闫威博士学术报告会—— The Cauchy problem for the shallow water typ equations in low regularity spaces on the circle

报告题目: The Cauchy problem for the shallow water typ equations in low regularity spaces on the circle

报 告 人：闫威

报告时间：2016年3月23日（周三）下午2：30-4：30

报告地点：理学院报告厅--励学楼B219

主办单位：理学院

报告摘要：

    In this talk, we investigate the Cauchy problem for the shallow water type equationwith low regularity data in the periodic settings.We prove that the bilinearestimate in X_{s,b} with s<\frac{1}{2} is invalid. We also prove that the problem is locally well-posed in H^{s}(\mathbf{T}) with \frac{1}{6}<s<\frac{1}{2} for small initial data. The result of this paper improves the result of case n=1 of Himonas and Misiolek (Comm. Partial Diff. Eqns. 23(1998), 123-139.). The new ingredients are some new function spaces and some new Strichartz estimates.

报告人简介：

        闫威，博士，河南师范大学青年教授，硕士生导师，2011年6月在华南理工大学获得博士学位，2011年7月起在河南师范大学工作，先后主持国家自然科学基金天元基金和青年基金，已在Annales de l'Institut Henri Poincare (C) NonLinear Analysis， JDE，NoDEA, DCDS-A, Math. Narch.等发表20余篇SCI论文。