Téléchargez le livre : The Large Flux Problem to the Navier-Stokes Equations

The Large Flux Problem to the Navier-Stokes Equations

Global Strong Solutions in Cylindrical Domains de

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Éditeur :

Birkhäuser


Collection :

Advances in Mathematical Fluid Mechanics

Paru le : 2019-12-09

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Description
This monograph considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflow, and proves the existence of global regular solutions without any restrictions on the magnitude of the initial velocity, the external force, or the flux. To accomplish this, some assumptions are necessary: The flux is close to homogeneous, and the initial velocity and the external force do not change too much along the axis of the cylinder. This is achieved by utilizing a sophisticated method of deriving energy type estimates for weak solutions and global estimates for regular solutions—an approach that is wholly unique within the existing literature on the Navier-Stokes equations. To demonstrate these results, three main steps are followed: first, the existence of weak solutions is shown; next, the conditions guaranteeing the regularity of weak solutions are presented; and, lastly, global regular solutions are proven. This volume is ideal for mathematicians whose work involves the Navier-Stokes equations, and, more broadly, researchers studying fluid mechanics.
Pages
179 pages
Collection
Advances in Mathematical Fluid Mechanics
Parution
2019-12-09
Marque
Birkhäuser
EAN papier
9783030323295
EAN PDF
9783030323301
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
17
Taille du fichier
2038 Ko
Prix
73,84 €
EAN EPUB
9783030323301
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
17
Taille du fichier
12943 Ko
Prix
73,84 €

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