Stability of a class of exact solutions of the incompressible Euler equation in a disk

Speaker: 王国栋 副教授，大连理工大学

Inviter: 

Title: Stability of a class of exact solutions of the incompressible Euler equation in a disk

Language: Chinese

Time & Venue: 2024.12.6 20:00-21:00 腾讯会议：551-432-169

Abstract: I will report a recent progress on the sharp stability of  a class of explicit solutions of the 2D incompressible Euler equation in a disk. The stream functions of these solutions are expressed in terms of Bessel functions of the first kind, and include the second eigenfunctions of the Dirichlet Laplacian as a special case. The key ingredients of the proof include Burton's stability criterion, some variational arguments, and the equimeasurable partition of a three-dimensional function space.