摘要
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.
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.
作者
Yuping Feng
Huimin Yu
Wanfang Shen
Yuping Feng;Huimin Yu;Wanfang Shen(Department of Mathematics, Shandong Normal University, Jinan, China;Shandong Key Laboratory of Blockchain Finance, Shandong University of Finance and Economics, Jinan, China)
