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Initial-Boundary Problems and the Navier-Stokes Equation (Classicsin Applied Mathematics)
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ISBN
:
9780898715651
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Publisher
:
SIAM: Society for Industrial and Applied Mathematics
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Subject
:
Mathematics
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Binding
:
PAPERBACK
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Pages
:
420
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Year
:
2004
₹
10291.0
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₹
7821.0
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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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