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Initial-Boundary Value Problems and the Navier-Stokes Equation
Heinz-Otto KreissJens Lorenz
出版SIAM, 2004-01-01
主題Science / GeneralMathematics / GeneralMathematics / Applied
ISBN08987156529780898715651
URLhttp://books.google.com.hk/books?id=D9KJL76qlfoC&hl=&source=gbs_api
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註釋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.