The Navier-Stokes Equations: Theory and Numerical Methods

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Rodolfo Salvi (Pol Di Milano, Milano, Italy) Hiroyuki Fujita (University of Tokyo, Japan)

The Navier-Stokes Equations

Theory and Numerical Methods

Rodolfo Salvi (Pol Di Milano, Milano, Italy), Hiroyuki Fujita (University of Tokyo, Japan), Zuhair Nashed (University of Central Florida, Orlando, USA) , H. Morimoto (Meiji University, Kawasaki, Japan)

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English

CRC Press Inc
27 September 2001

Differential calculus & equations; Numerical analysis; Maths for engineers; Mechanics of fluids

Series: Lecture Notes in Pure and Applied Mathematics

Contains proceedings of Varenna 2000, the international conference on theory and numerical methods of the navier-Stokes equations, held in Villa Monastero in Varenna,

Lecco, Italy, surveying a wide range of topics in fluid mechanics, including compressible, incompressible, and non-newtonian fluids, the free boundary problem, and hydrodynamic potential theory.

By: Rodolfo Salvi (Pol Di Milano Milano Italy)
Contributions by: Hiroyuki Fujita (University of Tokyo Japan), H. Morimoto (Meiji University, Kawasaki, Japan)
Series edited by: Zuhair Nashed (University of Central Florida Orlando USA), Earl Taft
Imprint: CRC Press Inc
Country of Publication: United States
Volume: v. 223
Dimensions: Height: 254mm, Width: 178mm, Spine: 15mm
Weight: 589g
ISBN: 9780824706722
ISBN 10: 0824706722
Series: Lecture Notes in Pure and Applied Mathematics
Pages: 308
Publication Date: 27 September 2001
Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Undergraduate , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Part 1 Flow in bounded and unbounded domains: a Reynolds equation derived from the micropolar Navier-Stokes system; more Lyapunov functions for the Navier-Stokes equation; on the nonlinear stability of the magnetic Benard problem; stability of Navier-Stokes flows through permeable boundaries; on steady solutions of the Kuramoto-Sivashinsky equation; classical solutions to the stationary Navier-Stokes system in exterior domains; stationary Navier-Stokes flow in two-dimensional Y-shape channel under general outflow condition; regularity of solutions to the Stokes equations under a certain nonlinear boundary condition; viscous incompressible flow in unbounded domains; lifespan and global existence of 2-D compressible fluids; on the theory of nonstationary hyrrodynamic potentials; a note on the blow-up criterion for the inviscid 2-D Boussinesq equations; weak solutions to viscous heat-conducting gas 1D-equations with discontinuous data - global existence, uniqueness, and regularity. Part 2 General qualitative theory: regularity criteria of the axisymmetric Navier-Stokes equations. (Part contents).

Rodolfo Salvi