NCKU Math Colloquium / RCTS Seminar DATE 2015-10-22¡@16:10-17:00 PLACE ¼Æ¾ÇÀ]3174±Ð«Ç SPEAKER ¤ý®üÀÜ³Õ¤h¡]¤¤¬ã°|¼Æ¾Ç©Ò¡^ TITLE Time-Asymptotic Behaviour of Scalar Viscous Rarefaction Wave ABSTRACT Abstract: The stability of viscous rarefaction wave is a classical problem and the standard approach for it is energy method. We are more interested in the quantitative behaviour. In this talk, I will show how to obtain the point-wise structure of the solution through Green¡¦s function approach. Specifically, we use viscous Burgers solution as an approximation and construct the Green¡¦s function by linear Hopf-Cole transformation. Then by proposing appropriate Ansatz and delicate analysis, we can obtain the desired result.