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ePub An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Linearized Steady Problems v. 1 (Springer Tracts in Natural Philosophy S.) download

by G.P. Galdi

ePub An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Linearized Steady Problems v. 1 (Springer Tracts in Natural Philosophy S.) download
Author:
G.P. Galdi
ISBN13:
978-3540941729
ISBN:
354094172X
Language:
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K (March 1, 1994)
Category:
Subcategory:
Physics
ePub file:
1200 kb
Fb2 file:
1129 kb
Other formats:
docx doc mbr lrf
Rating:
4.4
Votes:
869

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

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.

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Several mathematical problems related to the motion of a viscous, incompressible fluid . The Liouville problem for the stationary Navier-Stokes equations on the whole space is a challenging open problem who has know several recent contributions.

Several mathematical problems related to the motion of a viscous, incompressible fluid find their natural formulation in certain spaces of vector functions that can be considered as characteristic of those problems. We prove here some Liouville type theorems for these equations provided the velocity field belongs to some Lorentz spaces and then in the more general setting of Morrey spaces.

I recommend instead "Navier-Stokes Equations: Theory and Numerical Analysis" by Roger Temam; that book at least does not limit itself to the steady-state equations. The only advantage this book by Galdi has over Temam's is that it contains numerous exercises while Temam does not have any. At the same time, those exercises are in my opinion too difficult for the reader.

Navier-Stokes Equations book. This is the first of four volumes on the Navier-Stokes equations, specifically on Linearized Steady Problems.

An Introduction to the Mathematical Theory of the Navier-Stokes Equations book. The volumes deal with the fundamental mathematical properties of the Navier-Stokes equations, such as existence, regularity and uniqueness of solutions, and, for unbounded domains, their asymptotic behavior. An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Volume 1: Linearized Steady Problems (Springer Tracts in Natural Philosophy).

Undoubtedly, the Navier-Stokes equations are of basic importance within the context of modern theory of partial differential equations. Although the range of their applicability to concrete problems has now been clearly recognised to be limited, as my dear friend and bright colleague . Ra jagopal has showed me by several examples during the past six years, the mathematical questions that remain open are of such a fascinating and challenging nature that analysts and applied mathematicians cannot help being attracted by them and trying to contribute to their resolution.

An Introduction to the Mathematical Theory of the Navier-Stokes Equati. 1 2 3 4 5. Want to Read. July 31, 1998, Springer.

Contents: 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 Exterioir Domains.

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theory and to deal operationally with systems methodology The Mathematical Sciences in 2025. 54 MB·30,948 Downloads·New! examines the current state of the mathematical sciences and explores the changes needed for the disciplin. 9 MB·11,548 Downloads. Page 1. Page 2 Consultant Surgeon and Clinical Director, Sheffield Teaching Hospitals Trust Browse's Introduction. Frontiers in Massive Data Analysis.

Springer Tracts in Natural Philosophy. Undoubtedly, the Navier-Stokes equations are of basic importance within the context of modern theory of partial differential equations

Springer Tracts in Natural Philosophy. Undoubtedly, the Navier-Stokes equations are of basic importance within the context of modern theory of partial differential equations. Ra jagopal has showed me by several examples during the past six years, the mathematical questions that remain open are of such a fascinating and challenging nature that analysts and applied mathematicians cannot help being attracted by. them and trying to contribute to their resolution.

This is the first of four volumes on the Navier-Stokes equations, focusing on linearized steady problems. The volumes deal with the fundamental mathematical properties of the Navier-Stokes equations, such as existence, regularity and uniqueness of solutions, and, for unbounded domains, their asymptotic behaviour. The work is an up-to-date and detailed investigation of these problems for motions in domains of different types: bounded, exterior and domains with noncompact boundaries. Throughout the work, main problems which remain unsolved are pointed out and for some of these conjectures are offered. New results are presented throughout, while several classical subjects are treated in a completely original way. The work is mathematically self-contained, requiring no specific background. The 200-plus exercises along with the chapter summaries and questions make this a textbook for any theoretical fluid mechanics course; it is suitable as well for self-teaching.