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Area Comparison of Hypersurfaces in Space Forms题目：Area Comparison of Hypersurfaces in Space Forms报告人：袁伟 教授 （中山大学）地点：腾讯会议室时间：2023年5月9日 14:40-15:40摘要：Mean curvature is one of the most fundamental extrinsic curvature in the theory of submanifold. A natural question is that whether mean curvature can control the area of hypersurfaces. In this talk, we discuss the area comparison with respect to mean curvature f...袁伟 教授 （中山大学）腾讯会议室2023年5月9日 14:40-15:40
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On the Singular Mean Field Equation and SU(3) Toda System on the Torus题目：On the Singular Mean Field Equation and SU(3) Toda System on the Torus报告人：陈志杰 教授 （清华大学）地点：腾讯会议室时间：2023年5月9日 13:30-14:30摘要：In this talk, I will talk about the singular mean field equation and SU(3) Toda system on the torus. When the parameters are non-critical, we show that the solution number is finite and give a sharp upper bound of the number of solutions...陈志杰 教授 （清华大学）腾讯会议室2023年5月9日 13:30-14:30
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Isoperimetric Inequalities for Curvatures题目：Isoperimetric Inequalities for Curvatures报告人：周家足 教授 （西南大学）地点：致远楼 101室时间：2023年5月9日 10：30-11：30摘要：We are going to address the known isoperimetric problem that was known in Ancient Greece. Recent advances and applications of the isoperimetric problem for curvatures will be introduced. The talk covers some joint works with N. Fang, X. Li, H. Wang, W. Xu, C. Z...周家足 教授 （西南大学）致远楼101室2023年5月9日 10：30-11：30
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Hamilton-Souplet-Zhang Type Estimate under Integral Ricci Curvature Condition...题目：Hamilton-Souplet-Zhang Type Estimate under Integral Ricci Curvature Condition and its Application to Li-Yau Inequality报告人：朱萌 教授 （华东师范大学）地点：致远楼101室时间：2023年5月9日 9:20-10:20摘要：We first prove a Hamilton-Souplet-Zhang type estimate for the heat equation on Riemannian manifolds satisfying certain integral Ricci curvature condition. Then as an application, by impla...朱萌 教授 （华东师范大学）致远楼101室2023年5月9日 9:20-10:20
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Asymptotic Behavior of the Solutions for the 1D Compressible NSK Equations in...题目：Asymptotic Behavior of the Solutions for the 1D Compressible NSK Equations in the Half Line报告人黎野平 教授 （南通大学）地点：致远楼101室时间：2023年5月9日 8:10-9:10摘要: In this talk, I am going to present the time-asymptotic behavior of strong solutions to the initial-boundary value problem of the compressible NSK equations with density-dependent viscosity and capillarity on the half-l...黎野平 教授 （南通大学）致远楼101室2023年5月9日 8:10-9:10
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Discrete Maximum Principle for Allen-Cahn Equations: Monotone Schemes and Cut...题目：Discrete Maximum Principle for Allen-Cahn Equations: Monotone Schemes and Cut-Off Post-Processing报告人：杨将 副教授 （南方科技大学）地点：致远楼101室时间：2023年04月16日（星期日）下午3:00-4:00摘要：Maximum principle is one intrinsic property of Allen-Cahn equations. Numerically preserving this structure is necessary for the consistency with phase-field modeling, particularly for the sing...杨将 副教授 （南方科技大学）致远楼101室2023年04月16日（星期日）下午3:00-4:00
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On the Isoperimetric Inequality for Minimal Submanifolds题目：On the Isoperimetric Inequality for Minimal Submanifolds报告人：马辉 教授 （清华大学）地点：腾讯会议室时间：2023年4月14日 10：40-11：40摘要：In this talk, we will prove an isoperimetric inequality for minimal submanifolds in Riemannian manifolds with nonnegative intermediate Ricci curvature, by using the Alexandrov-Bakelman-Pucci method. This generalizes Brendle's recent striking results ...马辉 教授 （清华大学）腾讯会议室2023年4月14日 10：40-11：40
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Some New Results for the Existence and Multiplicity of Self-Similar Solutions...题目：Some New Results for the Existence and Multiplicity of Self-Similar Solutions for the Parabolic Equations报告人：王俊 教授 （江苏大学）地点：腾讯会议室时间：2023年4月14日 9:35-10:35摘要：In this talk, we first introduce some new results for the existence self-similar solutions to the H\'enon type parabolic equation with positive singular initial value. On the other hand, we give the exist...王俊 教授 （江苏大学）腾讯会议室2023年4月14日 9:35-10:35
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