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 L1 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 L1 convergence to the Barrenblatt's solution for any large γ(γ≥3). Furthermore, we get better L1-convergence rate for 2≤γ<3.
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