Navier-Stokes Flow Around a Rotating Obstacle

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.

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

Inhalt

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.