ebook9783031508981d4325

Description

This book provides a successful solution to one of the central problems of mathematical fluid mechanics: the Leray‚Äôs problem on existence of a solution to the boundary value problem for the stationary Navier‚ÄîStokes system in bounded domains under sole condition of zero total flux. This marks the culmination of the authors’ work over the past few years on this under-explored topic within the study of the Navier‚ÄîStokes equations. This book will be the first major work on the Navier‚ÄîStokes equations to explore Leray‚Äôs problem in detail. The results are presented with detailed proofs, as are the history of the problem and the previous approaches to finding a solution to it. In addition, for the reader‚Äôs convenience and for the self-sufficiency of the text, the foundations of the mathematical theory for incompressible fluid flows described by the steady state Stokes and Navier‚ÄîStokes systems are presented. For researchers in this active area, this book will be a valuable resource.