Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
Speaker(s): 许孝精副教授 北京师范大学
Time: April 28 - May 7, 2010
Venue: 北京国际数学研究中心
题目:Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation.
报告时间: 4月28日下午: 2:00--5:00 (星期三)
报告时间: 4月30日下午: 2:00--5:00 (星期五)
报告时间: 5月5日下午: 2:00--5:00 (星期三)
报告时间: 5月7日下午: 2:00--5:00 (星期五)
报告人: 北京师范大学, 许孝精副教授
论文摘要:Motivated by the critical dissipative quasi-geostrophic equation, they prove that drift-Diffusion equations with L^2 initial data and minimal assumptions on the drift are locally Holder continuous. As an application they show that solutions of the quasi-geostrophic equation with initial L^2 data and critical diffusion (?Delta)^{1/2}, are locally smooth for any space dimension.