报告时间：2026年5月15日（周五）上午 10:00-11:00
报告地点：91国产 天赐庄校区精正楼306
报告人：江宁 教授，武汉大学
报告摘要：
We discuss several examples of constrained relaxation systems arising in self-organized hydrodynamics (SOH) and Landau–Lifshitz–Gilbert (LLG) type dynamics. Although originating from different physical settings, these models share a common analytical structure involving geometric constraints, non-selfadjoint relaxation operators, and emergent slow macroscopic modes.
The first part concerns transported and coupled LLG dynamics, including compressible NS–LLG and magnetoelastic-type systems. We discuss the derivation from the energetic variational approach, and the local and global well-posedness. The second part of the talk concerns kinetic alignment models with precession effects, introduced by Degond–Liu, where the rotational interaction fundamentally changes the classical alignment structure. We explain how generalized collision invariants (GCI), kernel/cokernel decompositions, adapted weighted geometries, and coercive macro–micro structures naturally arise from the non-selfadjoint operator framework. This leads to rigorous hydrodynamic limits toward generalized SOH/LLG-type systems.
Throughout the talk, we emphasize that the key analytical object is not only the limiting equation itself, but also the operator geometry governing the slow macroscopic dynamics. Possible connections with geometric kinetic theory, moving-frame structures, and finite-dimensional slow geometric manifolds will also be discussed.
报告人简介：
江宁，武汉大学数学与统计学院教授，博士生导师。本科毕业于南京大学数学系，硕士毕业于中科院数学所（导师为丁伟岳院士），博士毕业于美国马里兰大学（导师为C. D. Levermore教授）。2006-2010年在纽约大学Courant研究所任Courant讲师，2010-2015年在清华大学数学科学中心任教，2015年至今任武汉大学数学与统计学院教授。江宁教授致力于动理学方程及其流体极限、液晶方程以及生物数学中非线性方程的研究。已在Comm. Pure Appl. Math., Arch. Ration. Mech. Anal., Comm. Math. Phys., JMPA, CPDE, JFA等国际一流杂志发表60篇文章。
邀请人：王云