Navier-Stokes flow around a rotating obstacle [electronic resource] : mathematical analysis of its asymptotic behavior /
Necasova, Sarka.author.
Kracmar, Stanislav.author.
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.
Includes bibliographical references and index.
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.
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.
Differential equations.
Ordinary Differential Equations.