Special Session 12: Hyperbolic Partial Differential Equations and Applications
Large Time Behaviors of Solutions to the Euler / Euler-Poisson Equations with Time-dependent Damping
Haitong Li
Changchun University of Technology Peoples Rep of China
Co-Author(s): Shaohua Chen, Jingyu Li, Ming Mei and Kaijun Zhang
Abstract:
In this talk, we consider the Cauchy problem for the 1D Euler / Euler-Poisson equations with time-dependent damping whose coefficient is $-\frac{\mu}{(1+t)^\lambda}$. Firstly, we consider the large time behaviors of solutions to the Euler / Euler-Poisson equations for $\mu=1, -11$ and $\mu>0$, or $\lambda=1$ but $0