Blowup phenomena for the N-dimensional compressible Euler equations with damping

Research output: Contribution to journalArticlespeer-review

5 Citations (Scopus)

Abstract

In this paper, we extend the finite propagation speed property for the compressible Euler equations with damping from the three-dimensional case to the general N-dimensional case. Subsequently, blowup results of the N-dimensional compressible Euler equations with damping are obtained. More precisely, we show that if the initial data 0∫∞f(r)V(0,r)dr are sufficiently large, then blowup phenomena occurs and the finite blowup time can be estimated, where f is a general test function with mild conditions and V represents the speed of the fluid in radial symmetry. Copyright © 2017 Springer International Publishing.
Original languageEnglish
Article number27
JournalZeitschrift für angewandte Mathematik und Physik
Volume68
Early online dateJan 2017
DOIs
Publication statusPublished - Feb 2017

Citation

Cheung, K. L. (2017). Blowup phenomena for the N-dimensional compressible Euler equations with damping. Zeitschrift für angewandte Mathematik und Physik, 68. Retrieved from http://dx.doi.org/10.1007/s00033-017-0770-3

Keywords

  • Blowup
  • Radial symmetry
  • Euler equations
  • Finite propagation speed
  • Compressible
  • Damping

Fingerprint Dive into the research topics of 'Blowup phenomena for the N-dimensional compressible Euler equations with damping'. Together they form a unique fingerprint.