2024年1月7日-1月13日，由新加坡国立大学力学工程系助理教授、中国科学技术大学近代力学系刘难生教授、香港城市大学数学系胡先鹏教授组织的粘弹性流体的动力学：从理论到机理（Viscoelastic Flow Dynamics: from Theory to Mechanisms）学术会议将在清华三亚国际数学论坛如期举行，本次会议共有49位来自国内数所院校或研究机构的数学学者参加，会议期间就粘弹性流体相关的数学研究及其物理机理展开研讨，共有35场相关学术报告。
本次会议的主题是“粘弹性流动中的理论及机理”，重点关注粘弹性流体的非线性动力学。粘弹性流体在自然界和工程过程中广泛存在，并具有很高的实用价值。粘弹性流体动力学的科学研究具有丰富的历史，涵盖了广泛的研究课题，对理论、数值和实验研究人员都提出了重大的挑战。最近，该领域涌现出许多新的发现和讨论，包括新的粘弹性流体不稳定性现象和粘弹性流体公式的数学性质，因此本次研讨会是一个相关研究人员共同分享意见和展望未来方向的好机会。本次研讨会旨在强调与粘弹性流体相关的数学研究及其物理机理。具体而言，我们将涵盖以下主题：利用动力系统方法来理解粘弹性流体的动力学机制，粘弹性方程的解的存在性和光滑性，以及在粘弹性流体实验中观察到的非线性弹性波及其数学建模。The conference will explore the theme of "Theory and Mechanisms in Viscoelastic Flows," with a specific focus on the nonlinear dynamics of viscoelastic fluids. These fluids are ubiquitous in both natural phenomena and engineering processes and hold significant practical value. Understanding the dynamics of viscoelastic fluids has a rich history and encompasses a diverse array of research topics, presenting a significant challenge for theoretical, numerical, and experimental researchers. Recently, the field has witnessed a surge in new discoveries and discussions, including novel viscoelastic flow instabilities and mathematical properties of the viscoelastic equations, highlighting the need for researchers to come together to exchange ideas and explore future directions. The goal of this workshop is to emphasize the importance of mathematical research and physical mechanisms in viscoelastic flows. Specifically, the workshop will cover various topics, such as the application of dynamical systems approaches to comprehend the flow dynamics of viscoelastic fluids, the existence and smoothness of solutions to the viscoelastic equations, and the observation of nonlinear elastic waves in viscoelastic experiments and how they can be modeled mathematically.会议议题(Agenda)
1）最新发现的粘弹性流体不稳定性和分岔现象。
Recently-discovered viscoelastic flow instabilities and bifurcations.
2）粘弹性流体公式的数学性质及建模。
Mathematical properties and modeling of viscoelastic equations.
3）粘弹性流体实验中的新现象。
New observations in experiments on viscoelastic flows.
举办意义(Significance)
本研讨会旨在促进研究粘弹性流体动力学的数学家、数值研究人员和实验学者之间的合作。最近，该领域的研究进展表明需要一个平台和机会让相关不同研究背景的科研人员交流想法并探讨未来的研究方向。本研讨会拟邀请在粘弹性流动研究领域中知名的理论、数值和实验科学家参加讨论，并同时鼓励年轻研究人员（博士生，博士后等）参与。这有助于该学科在国内和国际的发展。此次研讨会将会为我们提供了一个更清晰的了解本研究领域的机会，并指明未来研究方向，推动粘弹性流体动力学这一重要研究领域的进展。The objective of this workshop is to facilitate collaboration between mathematicians, numerical researchers and experimentalists who are studying the dynamics of viscoelastic flows. Recent developments in this field have highlighted the need for a platform where researchers of different backgrounds can exchange ideas and explore future directions. World-renowned scientists working on the mathematical, numerical and experimental viscoelastic flows will be invited and junior researchers (PhD students, postdocs) will also be encouraged to participate the workshop. This will help the development of this discipline domestically and internationally. In short, the workshop will provide an opportunity to gain a clearer understanding of the research landscape and contribute to the advancement of knowledge in viscoelastic flow dynamics, which is an essential area of study of nonlinear problems in fluid mechanics.
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