报告题目:L^p-L^q-L^r estimates and minimal decay regularity for compressible Euler-Maxwell equations
报 告 人:徐江 教授 (南京航空航天大学)
报告时间:2017年9月19日 (星期二) 下午15:00-17:00
报告地点:四号楼4318室
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数学学院
2017年09月19日
报告摘要:Due to the dissipative structure of regularity-loss, extra higher regularity is usually imposed to obtain the optimal decay rates of classical solutions to dissipative systems. Our recent work is to seek the lowest regularity index for the optimal decay rate of L^1-L^2 type. To this end, a notion of minimal decay regularity for dissipative systems of regularity-loss is firstly proposed. We develop a new time-decay estimate of L^p-L^q-L^r type by using the low-frequency and high-frequency analysis in Fourier spaces. As a direct application, for compressible Euler-Maxwell equations with the weaker dissipative mechanism, it is shown that the minimal decay regularity coincides with the critical regularity for global classical solutions.