Blow-up for compressible Euler system with space-dependent damping in 1-D

Jinbo GENG, Ning-An LAI, Man Wai YUEN, Jiang ZHOU

Research output: Contribution to journalArticlespeer-review

3 Citations (Scopus)

Abstract

This article considers the Cauchy problem for compressible Euler system in R with damping, in which the coefficient depends on the space variable. Assuming the initial density has a small perturbation around a constant state and both the small perturbation and the small initial velocity field are compact supported, finite-time blow-up result will be established. This result reveals the fact that if the space-dependent damping coefficient decays fast enough in the far field (belongs to L 1 (R), then the damping is non-effective to the long-time behavior of the solution.Copyright © 2023 the author(s), published by De Gruyter.

Original languageEnglish
JournalAdvances in Nonlinear Analysis
Volume12
Issue number1
DOIs
Publication statusPublished - Jan 2023

Citation

Geng, J., Lai, N.-A., Yuen, M., & Zhou, J. (2023). Blow-up for compressible Euler system with space-dependent damping in 1-D. Advances in Nonlinear Analysis, 12(1). Retrieved from https://doi.org/10.1515/anona-2022-0304

Keywords

  • Compressible Euler equations
  • Damping
  • Blow-up
  • Space-dependent

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