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Introduction to the mathematical theory of compressible flow / A. Novotny, I. Straskraba

Auteur principal : Novotný, Antonin, AuteurCo-auteur : Straskraba, Ivan, AuteurType de document : MonographieCollection : Oxford lecture series in mathematics and its applications, 27Langue : anglais.Pays : Etats Unis.Éditeur : New York : Oxford University Press, 2004Description : 1 vol. (XX-506 p.) ; 24 cmISBN : 0198530846.Bibliographie : Bibliogr. p. 485-498. Index.Sujet MSC : 35Q35, PDEs of mathematical physics and other areas of application, PDEs in connection with fluid mechanics
76N10, Fluid mechanics, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
35Q30, PDEs of mathematical physics and other areas of application, Navier-Stokes equations
35L60, PDEs - Hyperbolic equations and hyperbolic systems, First-order nonlinear hyperbolic equations
35Q05, PDEs of mathematical physics and other areas of application, Euler-Poisson-Darboux equations
En-ligne : Zentralblatt | MathSciNet
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Bibliogr. p. 485-498. Index

he book has four main parts divided into nine chapters. The first part (Chapter 1) is devoted to a short presentation of equations and notation together with basic functional analysis which is used throughout. In the second part (Chapter 2), the authors focus on the inviscid case (Euler equations). The third part (Chapters 3, 4, 5) is concerned with the steady compressible Navier-Stokes equations whereas the last part (Chapters 6, 7, 8 and 9) is devoted to the nonstationary case. (MathSciNet)

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