带阻尼项的Euler方程组初边值问题的整体解

摘要

本文研究了一维带阻尼项的Euler方程组初边值问题的齐次Dirichlet边值情形.当初值在平衡解附近小扰动时,本文得到了时间整体解的存在唯一性,而且当时间趋于无穷时,此解趋于平衡解.%The initial-boundary value problem on half line for the isentropic Euler equations with damping is investigated in this paper. For homogeneous-Dirichlet boundary condition, the existence and uniqueness of global solution is obtained provided the initial data is a perturbation of the equilibrium solution. Moreover the solution tends to the equilibrium solution when t→∞.