The book covers several topics of current interest in the field of nonlinear Partial Differential Equations and their applications to the physics of continuous media and particle interactions. It treats the quasigeostrophic equation, integral diffusions, periodic Lorentz gas, Boltzmann equation, and critical dispersive nonlinear Schrödinger and wave equations. The book describes in a careful and expository manner several powerful methods from recent top research articles.
From the reviews:Its aim was to provide an overview of some of the most important current lines of research in the field of nonlinear PDE. Both for novices and experts in the areas covered the contributions provide deep insights into the guiding principles and relevant methods of these active fields of current research. (M. Kunzinger, Monatshefte für Mathematik, Vol. 171 (1), July, 2013)