报告人：李新华 兰州大学 教授
时间: 3月26日（周三）上午10: 30-11: 20
地点：9301
摘要：The dynamics of a dissipative PDE can be reduced to a explicit system of ODEs by constructing inertial manifold. However, due to the required spectral gap condition, the known applications were mainly restricted to the PDEs defined on periodic domains with dimension two or three, and usually no longer valid for the space dimensions d≥4 or general bounded domains. In this talk, we introduce some theories of bi-Lipschitz Mane projections and provide a criterion which can realize the finite-dimensional reduction and deal with the case of multi-dimensional general bounded domains (aperiodic). As an example, we give the bi-Lipschitz Mane projections for a class of fractional Cahn-Hillard equations with Kirchhoff-type nonlinearity.
个人简介：李新华，男，2020年于兰州大学获得博士学位，现为兰州大学数学与统计学院教授，主要从事无穷维动力系统吸引子与惯性流形相关问题的研究。先后获得国家自然科学基金青年基金，博士后面上基金，甘肃省青年基金的资助。曾获甘肃省优秀博士学位论文。在惯性流形、奇异耗散系统吸引子等相关研究中取得一些成果，部分成果已发表在SIAM J. Math.Anal.，J. Differential Equations, Proc.Amer. Math.Soc.等期刊。
