Convergence to diffusion waves for solutions of Euler equations with time-depending damping on quadr

• 作 者: Haibo Cui Haiyan Yin Changjian
• 机 构: SchoolofMathematicalSciences,2SchoolofMathematics
• 出 处: 中国科学:数学英文版
• 发表日期: 2019年1期
• 关键词: Euler equations with time-depending DAMPING nonlinear diffusion waves initial-bo
• 基金项目: National Natural Science Foundation of China (Grant Nos. 11331005,11771150,11601164 and 11601165).

This paper is concerned with the asymptotic behavior of the solution to the Euler equations with time-depending damping on quadrant(x,t)∈R^+×R^+,δtυ-δxu=0,δxu+δxp(υ)=-α/(1+t)^λu,with the null-Dirichlet boundary condition or the null-Neumann boundary