The Navier–Stokes equations for the description of motion of an incompressible linearly viscous fluid are one of the most employed and analysed systems of partial differential equations of all time. Properties of solutions to these equations have been the focus of attention for many mathematical analysts, but they are also of great interest to mathematical physicists and engineers in predicting solutions to real life fluid mechanics problems. While the Navier–Stokes equations are of immense interest they are not capable of describing every type of fluid mechanics phenomenon.

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Introduction

  • Brian Straughan

摘要

The Navier–Stokes equations for the description of motion of an incompressible linearly viscous fluid are one of the most employed and analysed systems of partial differential equations of all time. Properties of solutions to these equations have been the focus of attention for many mathematical analysts, but they are also of great interest to mathematical physicists and engineers in predicting solutions to real life fluid mechanics problems. While the Navier–Stokes equations are of immense interest they are not capable of describing every type of fluid mechanics phenomenon.