In this sequel to the first part of Lectures on the Analysis of Nonlinear Partial Differential Equations, we present lectures by Marco Cannone on harmonic analysis and Navier-Stokes equations with application to the Boltzmann equation; by Chongsheng Cao and Jiahong Wu on global regularity theory for the incompressible magnetohydrodynamic type equations; by Eduard Feireisl on scale analysis of complete fluid systems; by Thierry Goudon on diffusion asymptotics in radiative transfer and astrophysics; by Jean-Claude Saut on asymptotic models for internal waves; by Zhongwei Shen on the Calderón-Zygmund lemma; and by Vsevolod A. Solonnikov on the stability of uniformly rotating viscous incompressible self-gravitating liquid.

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.