Mathematical theory in fluid mechanics

G. P AUTOR GALDI, J AUTOR MALEK

Addison Wesley Longman Limited, 1996 - Mathematics - 134 pages

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.

About the author

Malek, Charles University, Prague, Czech Republic.

Bibliographic information

• Title: Mathematical theory in fluid mechanics; Volume 354 of Chapman and Hall/CRC Research Notes in Mathematics Series; Volume 354 of Pitman research notes in mathematics series, ISSN 0269-3674
• Editors: G. P AUTOR GALDI, J AUTOR MALEK
• Contributors: G. P AUTOR GALDI, J AUTOR MALEK, Jindřich Nečas
• Edition: illustrated
• Publisher: Addison Wesley Longman Limited, 1996
• ISBN: 0582298105, 9780582298101
• Length: 134 pages
• Subjects: Mathematics / Algebra / General; Mathematics / Applied; Mathematics / Probability & Statistics / General; Technology & Engineering / Mechanical