The Steady Navier-Stokes System: Basics of the Theory and the Leray Problem (Advances in Mathematical Fluid Mechanics)

By Konstantin Pileckas, Mikhail Korobkov, Remigio Russo

This book provides a successful solution to one of the central problems of mathematical fluid mechanics: the Leray's problem on existence of a solution to the boundary value problem for the stationary Navier--Stokes 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--Stokes equations. This book will be the first major work on the Navier--Stokes equations to explore Leray's 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's 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--Stokes systems are presented. For researchers in this active area, this book will be a valuable resource.

• Format: Hardcover
• Language: English
• ISBN: 3031508971
• ISBN13: 9783031508974
• Release Date: March 2024
• Publisher: Birkhauser
• Length: 285 Pages
• Weight: 1.33 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"