The Steady Navier-Stokes System / Advances in Mathematical Fluid Mechanics (PDF)
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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.
Konstantin Pileckas got his Ph.D. from the Leningrad Branch of Steklov Mathematical Institute (LOMI) under the supervision of Prof. V.A.Solonnikov in 1982. In 1994 he received a habilitation from the University of Paderborn, Germany. From 1997 until 2008 he was head of the Department of Differential Equations at the Institute of Mathematics and Informatics in Vilnius. Since 2008 he is head of the Department of Differential Equations at Vilnius University. He is a member of the Editorial Board of several scientific Journals. K.Pileckas was twice awarded by Lithuanian National Science Prize. He is a member of the Lithuanian Academy of Sciences.
Remigio Russo has been full professor of Rational Mechanics from 1990 at the University ``Federico II'' of Naples and from 1993 to 2021 at the University of Campania ``L. Vanvitelli''. He was a visiting professor in several Universities (Kyoto, Bayreuth, Herriott-Watt of Edimburgh, Vilnius, etc.). His scientific interest
- Autoren: Mikhail Korobkov , Konstantin Pileckas , Remigio Russo
- 2024, 2024, 285 Seiten, Englisch
- Verlag: Springer Nature Switzerland
- ISBN-10: 303150898X
- ISBN-13: 9783031508981
- Erscheinungsdatum: 23.03.2024
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- Größe: 7.32 MB
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