Despite their importance and the amount of research published on the t heory of the Navier-Stokes equations, some very elementary and fundame ntal questions remain unanswered. In this book, the author explores tw o main topics: the search for mild solutions using the tools of real h armonic analysis, and the 1982 regularity criterion of Caffanelli et a l., which has produced many results on the existence or non-existence of solutions. The book includes a self-contained introduction to real harmonic analysis, addresses both strong solutions by direct methods a nd weak solutions by indirect...
Despite their importance and the amount of research published on the t heory of the Navier-Stokes equations, some very elementary and fundame ntal que...
The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despite the field now having reached a level of maturity, very few books provide an introduction to the field accessible to specialists and nonspecialists alike, and none offer a systematic survey of the more recent advances. This book presents and clarifies the developments of the last ten years in quantum integrable systems. After a preliminary discussion of the fundamentals of classical nonlinear integrable systems, the authors explore the...
The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despi...
