Initial-boundary value problems and the Navier-Stokes equations
Heinz-Otto Kreiss, Jens Lorenz
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.
Kategoriler:
Yıl:
2004
Yayımcı:
Society for Industrial and Applied Mathematics
Dil:
english
Sayfalar:
421
ISBN 10:
0898715652
ISBN 13:
9780898715651
Seriler:
Classics in applied mathematics 47
Dosya:
DJVU, 3.32 MB
IPFS:
,
english, 2004