澳门新葡新京

【1月7日】Stability of a coupled wave-Klein-Gordon system with quadratic nonlinearities

2019-12-26

时间:2020.01.07,10:00-11:00

地点:澳门新葡新京楼331

主讲人:董世杰

主讲人简介:

董世杰,2014年本科毕业于中国海洋大学数学系,2019年博士毕业于法国索邦大学数学系LJLL实验室, 师从Philippe G. LeFloch。主要研究方向为双曲偏微分方程、广义相对论。论文发表于ESAIM Math. Model. Numer. Anal.等国际数学杂志。

活动内容摘要:

We establish stability results for a coupled wave-Klein-Gordon system with quadratic nonlinearities. In particular, we investigate quadratic wave-Klein-Gordon interactions in which there are no derivatives on the massless wave component. By combining hyperboloidal energy estimates with appropriate transformations of our fields, we are able to show global existence of solutions for sufficiently small initial data. Our result also proves small data global existence of the Klein-Gordon-Zakharov equations using the hyperboloidal foliation. This is a joint work with Z. Wyatt.

主持人:查冬兵 (院内)

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