TITLE:
Blowup of Solutions to the Non-Isentropic Compressible Euler Equations with Time-Dependent Damping and Vacuum
AUTHORS:
Yuping Feng, Huimin Yu, Wanfang Shen
KEYWORDS:
Compressible Euler Equations, Blowup, General Time-Dependent Damping, Vacuum
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.7,
July
20,
2023
ABSTRACT: This paper mainly studies the blowup phenomenon of solutions to the compressible Euler equations with general time-dependent damping for non-isentropic fluids in two and three space dimensions. When the initial data is assumed to be radially symmetric and the initial density contains vacuum, we obtain that classical solution, especially the density, will blow up on finite time. The results also reveal that damping can really delay the singularity formation.