Partial differential equations
Article REF: AF191 V1

Partial differential equations

Authors : Claude BARDOS, Thierry PAUL

Publication date: October 10, 2010 | Lire en français

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Overview

ABSTRACT

Solving partial differential equations (PDEs) is at the heart of the understanding of many physical phenomena. From aeronautic simulation to imagery and including weather forecasting, the PDEs are present in many applied fields of engineering and physics. This report analyses certain major equations such as that of Navier-Stokes, Euler, Boltzmann, Helmholtz, Kortweg and De Vries as well as turbulence models.

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AUTHORS

  • Claude BARDOS: Professor EmeritusLaboratoire Jacques-Louis Lions, Université Pierre et Marie Curie

  • Thierry PAUL: Research Director CNRSCentre de mathématiques Laurent Schwartz, École polytechnique

 INTRODUCTION

This is the second part of the article on partial differential equations. A reading guide at the beginning of the article makes it easy to find your way around the present article and the [AF 190] article.

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