reserved.
Original languageEnglish
Article number126458
JournalJournal of Mathematical Analysis and Applications
Volume515
Issue number1
Early online dateJun 2022
DOIs
Publication statusE-pub ahead of print - Jun 2022

Citation

Cheung, K. L. (2022). Surviving time estimates of local classical solutions to compressible Euler equations with logarithmic equation of state. Journal of Mathematical Analysis and Applications, 515(1). Retrieved from https://doi.org/10.1016/j.jmaa.2022.126458

Keywords

  • Surviving time
  • Euler equations
  • Logarithmic equation of state
  • Classical solutions
  • Cauchy problem

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