Mathematical Analysis and Numerical Methods for Science and Technology Volume 6 Evolution Problems II / by Robert Dautray, Jacques-Louis Lions.

The object ofthis chapter is to present a certain number ofresults on the linearised Navier-Stokes equations. The Navier-Stokes equations, which describe the motion of a viscous, incompressible fluid were introduced already, from the physical point of view, in §1 of Chap. IA. These equations are non...

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Bibliographic Details
Main Authors: Dautray, Robert. (Author,, Lions, Jacques-Louis. (
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
Edition:1st ed. 2000.
Series:Springer eBook Collection.
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • XIX. The Linearised Navier-Stokes Equations
  • §1. The Stationary Navier-Stokes Equations: The Linear Case
  • §2. The Evolutionary Navier-Stokes Equations: The Linear Case
  • §3. Additional Results and Review
  • XX. Numerical Methods for Evolution Problems
  • §1. General Points
  • §2. Problems of First Order in Time
  • §3. Problems of Second Order in Time
  • §4. The Advection Equation
  • §5. Symmetric Friedrichs Systems
  • §6. The Transport Equation
  • §7. Numerical Solution of the Stokes Problem
  • XXI. Transport
  • §1. Introduction. Presentation of Physical Problems
  • §2. Existence and Uniqueness of Solutions of the Transport Equation
  • §3. Spectral Theory and Asymptotic Behaviour of the Solutions of Evolution Problems
  • §4. Explicit Examples
  • §5. Approximation of the Neutron Transport Equation by the Diffusion Equation
  • Perspectives
  • Orientation for the Reader
  • List of Equations
  • Table of Notations
  • Cumulative Index of Volumes 1-6
  • of Volumes 1-5.