活动时间：2026-05-30 10:30
活动地点：二号学院楼2432报告厅
主讲人：马思远
主讲人简介：
马思远，中科院数学所副研究员，其主要研究方向为数学广义相对论和双曲型偏微分方程, 研究成果发表于 Comm. Math. Phys.， Ann. PDE， Trans. Amer. Math. Soc. 等权威数学杂志。
内容摘要：
For a system of semilinear wave equations satisfying the weak null condition, which can be regarded as a simplified model for the Einstein vacuum equations, we establish precise pointwise decay estimates, as both lower and upper bounds of decay, for small data solutions, and further show that these pointwise decay estimates are sharp for a generic class of small initial data.
As applications of these estimates, we demonstrate that the energy of one component of the solution admits a lower bound that generically grows to infinity as $t \to +\infty$, which can be interpreted as ``blowing up at infinity.” Furthermore, we verify that this component generically exhibits an energy cascade from high to low frequencies. This is joint work with Shijie Dong, Yue Ma and Xu Yuan.
主持人：查冬兵