Initial-Boundary Problems and the Navier-Stokes Equation (Classics in Applied Mathematics, Series Number 47) - Softcover

Kreiss, Heinz-Otto; Lorenz, Jens

Softcover

ISBN 10: 0898715652 ISBN 13: 9780898715651

Publisher: SIAM: Society for Industrial and Applied Mathematics, 2004

Synopsis

This book provides an introduction to the vast subject of initial and initial-boundary value problems for PDEs, with an emphasis on applications to parabolic and hyperbolic systems. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. Researchers and graduate students in applied mathematics and engineering will find Initial-Boundary Value Problems and the Navier-Stokes Equations invaluable. The subjects addressed in the book, such as the well-posedness of initial-boundary value problems, are of frequent interest when PDEs are used in modeling or when they are solved numerically. The reader will learn what well-posedness or ill-posedness means and how it can be demonstrated for concrete problems. There are many new results, in particular on the Navier-Stokes equations. The direct approach to the subject still gives a valuable introduction to an important area of applied analysis.

About this title

Book Description

Initial-Boundary Value Problems and the Navier-Stokes Equations gives an introduction to the vast subject of initial and initial-boundary value problems for PDEs. Researchers and graduate students in applied mathematics and engineering will find Initial-Boundary Value Problems and the Navier-Stokes Equations invaluable.

Edition details

• Publisher: SIAM: Society for Industrial and Applied Mathematics
• Publication date: 2004
• Language: English
• ISBN 10: 0898715652
• ISBN 13: 9780898715651
• Binding: Paperback
• Number of pages: 420