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: |
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Researcher Co-Investigators: |
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Project Partners: |
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Department: |
Chemical Engineering |
Organisation: |
Imperial College London |
Scheme: |
Standard Research |
Starts: |
01 October 2010 |
Ends: |
31 March 2014 |
Value (£): |
390,155
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EPSRC Research Topic Classifications: |
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EPSRC Industrial Sector Classifications: |
No relevance to Underpinning Sectors |
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Related Grants: |
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Panel History: |
Panel Date | Panel Name | Outcome |
04 Mar 2010
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Mathematics Prioritisation Panel
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Announced
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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.
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Key Findings |
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Potential use in non-academic contexts |
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Impacts |
Description |
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Summary |
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Date Materialised |
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Sectors submitted by the Researcher |
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Project URL: |
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Further Information: |
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Organisation Website: |
http://www.imperial.ac.uk |