NCKU Math Colloquium / RCTS Seminar

DATE2015-10-22 16:10-17:00



TITLETime-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.