Advances in Mathematical Fluid Mechanics

1. Front Matter

   Pages i-xxv

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2. Isotropically and Anisotropically Weighted Sobolev Spaces for the Oseen Equation

   • Chérif Amrouche, Ulrich Razafison

   Pages 1-24

3. A New Model of Diphasic Fluids in Thin Films

   • Guy Bayada, Laurent Chupin, Bérénice Grec

   Pages 25-35

4. On the Global Integrability for Any Finite Power of the Full Gradient for a Class of Generalized Power Law Models p < 2

   • Hugo Beirão da Veiga

   Pages 37-42

5. Steady Flow Around a Floating Body: The Rotationally Symmetric Case

   • Josef Bemelmans, Mads Kyed

   Pages 43-54

6. On a Stochastic Approach to Eddy Viscosity Models for Turbulent Flows

   • Luigi C. Berselli, Franco Flandoli

   Pages 55-81

7. Numerical Study of the Significance of the Non-Newtonian Nature of Blood in Steady Flow Through a Stenosed Vessel

   • Tomáš Bodnár, Adélia Sequeira

   Pages 83-104

8. A Priori Convergence Estimates for a Rough Poisson-Dirichlet Problem with Natural Vertical Boundary Conditions

   • Eric Bonnetier, Didier Bresch, Vuk Milišić

   Pages 105-134

9. Vortex Induced Oscillations of Cylinders at Low and Intermediate Reynolds Numbers

   • Roberto Camassa, Bong Jae Chung, Philip Howard, Richard McLaughlin, Ashwin Vaidya

   Pages 135-145

10. One-dimensional Modelling of Venous Pathologies: Finite Volume and WENO Schemes

    • Nicola Cavallini, Vincenzo Coscia

    Pages 147-170

11. On the Energy Equality for Weak Solutions of the 3D Navier-Stokes Equations

    • Alexey Cheskidov, Susan Friedlander, Roman Shvydkoy

    Pages 171-175

12. The ( p - q) Coupled Fluid-Energy Systems

    • Luisa Consiglieri

    Pages 177-190

13. A Potential-Theoretic Approach to the Time-Dependent Oseen System

    • Paul Deuring

    Pages 191-214

14. Regularity of Weak Solutions for the Navier-Stokes Equations Via Energy Criteria

    • Reinhard Farwig, Hideo Kozono, Hermann Sohr

    Pages 215-227

15. Looking for the Lost Memory in Diffusion-Reaction Equations

    • José Augusto Ferreira, Paula de Oliveira

    Pages 229-251

16. Maximum Principle and Gradient Estimates for Stationary Solutions of the Navier-Stokes Equations: A Partly Numerical Investigation

    • Robert Finn, Abderrahim Ouazzi, Stefan Turek

    Pages 253-269

17. A Study of Shark Skin and Its Drag Reducing Mechanism

    • Elfriede Friedmann, Julia Portl, Thomas Richter

    Pages 271-285

18. Stability of Poiseuille Flow in a Porous Medium

    • Antony A. Hill, Brian Straughan

    Pages 287-293

19. Towards a Geometrical Multiscale Approach to Non-Newtonian Blood Flow Simulations

    • João Janela, Alexandra Moura, Adélia Sequeira

    Pages 295-309

20. The Role of Potential Flow in the Theory of the Navier-Stokes Equations

    • Daniel D. Joseph

    Pages 311-317

The present volume celebrates the 60th birthday of Professor Giovanni Paolo Galdi and honors his remarkable contributions to research in the ?eld of Mathematical Fluid Mechanics. The book contains a collection of 35 peer reviewed papers, with authors from 20 countries, re?ecting the worldwide impact and great inspiration by his work over the years. These papers were selected from invited lectures and contributed talks presented at the International Conference on Mathematical Fluid Mechanics held in Estoril, Portugal, May 21–25, 2007 and organized on the oc- sion of Professor Galdi’s 60th birthday. We express our gratitude to all the authors and reviewers for their important contributions. Professor Galdi devotes his career to research on the mathematical analysis of the Navier-Stokes equations and non-Newtonian ?ow problems, with special emphasis on hydrodynamic stability and ?uid-particle interactions, impressing the worldwide mathematical communities with his results. His numerous contributions have laid down signi?cant milestones in these ?elds, with a great in?uence on interdis- plinary research communities. He has advanced the careers of numerous young researchers through his generosity and encouragement, some directly through int- lectual guidance and others indirectly by pairing them with well chosen senior c- laborators. A brief review of Professor Galdi’s activities and some impressions by colleagues and friends are included here.

• Blood flow
• Fluid-structure interaction
• Navier-Stokes equation
• Navier-Stokes equations
• Non-Newtonian models
• Stokes and Oseen systems
• fluid mechanics

• Interdisziplinäres Zentrum für, Universität Heidelberg, Heidelberg, Germany

  Rolf Rannacher

• Depto. Mathemática, Istituto Superior Técnico, Lisboa, Portugal

  Adélia Sequeira

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