Initial-boundary Problems and the Navier-Stokes Equation
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Initial-boundary Problems and the Navier-Stokes Equation by Heinz-Otto Kreiss
Book DescriptionThis 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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Book DetailsISBN: 9780898715651
(228mm x 152mm x 20mm)
Imprint: Society for Industrial & Applied Mathematics,U.S.
Publisher: Society for Industrial & Applied Mathematics,U.S.
Publish Date: 1-Jan-2004
Country of Publication: United States
Books By Author Heinz-Otto Kreiss
Introduction to Numerical Methods for Time Dependent Differential Equations, Hardback (May 2014)
Introduces both the fundamentals of time dependent differential equations and their numerical solutions Introduction to Numerical Methods for Time Dependent Differential Equations delves into the underlying mathematical theory needed to solve time dependent differential equations numerically.
Time Dependent Problems and Difference Methods, Hardback (September 2013)» View all books by Heinz-Otto Kreiss
Written by authors at the forefront of their field, this Second Edition discusses problems with periodic solutions, and presents new information on initial boundary value problems and numerical methods for partial differential equations.
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