EPSRC logo

Details of Grant 

EPSRC Reference: EP/H034587/1
Title: Active-dissipative nonlinear spatially extended media: Complexity, coarse-graining, multiscale analysis and numerical methods
Principal Investigator: Kalliadasis, Professor S
Other Investigators:
Pavliotis, Professor G
Researcher Co-Investigators:
Project Partners:
Department: Department of Chemical Engineering
Organisation: Imperial College London
Scheme: Standard Research
Starts: 01 October 2010 Ends: 31 March 2014 Value (£): 390,155
EPSRC Research Topic Classifications:
Numerical Analysis
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:
Panel DatePanel NameOutcome
04 Mar 2010 Mathematics Prioritisation Panel Announced
Summary on Grant Application Form
Spatially extended systems (SES), i.e. infinite dimensional dynamical systems described through partial differential equations deterministic or stochastic in large or unbounded domains, are typically characterized by the presence of a wide range of characteristic length and time scales which often leads to complex spatio-temporal behavior. SES arise frequently as mathematical models of a large variety of natural phenomena and technological applications. The complexity of SES and their dynamics is such that it is very difficult, if not impossible to analyze them directly, either mathematically or, in several cases, numerically. It is imperative, therefore, to seek a low-dimensional description of SES, i.e. to produce coarse grained models that capture most, if not all of the essential dynamic features of the particular applications and which are much easier to study analytically and numerically. The primary aim of the proposed research is the development of state-of-the-art efficient methods for mode reduction and coarse-graining of SES, both deterministic and stochastic.
Key Findings
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Potential use in non-academic contexts
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Impacts
Description This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Summary
Date Materialised
Sectors submitted by the Researcher
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Project URL:  
Further Information:  
Organisation Website: http://www.imperial.ac.uk