偏微分方程式セミナー: Global weak solutions of a degenerate chemotaxis-Navier-Stokes system with logistic-type damping, 水上 雅昭 氏

開催日時

2018年12月14日 16時30分 ～ 2018年12月14日 17時30分

場所

北海道大学理学部3号館3-309室

講演者

水上 雅昭 氏 (東京理科大学)

This talk considers a chemotaxis-Navier-Stokes system with logistic-type damping. In the case that the logistic-type damping is given by the quadratic logistic term, a previous paper (Kurima-M.) obtained existence of global weak solutions under some conditions. However, the case that the logistic-type damping is given by a general logistic term seems not to be studied. Therefore the purpose of the present talk is to obtain existence of global weak solutions to the system. The main result in this talk asserts that “strong” logistic-type damping derives existence of global weak solutions.

世話人：黒田 紘敏、浜向 直