Asymptotic Behavior of Dynamical Systems in Fluid Mechanics (Aims Series on Applied Mathematics)

This book is a research monograph, intending to expose recent topics in mathematical fluid dynamics. Emphasis is put on the dynamical aspects of the problem, and in particular, on the qualitative analysis of the large time behavior of studied equations. The book can appeal to a wider audience by exposing a working application of a number of nontrivial mathematical techniques, some of which include: renormalized solutions, compensated compactness, div-curl lemma, Fourier multipliers, Young measures, theory of in nite-dimensional dynamical systems, Lyapunov exponents, method of trajectories, compactness in Bochner spaces.