Navier-Stokes Equations in Planar Domains

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