LAUSR

Abstract In our previous work [17] , it is shown that any L ∞ weak entropy solution of damped compressible Euler equation converges to the Barrenblatt's solution with finite mass in L 1 norm with a convergence rate for 1 γ 3 . In this paper, by introducing an elaborate iterative method and using the intensive entropy analysis, we prove the L 1 convergence to the Barrenblatt's solution for any large γ ( γ ≥ 3 ) . Furthermore, we get better L 1 -convergence rate for 2 ≤ γ 3 .