报告时间：2025年9月11日（星期四）14：00-18：00

报告地点：数学科学学院208会议室

报告人及报告简介：

报告人：Milan Pokorn´y(Head of the Department of Mathematics at Charles University in the Czech Republic)

报告题目：Weak solutions for compressible viscoelastic fluid models in three space dimensions

报告摘要：We discuss global in time existence of weak solutions to compressible visco-elastic fluid models in three space dimensions. The first result concerns the situation with corrotational derivative in the extrastress tensor. Then, assuming additionally that the extra stress tensor has a particularly simple structure, the existence of weak solutions can be shown even in the situation when the stress diffusion is neglected which is often the case in applications.The second result concerns Oldroyd-B type of model. It is known that in three space dimensions the Newtonian structure for the viscous part of the stress tensor is not enough to ensure the existence of weak solutions for arbitrarily large data. However, assuming the stress tensor of the power-law type it is possible to close the estimates and construct solutions provided the extra stress diffusion is present and the model of the viscous stress tensor provides bounded velocity divergence.

报告人介绍：Doctor Milan Pokorn´y has published numerous significant academic papers in prestigious journals such as ARMA, SIAM, and JDE.He has led and participated in multiple national natural science foundation grants in the Czech Republic.

报告人：郭正光(淮阴师范学院教授)

报告题目：Global well-posedness for the axisymmetric MHD system

报告摘要：In this talk, we discuss global strong solutions to the three dimensional incompressible axisymmetric magnetohydrodynamic (MHD) equations. If some weighted scaling invariant norm is assumed to be sufficiently small, then the corresponding axisymmetric solutions are globally well-posed. As an application of the perturbation analysis, global small solutions with general axisymmetric initial data are also proved. In striking contrast to the above global small solutions, we also show the global existence of axisymmetric strong solutions in the exterior of a cylinder without any smallness condition.

报告人介绍：郭正光教授主要研究流体力学方程的数学理论，已主持完成国家自然科学基金、省级自然科学基金、中国博士后科学基金等多项科研项目，在SIMA、CVPDE、M3AS、JDE、Nonlineartiy等知名期刊上发表SCI论文多篇，指导大学生创新训练计划省级重点项目1项，瑞士日内瓦大学中瑞科技合作计划项目（SSSTC）访问学者，日本九州大学JSPS项目访问学者。曾荣获上海市优秀博士学位论文，2017年入选浙江省“新世纪151人才工程”第三层次，2020年入选江苏省高校“青蓝工程”优秀青年骨干教师培养对象，2022年入选淮安市“533英才工程”拔尖人才培养对象。

主办单位：扬州大学数学学院

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