偏微分方程式セミナー: Sharp asymptotics for the generalized KdVB equation with slowly decaying data, 福田 一貴 氏

開催日時

2018年5月25日 16時30分 ～ 2018年5月25日 17時30分

場所

北海道大学理学部3号館3-309室

講演者

福田 一貴 氏 (北海道大学)

We consider the asymptotic behavior of the global solution to the initial value problem for the generalized Korteweg-de Vries-Burgers (KdVB) equation with slowly decaying data. The solution to this problem converges to a self-similar solution to the Burgers equation called a nonlinear diffusion wave. In this talk, we focus on the decay rate of the initial data, and we will investigate the optimal asymptotic rate to the nonlinear diffusion wave which corresponds to the decay rate of the initial value, by constructing the second asymptotic profile.