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Navier-Stokes Flow Around a Rotating Obstacle: Mathematical Analysis of its Asymptotic Behavior de Sarka Necasova

Navier-Stokes Flow Around a Rotating Obstacle: Mathematical Analysis of its Asymptotic Behavior: Atlantis Briefs in Differential Equations, cartea 3

Autor Sarka Necasova, Stanislav Kracmar
en Limba Engleză Paperback – 14 oct 2016
The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of problems arising from the motion of viscous incompressible fluids around rotating obstacles. It offers a new approach to this type of problems. We derive the fundamental solution of the steady case and we give pointwise estimates of velocity and its gradient (first and second one). Each chapter is preceded by a thorough discussion of the investigated problems, along with their motivation and the strategy used to solve them.
The book will be useful to researchers and graduate students in mathematics, in particular mathematical fluid mechanics and differential equations.
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Specificații

ISBN-13: 9789462392304
ISBN-10: 9462392307
Pagini: 99
Ilustrații: X, 96 p.
Dimensiuni: 155 x 235 x 8 mm
Greutate: 0.16 kg
Ediția:1st ed. 2016
Editura: ATLANTIS PRESS
Colecția Atlantis Press
Seria Atlantis Briefs in Differential Equations

Locul publicării:Paris, Netherlands

Cuprins

1. Introduction.- 2. Formulation of the problem.- 3 Fundamental solution of the evolution problem.- 4 Fundamental solution of the stationary problem.- 5 Representation formula.- 6 Asymptotic behavior.- 7 Leray solution.- 8 The latest results.

Textul de pe ultima copertă

The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of problems arising from the motion of viscous incompressible fluids around rotating obstacles. It offers a new approach to this type of problems. We derive the fundamental solution of the steady case and we give pointwise estimates of velocity and its gradient (first and second one). Each chapter is preceded by a thorough discussion of the investigated problems, along with their motivation and the strategy used to solve them.
The book will be useful to researchers and graduate students in mathematics, in particular mathematical fluid mechanics and differential equations.

Caracteristici

A novel approach based on potentia theory to the problem of fluids around rotating bodies Detailed derivation of the fundamental solution of the problem and the representation formula Introductions to each chapter provide motivation Includes supplementary material: sn.pub/extras