现在位置:首页 > 学术报告
 

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

李海刚 副教授, 北京师范大学

Inviter:  
Title:
Optimal estimates for elliptic equations and systems from composite material
Time & Venue:
2017.11.9 10:00-11:00 Z311
Abstract:
We study a class of second-order elliptic equations and systems of divergence form, with discontinuous coefficients and data, arising from the study of composite materials. For the original problem concerning the system of linear elasticity, we develop an iteration technique with respect to the energy integral to overcome the difficulty from the lack of maximal principles and obtain the optimal blow-up rates of the gradients when two inclusions are close to touch. Our results hold for convex inclusions with arbitrary shape and in all dimensions. For the scalar case,we first establish the explicit dependence of the gradient on the ellipticity coefficients and the distance between interfacial boundaries of inclusions, which unifies the known results in the literature and answers open problem (b) proposed by Li-Vogelius (2000). Secondly, more interesting higher-order derivative estimates are also obtained, answering open problem (c) of Li-Vogelius (2000). This is based on joint work with Professor Jiguang Bao(BNU), Hongjie Dong(Brown), and Yanyan Li(Rutgers).
 

 

附件下载:
 
 
【打印本页】【关闭本页】
电子政务平台   |   科技网邮箱   |   ARP系统   |   会议服务平台   |   联系我们   |   友情链接