03223nam a22004935i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172072001700186072002300203072001600226100008700242245016500329250001800494264007300512300004400585336002600629337002600655338003600681347002400717490005700741505031800798520100901116650002802125650002502153650002802178650002502206700009002231700008402321710003402405773002602439776003602465776003602501776003602537830006402573856004602637912001402683912001502697999001702712978-3-031-50898-1DE-He21320251030111740.0cr nn 008mamaa240323s2024    sz |    s    |||| 0|eng d  a97830315089819978-3-031-50898-17 a10.1007/978-3-031-50898-12doi 4aQA370-380 7aPBKJ2bicssc 7aMAT0070002bisacsh 7aPBKJ2thema1 aKorobkov, Mikhail.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut97381414aThe Steady Navier-Stokes Systemh[electronic resource] :bBasics of the Theory and the Leray Problem /cby Mikhail Korobkov, Konstantin Pileckas, Remigio Russo.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Birkhäuser,c2024.  aXVII, 285 p. 1 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aAdvances in Mathematical Fluid Mechanics,x2297-03390 a1 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.  aThis 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. 0aDifferential equations. 0aFunctional analysis.14aDifferential Equations.24aFunctional Analysis.1 aPileckas, Konstantin.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut9738151 aRusso, Remigio.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut9738162 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303150897408iPrinted edition:z978303150899808iPrinted edition:z9783031509001 0aAdvances in Mathematical Fluid Mechanics,x2297-033997243240uhttps://doi.org/10.1007/978-3-031-50898-1  aZDB-2-SMA  aZDB-2-SXMS  c58599d58599