Partial Differential Equations and Fluid Mechanics (eBook, PDF)

Redaktion: Robinson, James C.

• Format: PDF

Produktbeschreibung

Recent years have seen considerable research activity at the interface of mathematics and fluid mechanics, particularly partial differential equations. The 2007 workshop at the University of Warwick was organised to consolidate, survey and further advance the subject. This volume is an outgrowth of that workshop. It consists of a number of reviews and a selection of more traditional research articles. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves as both a helpful overview for graduate students new to the area and a useful resource for more established researchers.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 16. Juli 2009
• Englisch
• ISBN-13: 9781139118989
• Artikelnr.: 38276873

Inhaltsangabe

Preface; List of contributors; 1. Shear flows and their attractors M.
Boukrouche and G. Lukaszewicz; 2. Mathematical results concerning unsteady
flows of chemically reacting incompressible fluids M. Bulí¿ek, J. Málek and
K. R. Rajagopal; 3. The uniqueness of Lagrangian trajectories in
Navier-Stokes flows M. Dashti and J. C. Robinson; 4. Some controllability
results in fluid mechanics E. Fernández-Cara; 5. Singularity formation and
separation phenomena in boundary layer theory F. Gargano, M. C. Lombardo,
M. Sammartino and V. Sciacca; 6. Partial regularity results for solutions
of the Navier-Stokes system I. Kukavica; 7. Anisotropic Navier-Stokes
equations in a bounded cylindrical domain M. Paicu and G. Raugel; 8. The
regularity problem for the three-dimensional Navier-Stokes equations J. C.
Robinson and W. Sadowski; 9. Contour dynamics for the surface
quasi-geostrophic equation J. L. Rodrigo; 10. Theory and applications of
statistical solutions of the Navier-Stokes equations R. M. Rosa.