报告人：张正策（西安交通大学）

邀请人：吴付科

报告时间：2024年3月25日（星期一）10:30-12:00

报告地点：科技楼南楼711室

报告题目：Asymptotic behavior for a viscous Hamilton-Jacobi equation with degenerate gradient nonlinearity

报告摘要：In this talk, we consider the asymptotic behavior of gradient blowup solutions for a viscous Hamilton-Jacobi equation with degenerate gradient nonlinearity. In the one-dimensional case, the gradient growup rate is established by the method of matched asymptotic expansions for infinite time gradient blowup solutions. In the higher dimensional case, the gradient blowup rate is established in suitable ranges of exponents for the finite time gradient blowup and time-increasing solutions. As a by-product which is of independent interests itself, the gradient estimate near boundary for the corresponding elliptic equation is derived under weaker assumptions on the inhomogeneous term. They are joint works with Caihong Chang, Bei Hu and Qiangchang Ju.

报告人简介：张正策，西安交通大学数学与统计学院教授，博士生导师，从事非线性偏微分方程理论及其应用研究。近年来, 主要对非线性抛物方程的梯度爆破和自由边值问题开展定性研究，主持多项国家自然科学基金项目，教育部基金项目，在国际学术刊物CVPDE, JDE, SINUM等杂志上发表论文60余篇。