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 organized 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.
Reviews and research articles summarizing a wide range of active research topics in fluid mechanics.
Daugiau informacijos
Reviews and research articles summarizing a wide range of active research topics in fluid mechanics.
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. Bulķek, J. Mįlek and
K. R. Rajagopal;
3. The uniqueness of Lagrangian trajectories in
NavierStokes flows M. Dashti and J. C. Robinson;
4. Some controllability
results in fluid mechanics E. Fernįndez-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
NavierStokes system I. Kukavica;
7. Anisotropic NavierStokes equations in a
bounded cylindrical domain M. Paicu and G. Raugel;
8. The regularity problem
for the three-dimensional NavierStokes 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
NavierStokes equations R. M. Rosa.
James C. Robinson is Reader of Mathematics in the Mathematics Institute at the University of Warwick. José L. Rodrigo is Associate Professor in the Mathematics Institute at the University of Warwick.
