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科学研究
报告题目:

Suppression of blow up by mixing in generalized Keller-Segel system with fractional dissipation

报告人:

王维克 教授(上海交通大学)

报告时间:

报告地点:

腾讯会议 ID:646 787 298

报告摘要:

In this talk, we consider the Cauchy problem for a generalized parabolic-elliptic Keller-Segel equation with a fractional dissipation and an additional mixing effect of advection by an incompressible flow. Under a suitable mixing condition on the advection, we study well-posedness of solution with large initial data. We establish the global estimate of the solution through nonlinear maximum principle, and obtain the global existence of classical solution.