学术报告（周国立 2026.5.13）

摘要：In this talk, we give an introduction to our recent progress in stochastic 3D viscous / inviscid Burgers equation including 1, the global well-posedness of stochastic 3D viscous Burgers equation in H^{1/2}(T^{3}); 2, the ergodicity of stochastic 3D viscous Burgers equation in H^{1/2}(T^{3}); 3, the existence and uniqueness of weak solutions to stochastic 3D viscous Burgers equation in L^{2}(T^{3}); 4, the global well-posedness of stochastic 3D inviscid Burgers equation and its application to inviscid limit; 5, the ergodicity of stochastic 3D inviscid Burgers equation; 6, the global well-posedness of stochastic 3D viscous Burgers equation in H^{1}(R^{3}).