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【系综合学术报告】2024年第16期 || SELF-DUAL SOLUTION OF 3D INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

报告题目SELF-DUAL SOLUTION OF 3D INCOMPRESSIBLE NAVIER-STOKES EQUATIONS


报告人:周忆  教授(复旦大学)


时间:5月27日(周一)下午14:00-15:00


地点:理科楼A404


报告摘要:Whether the 3D incompressible Navier-Stokes equations will have a global smooth solution for all smooth,finite energy initial data is a Millennium Prize problem. One of the main difficulties of this problem is that the Navier-Stokes equations are actually a system of semilinear heat equations rather than a single equation. In this paper, we discover a remarkable hidden symmetry of the 3D incompressible Navier-Stokes equations. Under this symmetric reduction,the system reduces to a single scalar semilinear heat equation. The symmetry also holds for the 3D incompressible Euler equations.


邀请人:何凌冰