Lectures on the Analysis of Nonlinear Partial Differential Equations: Part 2 (vol. 2 of the Morningside Lectures in Mathematics series)

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.