Blowup of solutions for the initial boundary value problem of the 3‐dimensional compressible damped Euler equations

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Abstract

The blowup phenomenon of solutions is investigated for the initial boundary value problem of the 3‐dimensional compressible damped Euler equations. It is shown that if the initial functional associated with a general test function is large enough, the solutions of the damped Euler equations will blow up on finite time. Hence, a class of blowup conditions is established. Moreover, the blowup time could be estimated. Copyright © 2018 John Wiley & Sons, Ltd.
Original languageEnglish
Pages (from-to)4754-4762
JournalMathematical Methods in the Applied Sciences
Volume41
Issue number12
Early online dateApr 2018
DOIs
Publication statusPublished - Aug 2018

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Blow-up of Solutions
Euler equations
Euler Equations
Damped
Initial-boundary-value Problem
Blow-up
Boundary value problems
Blow-up Time
Test function

Citation

Cheung, K. L. (2018). Blowup of solutions for the initial boundary value problem of the 3‐dimensional compressible damped Euler equations. Mathematical Methods in the Applied Sciences, 41(12), 4754-4762. doi: 10.1002/mma.4928

Keywords

  • Blowup
  • Damped Euler equations