Initial-Boundary Value Problems and the Navier-Stokes Equations

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Academic Press, Jun 1, 1989 - Mathematics - 406 pages
Initial-Boundary Value Problems and the Navier-Stokes Equations
 

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Contents

Chapter 1 The NavierStokes Equations
1
Chapter 2 ConstantCoefficient Cauchy Problems
23
Chapter 3 Linear VariableCoefficient Cauchy Problems in 1D
81
Burgers Equation
121
Chapter 5 Nonlinear Systems in One Space Dimension
159
Chapter 6 The Cauchy Problem for Systems in Several Dimensions
177
Chapter 7 InitialBoundary Value Problems in One Space Dimension
203
Chapter 8 InitialBoundary Value Problems in Several Space Dimensions
275
Chapter 10 The Incompressible NavierStokes Equations under Initial and Boundary Conditions
345
Notations and Results from Linear Algebra
361
Interpolation
365
Sobolev Inequalities
371
Application of the ArzelaAscoil Theorem
389
References
393
Author Index
399
Subject Index
401

The Spatially Periodic Case
325

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