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Initial-boundary value problems and the Navier-Stokes equations

Main Author: Kreiss, Heinz-Otto, author
Format: Book Bachelors
Terbitan: Society for Industrial and Applied Mathematics , 2004
Subjects:
Initial value problems
Boundary value problems
Navier-Stokes equations
Online Access: http://lib.ui.ac.id/file?file=digital/2017-3/20448047-Initial-boundary value problems and the Navier-Stokes equations.pdf
ctrlnum 20448047
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format Book:Book
Book
Thesis:Bachelors
Thesis
author Kreiss, Heinz-Otto, author
title Initial-boundary value problems and the Navier-Stokes equations
publisher Society for Industrial and Applied Mathematics
publishDate 2004
topic Initial value problems
Boundary value problems
Navier-Stokes equations
url http://lib.ui.ac.id/file?file=digital/2017-3/20448047-Initial-boundary value problems and the Navier-Stokes equations.pdf
contents 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 book explains the principles of these subjects. 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. When the book was written, the main intent was to write a text on initial-boundary value problems that was accessible to a rather wide audience. Therefore, functional analytical prerequisites were kept to a minimum or were developed in the book. Boundary conditions are analyzed without first proving trace theorems, and similar simplications have been used throughout. The direct approach to the subject still gives a valuable introduction to an important area of applied analysis.
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