Navier-Stokes Flow Around a Rotating Obstacle - Mathematical Analysis of its Asymptotic Behavior

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.

List of contents

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.

Product details

• Authors: Stanislav Kracmar, Sark Necasova, Sarka Necasova
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2016
• EAN: 9789462392304
• ISBN: 978-94-62-39230-4
• No. of pages: 96
• Dimensions: 159 mm x 247 mm x 13 mm
• Weight: 183 g
• Illustrations: X, 96 p.
• Series: Atlantis Computational Intelligence Systems; Atlantis Briefs in Differential Equations; Atlantis Briefs in Differentia; Atlantis Computational Intelligence Systems; Atlantis Briefs in Differential Equations; Atlantis Briefs in Differentia
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Analysis, B, Mathematics and Statistics, Ordinary Differential Equations, Differential equations