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Navier-Stokes Equations in Planar Domains

Matania Ben-Artzi, Jean-Pierre Croisille, and Dalia Fishelov
Publisher: 
Imperial College Press
Publication Date: 
2013
Number of Pages: 
302
Format: 
Hardcover
Price: 
98.00
ISBN: 
9781848162754
Category: 
Monograph
We do not plan to review this book.
  • Basic Theory:
    • Introduction
    • Existence and Uniqueness of Smooth Solutions
    • Estimates for Smooth Solutions
    • Extension of the Solution Operator
    • Measures as Initial Data
    • Asymptotic Behavior for Large Time
    • Some Theorems from Functional Analysis
  • Approximate Solutions:
    • Introduction
    • Notation
    • Finite Difference Approximation to Second-Order Boundary-Value Problems
    • From Hermitian Derivative to the Compact Discrete Biharmonic Operator
    • Polynomial Approach to the Discrete Biharmonic Operator
    • Compact Approximation of the Navier–Stokes Equations in Streamfunction Formulation
    • Fully Discrete Approximation of the Navier–Stokes Equations
    • Numerical Simulations of the Driven Cavity Problem

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