报告题目：Future Stability of the 1+3 Milne model for Einstein-Klein-Gordon system
报告时间：2018年6月26日，上午9:30-10:30
地点：18-925
报告人：王金花（厦门大学）
摘要: We study small perturbations of the 1+3-dimensional Milne model for the Einstein-Klein-Gordon (EKG) system. We prove the non- linear future stability, and show that the perturbed spacetimes are future causally geodesically complete. For the proof, we work within the con- stant mean curvature (CMC) gauge and focus on the 1 + 3 splitting of Bianchi-Klein-Gordon (BKG) equations. Moreover, we treat the BKG equations as evolution equations and establish a partial energy scheme in the sense that we only commute the BKG equations with spatially covariant derivatives while scaling (or normal derivative) is not allowed.
报告人简介：王金花，女，厦门大学数学科学学院助理教授，浙江大学硕士，博士毕业，德国洪堡资助（马克思普朗克研究所—爱因斯坦研究所）博士后。研究方向为非线性双曲方程，微分几何。主要研究兴趣集中在波方程，爱因斯坦方程。在Journal of the European Mathematical Society、Journal of Hyperbolic Differential Equations等期刊发表论文5篇，主持国家自然科学基金青年项目。
