A two-day workshop was recently held at the Department of Mathematical and Computing Sciences of the University of Surrey. The Workshop focused on the use of functional analysis to find, study, and illuminate physical properties of dissipative partial differential equations. The main topics addressed were stability, pattern formation, length scales, spatial dynamics, blow-up, turbulence, combustion problems, finite-dimensional reductions and centre manifold theory for PDEs.
This Workshop was one of three summer meetings which have been organised as part of the activities of the Centre for Interdisciplinary Nonlinear Mathematics at Surrey University. The workshop was supported by grants from the LMS and the School of Electronic Engineering, Information Technology and Mathematics at the University of Surrey.
|C. Beck||Velocity Distributions in Fully Developed Hydrodynamical Turbulence|
|C. Budd and V. Galaktionov||Stability and Spectra of Blow-up in Problems with Quasi-Linear Gradient Diffusivity|
|C. Davies||Boundary-Layer Stability Investigations Using a Novel Formulation of the Navier-Stokes Equations|
|R. Douglas||Rearrangements of Functions, with Application to Energy Minimising Solutions of Atmospheric Flow|
|J. Furter||Eigenvalues Estimates and Bifurcation|
|J. Gibbon||Alignment of Vorticity in the 3D Euler and Navier-Stokes Equations|
|M. Groves||Centre-Manifold Reduction and Multi-Bumped Solitary-Wave Solutions to the Water-Wave Problem|
|T. Humphries||Lower Semi-Continuity of Non-Gradient Attractors Under Perturbation|
|A. Ilyin||Global Averaging of Dissipative Dynamical o Systems|
|R. Kerswell||Variational Bounds on the Energy Dissipation in Shear Driven Turbulence|
|J. King and M. Bowen||High Order Diffusion|
|S. Malham and J. Xin||Reactive Boussinesq Systems|
|A. Mielke||Dynamics of Dissipative PDEs on Unbounded Domains|
|J. Robinson||Embedding Attractor Dynamics in Finite-Dimensional Spaces|
|J. Shebalin||The Statistical Mechanics of Ideal Fluid Turbulence|
|J. Sherratt||Oscillations and Chaos Behind Ecological Invasions|
|B. Straughan||Interesting Instability Results in Penetrative Convection|
Department of Mathematical and Computing Science,
University of Surrey.