BAIL 2008 - Boundary and Interior Layers

These Proceedings contain a selection of the lectures given at the conference BAIL 2008: Boundary and Interior Layers Computational and Asymptotic Methods, which was held from 28th July to 1st August 2008 at the University of Limerick, Ireland. The ?rst three BAIL conferences (1980, 1982, 1984) were organised by Professor John Miller in Trinity College Dublin, Ireland. The next seven were held in Novosibirsk (1986), Shanghai (1988), Colorado (1992), Beijing (1994), Perth (2002),Toulouse(2004),and Got ¨ tingen(2006).With BAIL 2008the series returned to Ireland. BAIL 2010 is planned for Zaragoza. The BAIL conferences strive to bring together mathematicians and engineers whose research involves layer phenomena,as these two groups often pursue largely independent paths. BAIL 2008, at which both communities were well represented, succeeded in this regard. The lectures given were evenly divided between app- cations and theory, exposing all conference participants to a broad spectrum of research into problems exhibiting solutions with layers. The Proceedings give a good overview of current research into the theory, app- cation and solution (by both numerical and asymptotic methods) of problems that involve boundaryand interior layers. In addition to invited and contributed lectures, the conference included four mini-symposia devoted to stabilized ?nite element methods, asymptotic scaling of wall-bounded ?ows, systems of singularly p- turbed differential equations, and problems with industrial applications (supported by MACSI, the Mathematics Applications Consortium for Science and Industry). These titles exemplify the mix of interests among the participants.

Contenu
Invited paper.- High-Reynolds-Number Asymptotics of Turbulent Boundary Layers.- A Deterministic Multiscale Approach for Simulating Dilute Polymeric Fluids.- Temperature Factor Effect on Separated Flow Features in Supersonic Gas Flow.- Recent Results on Local Projection Stabilization for Convection-Diffusion and Flow Problems.- Contributed papers.- Numerical Simulation of the Towing Tank Problem Using High Order Schemes.- Nonlinear Singular Kelvin Modes in a Columnar Vortex.- High Order Schemes for Reaction-Diffusion Singularly Perturbed Systems.- A Patched Mesh Method for Singularly Perturbed Eeaction-Diffusion Equations.- Singularly Perturbed Reaction-Diffusion Problem with a Boundary Turning Point.- Examination of the Performance of Robust Numerical Methods for Singularly Perturbed Quasilinear Problems with Interior Layers.- Glycolysis as a Source of "External osmoles":The Vasa Recta Transient Model.- A System of Singularly Perturbed Semilinear Equations.- On Finite Element Methods for 3D Time-Dependent Convection-Diffusion-Reaction Equations with Small Diffusion.- On the Application of Local Projection Methods to Convection#x2013;Diffusion#x2013;Reaction Problems.- A Locally Adapting Parameter Design for the Divergence Stabilization of FEM Discretizations of the Navier-Stokes Equations.- Distributed and Boundary Control of Singularly Perturbed Advection-Diffusion-Reaction Problems.- Antisymmetric Aspects of a Perturbed Channel Flow.- Turbulence Receptivity of Longitudinal Vortex-Dominated Flows.- A Thermally Induced Singularity in a Wake.- A Schwarz Technique for a System of Reaction Diffusion Equations with Differing Parameters.- On Numerical Simulation of an Aeroelastic Problem Nearby the Flutter Boundary.- A Parameter-Uniform Finite Difference Method for a Singularly Perturbed Initial Value Problem: a Special Case.- Boundary Shock Problems and Singularly Perturbed Riccati Equations.- Electrochemical Pickling.- Energy Norm A-Posteriori Error Estimates for a Discontinuous Galerkin Scheme Applied to Elliptic Problems with an Interface.