Navier-Stokes Flow Around a Rotating Obstacle

Mathematical Analysis of its Asymptotic Behavior

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Navier-Stokes Flow Around a Rotating Obstacle by Sarka Necasova, Stanislav Kracmar, Atlantis Press
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Author: Sarka Necasova, Stanislav Kracmar ISBN: 9789462392311
Publisher: Atlantis Press Publication: October 6, 2016
Imprint: Atlantis Press Language: English
Author: Sarka Necasova, Stanislav Kracmar
ISBN: 9789462392311
Publisher: Atlantis Press
Publication: October 6, 2016
Imprint: Atlantis Press
Language: English

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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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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