ENGLISH

Initial-boundary value problems and the Navier-Stokes equations

By Heinz-Otto Kreiss , Jens Lorenz

Book information

Publisher
Academic Press
Year
2004
ISBN
9780898715651, 0898715652, 0124261256, 9780124261259, 9780080874562
LCC
QA3 .P8 vol. 136,QA378 .P8 vol. 136
Open Library ID
OL2031980M
Language
english
Format
DJVU
Filesize
2 MB (2093550 bytes)
Series
Pure and applied mathematics 136
Pages
421\421
Library
Kolxo3
DPI
300
Time added
2009-12-04 00:34:26
Математика;Математическая физика

Description

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.

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