Navier-Stokes Flow Around a Rotating Obstacle
Mathematical Analysis of its Asymptotic Behavior
Seiten
2016
|
2016 ed.
Atlantis Press (Zeger Karssen) (Verlag)
978-94-6239-230-4 (ISBN)
Atlantis Press (Zeger Karssen) (Verlag)
978-94-6239-230-4 (ISBN)
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.
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.
Erscheinungsdatum | 16.11.2016 |
---|---|
Reihe/Serie | Atlantis Briefs in Differential Equations ; 3 |
Zusatzinfo | X, 96 p. |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik | |
Schlagworte | Asymptotic Profile • Motion of Fluids Around Rigid Bodies • Oseen-type Problems • Potential Theory • Representation Formula For The Velocity Field |
ISBN-10 | 94-6239-230-7 / 9462392307 |
ISBN-13 | 978-94-6239-230-4 / 9789462392304 |
Zustand | Neuware |
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