03438nam a22005415i 4500 978-3-031-50898-1 DE-He213 20251030111740.0 cr nn 008mamaa 240323s2024 sz | s |||| 0|eng d 9783031508981 978-3-031-50898-1 10.1007/978-3-031-50898-1 doi QA370-380 PBKJ bicssc MAT007000 bisacsh PBKJ thema Korobkov, Mikhail. author. aut http://id.loc.gov/vocabulary/relators/aut 73814 The Steady Navier-Stokes System [electronic resource] : Basics of the Theory and the Leray Problem / by Mikhail Korobkov, Konstantin Pileckas, Remigio Russo. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. XVII, 285 p. 1 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Advances in Mathematical Fluid Mechanics, 2297-0339 1 Preliminaries -- 2 Stokes problem -- 3 Stationary Navier–Stokes problem in bounded domains -- 4 The case of symmetric two-dimensional domains. General outflow condition -- 5 The case of general two-dimensional domains and general outflow condition -- 6 The case of axially symmetric three-dimensional domains. 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. Differential equations. Functional analysis. Differential Equations. Functional Analysis. Pileckas, Konstantin. author. aut http://id.loc.gov/vocabulary/relators/aut 73815 Russo, Remigio. author. aut http://id.loc.gov/vocabulary/relators/aut 73816 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031508974 Printed edition: 9783031508998 Printed edition: 9783031509001 Advances in Mathematical Fluid Mechanics, 2297-0339 72432 https://doi.org/10.1007/978-3-031-50898-1 ZDB-2-SMA ZDB-2-SXMS 58599 58599