Lectures on the Analysis of Nonlinear Partial Differential Equations: Part 1 (vol. 1 of the Morningside Lectures in Mathematics series)

In this volume we present lectures by M. C. Lopes concerning the boundary layers of incompressible fluid flow; by C. J. Xu on the micro-local analysis and its applications to the regularities of kinetic equations; by Y. X. Zheng on the weak solutions of variational wave equation from liquid crystals; and by P. Zhang and Z. F. Zhang on the free boundary problem of Euler equations. In addition, we also included lectures by F. Nier on the hypoellipticity of Fokker-Planck operator and Witten-Laplace operator. We hope that these lectures may serve as valuable references, providing up-to-date descriptions of current developments in various related research topics, that will benefit young researchers or graduate students.

About the Morningside Lectures in Mathematics book series

The Morningside Center of Mathematics, at the Chinese Academy of Sciences in Beijing, carefully selects research topics in basic mathematics, applied mathematics and computational mathematics fields, and invites world-class mathematicians and outstanding scholars to give lectures and to conduct collaborative research.

The Morningside Lectures in Mathematics (MLM) book series is based mainly on the lectures that these well-known experts have given at the Morningside Center of Mathematics. We hope that with the aid of these volumes more people will be enabled to broaden their vision and to understand the latest developments in various related fields.