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An Introduction to the Mathematical Theory of the Navier-Stokes Equations
ISBN-13:
9780387096209
Veröffentl:
2011
Seiten:
1018
Autor:
Giovanni Galdi
Serie:
Springer Monographs in Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of boundary-value problems related to the Navier-Stokes equations. These properties include existence, uniqueness and regularity of solutions in bounded as well as unbounded domains. Whenever the domain is unbounded, the asymptotic behavior of solutions is also investigated.
Steady-State Solutions of the Navier-Stokes Equations: Statement of the Problem and Open Questions.- Basic Function Spaces and Related Inequalities.- The Function Spaces of Hydrodynamics.- Steady Stokes Flow in Bounded Domains.- Steady Stokes Flow in Exterior Domains.- Steady Stokes Flow in Domains with Unbounded Boundaries.- Steady Oseen Flow in Exterior Domains.- Steady Generalized Oseen Flow in Exterior Domains.- Steady Navier-Stokes Flow in Bounded Domains.- Steady Navier-Stokes Flow in Three-Dimensional Exterior Domains. Irrotational Case.- Steady Navier-Stokes Flow in Three-Dimensional Exterior Domains. Rotational Case.- Steady Navier-Stokes Flow in Two-Dimensional Exterior Domains.- Steady Navier-Stokes Flow in Domains with Unbounded Boundaries.- Bibliography.- Index.
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