Contributions to Current Challenges in Mathematical Fluid MechanicsAuthor: Giovanni P. Galdi, John G. Heywood, Rolf Rannacher Published by Birkhäuser Basel ISBN: 978-3-0348-9606-1 DOI: 10.1007/978-3-0348-7877-7Table of Contents:On Multidimensional Burgers Type Equations with Small Viscosity On the Global Well-posedness and Stability of the Navier—Stokes and the Related Equations The Commutation Error of the Space Averaged Navier-Stokes Equations on a Bounded Domain The Nonstationary Stokes and Navier-Stokes Flows Through an Aperture Asymptotic Behavior at Infinity of Exterior Three-dimensional Steady Compressible Flow, Preface -- On Multidimensional Burgers Type Equations with Small Viscosity (A. Biryuk) -- On the Global Well-posedness and Stability of the Navier-Stokes and Related Equations (D. Chae, J. Lee) -- The Commutation Error of the Space Averaged Navier-Stokes Equations on a Bounded Domain (A. Dunca, V. John, W.J. Layton -- The Nonstationary Stokes and Navier-Stokes Flows Through an Aperture (T. Hishida) -- Asymptotic Behaviour at Infinity of Exterior Three-Dimensional Steady Compressible Flow (T. Leonaviciene, K. Pileckas), The mathematical theory of the Navier-Stokes equations presents still fundamental open questions that represent as many challenges for the interested mathematicians. This volume collects a series of articles whose objective is to furnish new contributions and ideas to these questions, with particular regard to turbulence modelling, regularity of solutions to the initial-value problem, flow in region with an unbounded boundary and compressible flow. Contributors: A. Biryuk D. Chae and J. Lee A. Dunca, V. John and W.J. Layton T. Hishida T. Leonaviciene and K. Pileckas