# 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

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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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.

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