Mathematical Theory in Fluid Mechanics: 1st Edition (Hardback) book cover

Mathematical Theory in Fluid Mechanics

1st Edition

By G P Galdi, Josef Malek, J. Necas

Chapman and Hall/CRC

144 pages

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Hardback: 9780582298101
pub: 1996-08-01
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Description

This volume consists of four contributions that are based on a series of lectures delivered by Jens Frehse. Konstantin Pikeckas, K.R. Rajagopal and Wolf von Wahl t the Fourth Winter School in Mathematical Theory in Fluid Mechanics, held in Paseky, Czech Republic, from December 3-9, 1995. In these papers the authors present the latest research and updated surveys of relevant topics in the various areas of theoretical fluid mechanics.

Specifically, Frehse and Ruzicka study the question of the existence of a regular solution to Navier-Stokes equations in five dimensions by means of weighted estimates. Pileckas surveys recent results regarding the solvability of the Stokes and Navier-Stokes system in domains with outlets at infinity. K.R. Rajagopal presents an introduction to a continuum approach to mixture theory with the emphasis on the constitutive equation, boundary conditions and moving singular surface. Finally, Kaiser and von Wahl bring new results on stability of basic flow for the Taylor-Couette problem in the small-gap limit. This volume would be indicated for those in the fields of applied mathematicians, researchers in fluid mechanics and theoretical mechanics, and mechanical engineers.

Table of Contents

Weighted estimates for the stationary Navier-Stokes equations

Recent advances in the theory of Stokes and Navier-Stokes equations in domains with non-compact boundaries

An introduction to mixture theory

A new functional for the Taylor-Couette problem in the small-gap limit

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
SCI040000
SCIENCE / Mathematical Physics
TEC009070
TECHNOLOGY & ENGINEERING / Mechanical