In this talk, we will consider properties of solutions for degenerate Keller-Segel(K-S) equations, which include the degenerate parabolic-elliptic K-S model and the degenerate parabolic-parabolic K-S model. For the parabolic-elliptic case, we will clarify the important relation between the Hardy-Littlewood-Sobolev inequality and the sharp condition for the global existence and blow-up. For the parabolic-parabolic case, a closed relation between the Sobolev inequality vs the sharp condition for the global existence will be stated. Moreover, we will show some results on the L1-bound and uniqueness of weak solutions for degenerate Keller-Segel equations.
会议网址:https://meeting.tencent.com/s/842LXRHVbmPx
会议ID:986 557 754
辽宁大学数学学院教授,在SIAM J. Math. Anal.,Nonlinearity等著名数学杂志发表多篇学术论文,主持国家级和省级多项基金。