Analytical Blowup Solutions to the Compressible Euler Equations with Time-depending Damping  

作　　者：Jian-wei DONG Guang-pu LOU Qiao ZHANG 

机构地区：[1]Zhengzhou University of Aeronautics,Zhengzhou 450015,China

出　　处：《Acta Mathematicae Applicatae Sinica》2022年第3期568-578,共11页应用数学学报（英文版）

基　　金：supported by the Project of Youth Backbone Teachers of Colleges and Universities in Henan Province(2019GGJS176);the Vital Science Research Foundation of Henan Province Education Department(22A110024)。

摘　　要：In this paper,the analytical blowup solutions of the N-dimensional radial symmetric compressible Euler equations are constructed.Some previous results of the blowup solutions for the compressible Euler equations with constant damping are generalized to the time-depending damping case.The generalization is untrivial because that the damp coefficient is a nonlinear function of time t.

关 键 词：compressible Euler equations time-depending damping BLOWUP 

分 类 号：O175[理学—数学]