中科院数学与系统科学研究院
数学研究所
偏微分方程研讨会
报告人：向昭银 教授（成都电子科大）
题 目：趋化-流体耦合模型的研究进展
时 间：2021.9.4（星期六），8:30-9:30
腾讯会议ID：970 377 176
摘 要：趋化-流体耦合模型的数学理论是最近十多年才引起数学家、生物学家、物理学家广泛关注的多学科课题。本报告拟对趋化-流体耦合模型的适定性理论、大时间行为、稳定性等最新研究进展作一简要介绍。
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报告人：苏喜锋 副教授（北京师范大学）
题 目：On the C^1 and C^2-convergence to weak KAM solutions
时 间：2021.9.4（星期六），9:45-10:45
腾讯会议ID：970 377 176
摘 要：We introduce a notion of upper Green regular solutions to Tonelli Hamilton-Jacobi equations. Then we prove some weak $C^2$ convergence results to such a solution for a large class of approximated solutions as the discounted solution, the image of a $C^0$ function by the Lax-Oleinik semi-group, the weak KAM solutions for perturbed cohomology class. Moreover, we provide several examples or counter-examples, especially the one that is not upper Green regular and to which we have $C^1$ convergence but not convergence in measure of the second derivatives. This is a joint work with Marie-Claude Arnaud.
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报告人：耿俊 教授（兰州大学）
题 目：Neumann Problems in Homogenization of Systems of Elasticity
时 间：2021.9.4（星期六），11:00-12:00
腾讯会议ID：970 377 176
摘 要：For a family of systems of linear elasticity with rapidly oscillating periodic, bounded measurable coefficients, we give a sufficient condition for the weighted $W^{1,2}$ estimates for weak solutions of Neumann problems in a fixed bounded Lipschitz domains by using a weighted real variable method.
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