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Presents 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, also included are lectures by F. Nier on the hypoellipticity of Fokk...

Presents lectures on harmonic analysis and Navier-Stokes equations with application to the Boltzmann equation, global regularity theory for the incompressible magnetohydrodynamic type equations, scale analysis of complete fluid systems, diffusion asymptotics in radiative transfer and astrophysics, asymptotic models for internal waves, the Calderón-Zygmund lemma, and the stability of uniformly rotating viscous incompressible self-gravitating li...