Nonlinear partial differential equations and their applications

 Organizer(s):
Name:
Affiliation:
Country:
Xiangqing Liu
School of Mathematics, Yunnan Normal University
Peoples Rep of China
Yuanze Wu
School of Mathematics, Yunnan Normal University
Peoples Rep of China
Fukun Zhao
School of Mathematics, Yunnan Normal University
Peoples Rep of China
 Introduction:  
  Nonlinear partial differential equations originating from quantum mechanics and divergence-type semilinear partial differential equations arising from incompressible ideal fluid problems are two of the most important paritial differential equations, which have been widely and deeply studies in the past forty years, including the existence theory, local and global properties such as existence, uniqueness, regularity, asymptotic behavior, formation of singularities, as well as other special properties of the solutions, via the variational method, Lyapunov-Schmidt reduction method, the concentration compactness principle and other methods in nonlinear functional analysis and partial differential equations. Thus, it is the time to organize the active researchers on these topics together to report their most recent works and discuss the potential directions in these topics.