Initial-Boundary Value Problems and the Navier-Stokes Equations

✍ Scribed by Heinz-Otto Kreiss and Jens Lorenz (Eds.)

• Publisher: Academic Press, Elsevier
• Year: 1989
• Leaves: 404
• Series: Pure and Applied Mathematics 136
• Category: Library

✦ Table of Contents

Content:
Edited by
Page iii

Copyright page
Page iv

Introduction
Pages ix-x

Text and Reference Books
Page xi

1 The Navier-Stokes Equations
Pages 1-21

2 Constant-Coefficient Cauchy Problems
Pages 23-80

3 Linear Variable-Coefficient Cauchy Problems in 1D
Pages 81-119

4 A Nonlinear Example: Burgers' Equation
Pages 121-157

5 Nonlinear Systems in One Space Dimension
Pages 159-176

6 The Cauchy Problem for Systems in Several Dimensions
Pages 177-202

7 Initial-Boundary Value Problems in One Space Dimension
Pages 203-273

8 Initial-Boundary Value Problems in Several Space Dimensions
Pages 275-324

9 The Incompressible Navier-Stokes Equations: The Spatially Periodic Case
Pages 325-343

10 The Incompressible Navier-Stokes Equations Under Initial and Boundary Conditions
Pages 345-360

Appendix 1 Notations and Results from Linear Algebra
Pages 361-363

Appendix 2 Interpolation
Pages 365-370

Appendix 3 Sobolev Inequalities
Pages 371-387

Appendix 4 Application of the Arzela-Ascoli Theorem
Pages 389-391

References
Pages 393-398

Author Index
Pages 399-400

Subject Index
Pages 401-402

Pure and Applied Mathematics
Pages 403-407