偏微分方程研讨班:Hölder continuous weak solution of 2d Boussinesq equation with thermal diffusivity

中科院数学与系统科学研究院

数学研究所

偏微分方程研讨班

报告人：陶 涛   (山东大学)

题  目：Hölder continuous weak solution of 2d Boussinesq equation with thermal diffusivity

时  间：2021.04.16（星期五）, 15 :30-16:30

地  点：数学院南楼N224室

摘  要：In this talk, we show the existence of Hölder continuous periodic weak solutions for the 2d Boussinesq equation with thermal diffusivity which satisfy the prescribed kinetic energy. We first introduce Onsager conjecture for 3d incompressible Euler equation and the construction of anomalous dissipation solution by convex integration. Then, we outline the construction of Hölder continuous periodic weak solutions for the 2d Boussinesq equation with thermal diffusivity. This is a joint work with T.Luo and L.Zhang.