| Abstract: |
| In this talk, I will report some results on the long time existence to the smooth solutions of the compressible Euler system with critical time dependent damping in $\R^2$. We establish the sharp lifespan estimate from below, with respect to the small parameter of the initial perturbation. New vector fields are introduced and better decays for the linear error terms are obtained. This talk is based on a recent joint work with Ning-An Lai and Wen-Ze Su. |
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