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学术报告31:吴元泽 — Positive solutions of the Gross--Pitaevskii equation for energy critical and supercritical nonlinearities

华体会(中国)-华体会(中国):2023-04-12 作者: 点击数:

报告华体会(中国)-华体会(中国):2023417日(星期10:00-11:00

报告地点:翡翠科教楼B座1710

人:吴元泽 教授

工作单位:中国矿业大学

举办单位:华体会网页版登录入口

报告简介:

In this talk, I shall introduce our recent results on positive and spatially decaying solutions to the Gross-Pitaevskii equation with a harmonic potential, which give precisely asymptotic behavior of ground states for the energy critical nonlinearties and almost complete computations on the Morse index of positive singular solutions for the enrgy supercritical nonlinearities.  This is a joint work with professors Dmitry E.Pelinovsky and Juncheng Wei.

报告人简介:

吴元泽,男,汉族,江苏苏州人,1985年3月生,共产党员。现任中国矿业大学华体会网页版登录入口教授(预聘)、博士生导师、数学系科研副主任,兼任美国数学会《Mathmatical Reviews》评论员。获第八届江苏省数学成就奖(全省八届累计共30位获奖人,逾1/3入选各类国家级人才计划),主持国家自然科学基金面上项目、青年基金、数学天元基金等纵向科研项目,在Math. Ann., J. Math. Pures Appl., J. Funct. Anal., Calc. Var. PDEs, J. London Math. Soc.等国际权威期刊发表论文多篇,入选中国矿业大学青年学术带头人、优秀青年骨干教师培养计划。


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