EPSRC Reference: 
EP/T021535/1 
Title: 
PDEs and dynamical systems 
Principal Investigator: 
Robinson, Professor JC 
Other Investigators: 

Researcher CoInvestigators: 

Project Partners: 

Department: 
Mathematics 
Organisation: 
University of Warwick 
Scheme: 
Overseas Travel Grants (OTGS) 
Starts: 
01 October 2020 
Ends: 
31 March 2024 
Value (£): 
13,737

EPSRC Research Topic Classifications: 
Mathematical Analysis 
Nonlinear Systems Mathematics 

EPSRC Industrial Sector Classifications: 
No relevance to Underpinning Sectors 


Related Grants: 

Panel History: 

Summary on Grant Application Form 
The grant is designed to support continued collaboration in various topics in partial differential equations (PDEs) and, more generally, dynamical systems.
PDEs provide one (very large) class of predictive models used throughout the sciences, and their mathematical study is well established. The study of the collection of all solutions of such a mathematical model, and the description of their behaviour, is the remit of the theory of dynamical systems.
This proposal investigates some fundamental models, e.g. the heat equation and the NavierStokes equations that model fluids, and aims to understand how the structure of the initial heat field can produce seemingly nonlinear behaviour in a linear system, and how numerical computations can be realted to an abstract mathematical treatment (in the case of the NavierStokes equations).
In the more abstract setting of dynamical systems, one strand will develop an appropriate framework in which to treat situations where the system itself (and not just its state) can change over time (socalled "nonautonomomus" dynamical systems).
Two more purely mathematical problems  both of which have applications (one in dynamical systems, one in PDEs)  seek to reproduce "finitedimensional sets" using a finite collection of variables, and to approximate irregular functions by regular functions with "nice" properties.
As such the proposed topics cover a number of mathematical areas with  potentially  a large number of applications.

Key Findings 
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Potential use in nonacademic contexts 
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Impacts 
Description 
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Summary 

Date Materialised 


Sectors submitted by the Researcher 
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Project URL: 

Further Information: 

Organisation Website: 
http://www.warwick.ac.uk 