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The Large Flux Problem to the Navier-Stokes Equations: Global Strong Solutions in Cylindrical Domains (Advances in Mathematical Fluid Mechanics) - Softcover
Book 15 of 21: Advances in Mathematical Fluid Mechanics
Synopsis
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.
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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.
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The Large Flux Problem to the Navier-Stokes Equations. Global Strong Solutions in Cylindrical Domains.
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The Large Flux Problem to the Navier-Stokes Equations: Global Strong Solutions in Cylindrical Domains (Lecture Notes in Mathematical Fluid Mechanics)
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The Large Flux Problem to the Navier-Stokes Equations
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 188 pp. Englisch. Seller Inventory # 9783030323295
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The Large Flux Problem to the Navier-Stokes Equations: Global Strong Solutions in Cylindrical Domains (Advances in Mathematical Fluid Mechanics)
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The Large Flux Problem to the Navier-Stokes Equations
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflowProves global existence of regular solutions without any restrictions on the magnitude of the initial velocity, the exter. Seller Inventory # 448678994
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The Large Flux Problem to the Navier-stokes Equations: Global Strong Solutions in Cylindrical Domains
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The Large Flux Problem to the Navier-Stokes Equations: Global Strong Solutions in Cylindrical Domains (Advances in Mathematical Fluid Mechanics)
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Springer (India) Private Limited, 2019
ISBN 10: 3030323293
ISBN 13: 9783030323295
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Condition: New. PRINT ON DEMAND pp. VI, 179 3 illus., 1 illus. in color. Seller Inventory # 18384562685