【微分方程，数学与统计】 Navier-Stokes Flow Around a Rotating Obstacle (2016)

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

Authors: Sarka Necasova, Stanislav Kracmar



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

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.

Table of contents

Front Matter

Introduction

Formulation of the Problem

Fundamental Solution of the Evolution Problem

Fundamental Solution of the Stationary Problem

Representation Formula

Asymptotic Behavior

Leray Solution

Latest Results

Back Matter

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