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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Springer Berlin Heidelberg : Imprint: Springer,
|Edition:||1st ed. 2000.|
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- 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
- Orientation for the Reader
- List of Equations
- Table of Notations
- Cumulative Index of Volumes 1-6
- of Volumes 1-5.