活動時間：2023-11-24 15:00
活動地點：騰訊會議 792-644-883
主講人：劉存明
主講人中文簡介：
劉存明，曲阜師範大學，副教授，碩士生導師。在曲阜師範大學獲得碩士學位後，于2012年在複旦大學獲得博士學位。研究領域：雙曲方程組适定性理論、流體力學方程組物理參數的奇異極限研究。部分結果發表在 SIAM JMA, JDE 和 JMPA等重要學術期刊雜志上，主持多項國家自然科學基金。
活動内容摘要：
We consider the quasi-neutral limit to the Cauchy problem for the two-fluid plasma models. When the initial data are sufficiently close to constant equilibrium states, we prove the global existence of smooth solutions with uniform bounds with respect to the Debye length in Sobolev spaces. This allows to pass to the limit in the system for all time to obtain a compressible Euler system. We also prove global error estimates for the two-fluid Euler-Poisson system. These results are obtained by establishing uniform energy estimates and various dissipation estimates. The biggest difficulty in the energy estimates is the control of the quasi-neutrality of the velocities of two-fluid. For this purpose, , we use an orthogonal projection operator in several dimension case. These results were completed in collaboration with Pro.Yue-Jun Peng.
主持人：查冬兵