Navier-Stokes Equations - Theory and Numerical Methods

List of contents

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).

About the author

Rodolfo Salvi

Summary

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. This title surveys a wide range of topics in fluid mechanics, including compressible, incompressible, and non-newtonian fluids, and hydrodynamic potential theory.

Product details

• Authors: Rodolfo Salvi, Rodolfo (Pol DI Milano Salvi, Salvi Rodolfo
• Assisted by: Zuhair Nashed (Editor of the series), Earl Taft (Editor of the series)
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 31.12.2018
• EAN: 9781138417625
• ISBN: 978-1-138-41762-5
• No. of pages: 308
• Series: Chapman & Hall/CRC Research Notes in Mathematics Series; Chapman & Hall/CRC Research Notes in Mathematics Series; Lecture Notes in Pure and Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / General, MATHEMATICS / Differential Equations / General, Differential calculus & equations, Differential calculus and equations