NCKU Math Colloquium / RCTS Seminar | |
DATE | 2015-10-22 16:10-17:00 |
PLACE | 數學館3174教室 |
SPEAKER | 王海濤博士(中研院數學所) |
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. |